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Celebratio Mathematica

Daniel W. Stroock


Bibliography

[1]D. Stroock: “Pen­et­ra­tion times and pas­sage times,” pp. 193–​204 in Markov pro­cesses and po­ten­tial the­ory (Madis­on, WI, 1967). Wiley (New York), 1967. MR 0229307 Zbl 0178.​20701

[2]D. W. Stroock: “The Kac ap­proach to po­ten­tial the­ory. I,” J. Math. Mech. 16 (1967), pp. 829–​852. MR 0208690 Zbl 0148.​36202

[3]D. W. Stroock: “A mini-max the­or­em in clas­sic­al po­ten­tial the­ory,” Bull. Acad. Po­lon. Sci. Sér. Sci. Math. As­tro­nom. Phys. 15 (1967), pp. 603–​606. MR 0228698 Zbl 0157.​18803

[4]D. W. Stroock: “The Kac ap­proach to po­ten­tial the­ory. II,” Comm. Pure Ap­pl. Math. 20 (1967), pp. 775–​795. MR 0217880 Zbl 0153.​15403

[5]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses with con­tinu­ous coef­fi­cients. II,” Comm. Pure Ap­pl. Math. 22 (July 1969), pp. 479–​530. MR 0254923 Zbl 0167.​43904 article

[6]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses with con­tinu­ous coef­fi­cients. I,” Comm. Pure Ap­pl. Math. 22 (May 1969), pp. 345–​400. MR 0253426 Zbl 0167.​43903 article

[7]D. W. Stroock: “On cer­tain sys­tems of para­bol­ic equa­tions,” Comm. Pure Ap­pl. Math. 23 (1970), pp. 447–​457. MR 0272075 Zbl 0188.​41103

[8]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses with bound­ary con­di­tions,” Comm. Pure Ap­pl. Math. 24 (March 1971), pp. 147–​225. MR 0277037 Zbl 0227.​76131 article

[9]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses and mar­tin­gales. II,” pp. 67–​75 in Mar­tin­gales (Ober­wolfach, May 17–30, 1970). Edi­ted by H. Dinges. Lec­ture Notes in Math­em­at­ics 190. Spring­er (Ber­lin), 1971. MR 0359025 incollection

[10]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses and mar­tin­gales. I,” pp. 60–​66 in Mar­tin­gales (Ober­wolfach, May 17–30, 1970). Edi­ted by H. Dinges. Lec­ture Notes in Math­em­at­ics 190. Spring­er (Ber­lin), 1971. MR 0359024 incollection

[11]D. W. Stroock: “On the growth of stochast­ic in­teg­rals,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 18 (1971), pp. 340–​344. MR 0287622 Zbl 0203.​50002

[12]D. W. Stroock and S. R. S. Varadhan: “Dif­fu­sion pro­cesses,” pp. 361–​368 in Pro­ceed­ings of the sixth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, June 21–Ju­ly 18, 1970), vol. III: Prob­ab­il­ity the­ory. Edi­ted by L. M. Le Cam, J. Ney­man, and E. L. Scott. Univ. Cali­for­nia Press (Berke­ley, CA), 1972. MR 0397899 Zbl 0255.​60055 inproceedings

[13]D. W. Stroock and S. R. S. Varadhan: “On the sup­port of dif­fu­sion pro­cesses with ap­plic­a­tions to the strong max­im­um prin­ciple,” pp. 333–​359 in Pro­ceed­ings of the sixth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, June 21–Ju­ly 18, 1970), vol. III: Prob­ab­il­ity the­ory. Edi­ted by L. M. Le Cam, J. Ney­man, and E. L. Scott. Uni­versity of Cali­for­nia Press (Berke­ley, CA), 1972. MR 0400425 Zbl 0255.​60056 inproceedings

[14]D. Stroock and S. R. S. Varadhan: “On de­gen­er­ate el­lipt­ic-para­bol­ic op­er­at­ors of second or­der and their as­so­ci­ated dif­fu­sions,” Comm. Pure Ap­pl. Math. 25 : 6 (November 1972), pp. 651–​713. MR 0387812 Zbl 0344.​35041 article

[15]D. W. Stroock and S. R. S. Varadhan: “Lim­it the­or­ems for ran­dom walks on Lie groups,” Sankhyā Ser. A 35 : 3 (September 1973), pp. 277–​294. MR 0517406 Zbl 0299.​60007 article

[16]D. W. Stroock and S. R. S. Varadhan: “Mar­tin­gales. I, II, III,” pp. 113–​161 in Top­ics in prob­ab­il­ity the­ory (Cour­ant In­sti­tute, New York, 1971–1972). Edi­ted by D. W. Stroock and S. R. S. Varadhan. Cour­ant In­sti­tute of Math­em­at­ic­al Sci­ences (New York), 1973. MR 0410912 incollection

[17]D. W. Stroock and S. R. S. Varadhan: “Prob­ab­il­ity the­ory and the strong max­im­um prin­ciple,” pp. 215–​220 in Par­tial dif­fer­en­tial equa­tions (Berke­ley, CA, 9–27 Au­gust, 1971). Edi­ted by D. C. Spen­cer. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 23. Amer­er­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1973. MR 0380109 Zbl 0262.​35028 incollection

[18]Top­ics in prob­ab­il­ity the­ory (Cour­ant In­sti­tute of Math­em­at­ic­al Sci­ences, New York, 1971–1972). Edi­ted by D. W. Stroock and S. R. S. Varadhan. Cour­ant In­sti­tute of Math­em­at­ic­al Sci­ences (New York), 1973. MR 0353393 Zbl 0258.​00010 book

[19]D. W. Stroock: “On a con­jec­ture of M. Kac,” Bull. Amer. Math. Soc. 79 (1973), pp. 770–​775. MR 0322345 Zbl 0273.​35054

[20]D. W. Stroock: “Weak con­ver­gence and the in­vari­ance prin­ciple,” pp. 33–​57 in Top­ics in prob­ab­il­ity the­ory (Cour­ant Inst. Math. Sci., New York, 1971–1972). Cour­ant Inst. Math. Sci. (New York), 1973. MR 0415710 Zbl 0269.​60004

[21]D. W. Stroock: “Ap­plic­a­tions of Fef­fer­man–Stein type in­ter­pol­a­tion to prob­ab­il­ity the­ory and ana­lys­is,” Comm. Pure Ap­pl. Math. 26 (1973), pp. 477–​495. MR 0341601 Zbl 0267.​60051

[22]D. W. Stroock: “Some stochast­ic pro­cesses which arise from a mod­el of the mo­tion of a bac­teri­um,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 28 (1973/74), pp. 303–​315. MR 0386038

[23]D. Stroock and S. R. S. Varadhan: “A prob­ab­il­ist­ic ap­proach to \( H^{p}(R^{d}) \),” Trans. Amer. Math. Soc. 192 (1974), pp. 245–​260. MR 0365696 Zbl 0289.​60029 article

[24]L. Bag­gett and D. Stroock: “An er­god­ic the­or­em for Pois­son pro­cesses on a com­pact group with ap­plic­a­tions to ran­dom evol­u­tions,” J. Func­tion­al Ana­lys­is 16 (1974), pp. 404–​414. MR 0362432

[25]D. W. Stroock: “Dif­fu­sion pro­cesses as­so­ci­ated with Lévy gen­er­at­ors,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 32 : 3 (1975), pp. 209–​244. MR 0433614 Zbl 0292.​60122

[26]R. A. Hol­ley and D. W. Stroock: “A mar­tin­gale ap­proach to in­fin­ite sys­tems of in­ter­act­ing pro­cesses,” Ann. Prob­ab­il­ity 4 : 2 (1976), pp. 195–​228. MR 0397927 Zbl 0332.​60072

[27]R. A. Hol­ley and D. W. Stroock: “\( L_{2} \) the­ory for the stochast­ic Ising mod­el,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 35 : 2 (1976), pp. 87–​101. MR 0410985 Zbl 0332.​60073

[28]D. W. Stroock: “Some com­ments on in­de­pend­ent \( \sigma \)-al­geb­ras,” Col­loq. Math. 35 : 1 (1976), pp. 7–​13. MR 0430201 Zbl 0337.​28001

[29]R. A. Hol­ley and D. W. Stroock: “Ap­plic­a­tions of the stochast­ic Ising mod­el to the Gibbs states,” Comm. Math. Phys. 48 : 3 (1976), pp. 249–​265. MR 0428984

[30]G. C. Papan­ic­ol­aou, D. Stroock, and S. R. S. Varadhan: “Mar­tin­gale ap­proach to some lim­it the­or­ems,” pp. ii+120 pp. in Duke tur­bu­lence con­fer­ence (Durham, NC, April 23–25, 1976). Edi­ted by P. L. Chow. Duke Uni­versity Math­em­at­ics Series III. Duke Uni­versity (Durham, NC), 1977. MR 0461684 incollection

[31]R. A. Hol­ley and D. W. Stroock: “In one and two di­men­sions, every sta­tion­ary meas­ure for a stochast­ic Ising mod­el is a Gibbs state,” Comm. Math. Phys. 55 : 1 (1977), pp. 37–​45. MR 0451455

[32]D. Stroock: “Two lim­it the­or­ems for ran­dom evol­u­tions hav­ing non er­god­ic driv­ing pro­cesses,” pp. 241–​253 in Pro­ceed­ings of the con­fer­ence on stochast­ic dif­fer­en­tial equa­tions and ap­plic­a­tions (Park City, UT, 1976). Aca­dem­ic Press (New York), 1977. MR 0461685

[33]R. A. Hol­ley and D. W. Stroock: “Stochast­ic pro­cesses which arise in the study of spin-flip mod­els in stat­ist­ic­al mech­an­ics,” pp. 187–​195 in Sym­po­sia Math­em­at­ica (IN­DAM, Rome, 1975), vol. XXI. Aca­dem­ic Press (Lon­don), 1977. MR 0464441 Zbl 0377.​60087

[34]R. Hol­ley, D. Stroock, and D. Wil­li­ams: “Ap­plic­a­tions of dual pro­cesses to dif­fu­sion the­ory,” pp. 23–​36 in Prob­ab­il­ity (Univ. Illinois, Urb­ana, IL, 1976). Proc. Sym­pos. Pure Math. XXXI. Amer. Math. Soc. (Provid­ence, RI), 1977. MR 0443110 Zbl 0382.​60081

[35]R. A. Hol­ley and D. W. Stroock: “Gen­er­al­ized Orn­stein–Uh­len­beck pro­cesses and in­fin­ite particle branch­ing Browni­an mo­tions,” Publ. Res. Inst. Math. Sci. 14 : 3 (1978), pp. 741–​788. MR 527199 Zbl 0412.​60065

[36]D. W. Strook: Lec­tures on in­fin­ite in­ter­act­ing sys­tems. Lec­tures in Math­em­at­ics (Kyoto Uni­versity) 11. Kinok­uniya Book-Store Co. Ltd. (Tokyo), 1978. MR 0478411

[37]R. Hol­ley and D. Stroock: “In­vari­ance prin­ciples for some in­fin­ite particle sys­tems,” pp. 153–​173 in Stochast­ic ana­lys­is (North­west­ern Univ., Evan­ston, IL, 1978). Aca­dem­ic Press (New York), 1978. MR 517240 Zbl 0444.​60097

[38]R. A. Hol­ley and D. W. Stroock: “Nearest neigh­bor birth and death pro­cesses on the real line,” Acta Math. 140 : 1–​2 (1978), pp. 103–​154. MR 0488380 Zbl 0405.​60090

[39]R. Hol­ley and D. W. Stroock: “Cent­ral lim­it phe­nom­ena of vari­ous in­ter­act­ing sys­tems,” Ann. of Math. (2) 110 : 2 (1979), pp. 333–​393. MR 549491

[40]R. Hol­ley and D. Stroock: “Dual pro­cesses and their ap­plic­a­tion to in­fin­ite in­ter­act­ing sys­tems,” Adv. in Math. 32 : 2 (1979), pp. 149–​174. MR 535620 Zbl 0459.​60097

[41]D. W. Stroock and S. R. S. Varadhan: Mul­ti­di­men­sion­al dif­fu­sion pro­cesses, vol. 233. Grundlehren der Math­em­at­ischen Wis­senschaften. Spring­er-Ver­lag (Ber­lin), 1979.

[42]D. W. Stroock: “Some re­marks about Beck­ner’s in­equal­ity,” pp. 149–​157 in Har­mon­ic ana­lys­is in Eu­c­lidean spaces (Wil­li­ams Coll., Wil­li­am­stown, Mass., 1978), Part 1. Proc. Sym­pos. Pure Math. XXXV. Amer. Math. Soc. (Provid­ence, RI), 1979. MR 545251 Zbl 0439.​42013

[43]R. Hol­ley and D. Stroock: “The D.L.R. con­di­tions for trans­la­tion in­vari­ant Gaus­si­an meas­ures on \( {\mathcal S}^{\prime} (\mathbf{R}^{d}) \),” Z. Wahr­sch. Verw. Ge­bi­ete 53 : 3 (1980), pp. 293–​304. MR 586022

[44]D. W. Stroock and M. Yor: “On ex­tremal solu­tions of mar­tin­gale prob­lems,” Ann. Sci. École Norm. Sup. (4) 13 : 1 (1980), pp. 95–​164. MR 584083 Zbl 0447.​60034

[45]R. Hol­ley and D. Stroock: “Gen­er­al­ized Orn­stein–Uh­len­beck pro­cesses as lim­its of in­ter­act­ing sys­tems,” pp. 152–​168 in Stochast­ic in­teg­rals (Univ. Durham, 1980). Lec­ture Notes in Math. 851. Spring­er (Ber­lin), 1981. MR 620990 Zbl 0463.​60086

[46]D. W. Stroock: “The Malliavin cal­cu­lus and its ap­plic­a­tions,” pp. 394–​432 in Stochast­ic in­teg­rals (Univ. Durham, 1980). Lec­ture Notes in Math. 851. Spring­er (Ber­lin), 1981. MR 620997 Zbl 0459.​60052

[47]R. Hol­ley and D. Stroock: “Dif­fu­sions on an in­fin­ite-di­men­sion­al tor­us,” J. Funct. Anal. 42 : 1 (1981), pp. 29–​63. MR 620579 Zbl 0501.​58039

[48]D. W. Stroock: “The Malliavin cal­cu­lus and its ap­plic­a­tion to second or­der para­bol­ic dif­fer­en­tial equa­tions. II,” Math. Sys­tems The­ory 14 : 2 (1981), pp. 141–​171. MR 616961 Zbl 0474.​60062

[49]D. W. Stroock and M. Yor: “Some re­mark­able mar­tin­gales,” pp. 590–​603 in Sem­in­ar on Prob­ab­il­ity (Univ. Stras­bourg, 1979/1980), vol. XV. Lec­ture Notes in Math. 850. Spring­er (Ber­lin), 1981. MR 622590 Zbl 0456.​60048

[50]D. W. Stroock: “The Malliavin cal­cu­lus, a func­tion­al ana­lyt­ic ap­proach,” J. Funct. Anal. 44 : 2 (1981), pp. 212–​257. MR 642917 Zbl 0475.​60060

[51]D. W. Stroock: “The Malliavin cal­cu­lus and its ap­plic­a­tion to second or­der para­bol­ic dif­fer­en­tial equa­tions. I,” Math. Sys­tems The­ory 14 : 1 (1981), pp. 25–​65. MR 603973 Zbl 0474.​60061

[52]D. W. Stroock: Lec­tures on top­ics in stochast­ic dif­fer­en­tial equa­tions. Tata In­sti­tute of Fun­da­ment­al Re­search Lec­tures on Math­em­at­ics and Phys­ics 68. Tata In­sti­tute of Fun­da­ment­al Re­search (Bom­bay), 1982. MR 685758 Zbl 0516.​60065

[53]D. W. Stroock: “A re­sumé of some of the ap­plic­a­tions of Malliavin’s cal­cu­lus,” pp. 376–​381 in Ad­vances in fil­ter­ing and op­tim­al stochast­ic con­trol (Cocoyoc, 1982). Lec­ture Notes in Con­trol and In­form. Sci. 42. Spring­er (Ber­lin), 1982. MR 794531 Zbl 0494.​60059

[54]B. Øksend­al and D. W. Stroock: “A char­ac­ter­iz­a­tion of har­mon­ic meas­ure and Markov pro­cesses whose hit­ting dis­tri­bu­tions are pre­served by ro­ta­tions, trans­la­tions and dilata­tions,” Ann. Inst. Four­i­er (Gren­oble) 32 : 4 (1982), pp. 221–​232. MR 694135

[55]D. W. Stroock: “On the spec­trum of Markov semig­roups and the ex­ist­ence of in­vari­ant meas­ures,” pp. 286–​307 in Func­tion­al ana­lys­is in Markov pro­cesses (Kata­ta/Kyoto, 1981). Lec­ture Notes in Math. 923. Spring­er (Ber­lin), 1982. MR 661631 Zbl 0484.​60059

[56]M. F. Chen and D. W. Stroock: “\( \lambda_\pi \)-in­vari­ant meas­ures,” pp. 205–​220 in Sem­in­ar on prob­ab­il­ity, vol. XVII. Lec­ture Notes in Math. 986. Spring­er (Ber­lin), 1983. MR 770413 Zbl 0508.​60062

[57]D. W. Stroock: “Some ap­plic­a­tions of stochast­ic cal­cu­lus to par­tial dif­fer­en­tial equa­tions,” pp. 267–​382 in El­ev­enth Saint Flour prob­ab­il­ity sum­mer school, 1981 (Saint Flour, 1981). Lec­ture Notes in Math. 976. Spring­er (Ber­lin), 1983. MR 722984 Zbl 0494.​60060

[58]D. W. Stroock: An in­tro­duc­tion to the the­ory of large de­vi­ations. Uni­versitext. Spring­er (New York), 1984. MR 755154 Zbl 0552.​60022

[59]G. Ben Arous, S. Kusuoka, and D. W. Stroock: “The Pois­son ker­nel for cer­tain de­gen­er­ate el­lipt­ic op­er­at­ors,” J. Funct. Anal. 56 : 2 (1984), pp. 171–​209. MR 738578 Zbl 0556.​35036

[60]D. W. Stroock: “Stochast­ic ana­lys­is and reg­u­lar­ity prop­er­ties of cer­tain par­tial dif­fer­en­tial op­er­at­ors,” pp. 1107–​1116 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Warsaw, 1983). PWN (Warsaw), 1984. In 2 volumes. MR 804762 Zbl 0567.​60064

[61]S. Kusuoka and D. Stroock: “The par­tial Malliavin cal­cu­lus and its ap­plic­a­tion to non­lin­ear fil­ter­ing,” Stochastics 12 : 2 (1984), pp. 83–​142. MR 747781 Zbl 0567.​60046

[62]S. Kusuoka and D. Stroock: “Ap­plic­a­tions of the Malliavin cal­cu­lus. I,” pp. 271–​306 in Stochast­ic ana­lys­is (Kata­ta/Kyoto, 1982). North-Hol­land Math. Lib­rary 32. North-Hol­land (Am­s­ter­dam), 1984. MR 780762 Zbl 0546.​60056

[63]E. B. Fabes and D. W. Stroock: “The \( L^p \)-in­teg­rabil­ity of Green’s func­tions and fun­da­ment­al solu­tions for el­lipt­ic and para­bol­ic equa­tions,” Duke Math. J. 51 : 4 (1984), pp. 997–​1016. MR 771392 Zbl 0567.​35003

[64]A. Korzeniowski and D. W. Stroock: “An ex­ample in the the­ory of hy­per­con­tract­ive semig­roups,” Proc. Amer. Math. Soc. 94 : 1 (1985), pp. 87–​90. MR 781062 Zbl 0577.​47043

[65]S. Kusuoka and D. Stroock: “Ap­plic­a­tions of the Malliavin cal­cu­lus. II,” J. Fac. Sci. Univ. Tokyo Sect. IA Math. 32 : 1 (1985), pp. 1–​76. MR 783181 Zbl 0568.​60059

[66]S. Kusuoka and D. Stroock: “Some bounded­ness prop­er­ties of cer­tain sta­tion­ary dif­fu­sion semig­roups,” J. Funct. Anal. 60 : 2 (1985), pp. 243–​264. MR 777238 Zbl 0562.​60078

[67]D. W. Stroock and S. Tanigu­chi: “Reg­u­lar points for the first bound­ary value prob­lem as­so­ci­ated with de­gen­er­ate el­lipt­ic op­er­at­ors,” pp. 183–​194 in Prob­ab­il­ity the­ory and har­mon­ic ana­lys­is (Clev­e­land, Ohio, 1983). Mono­gr. Text­books Pure Ap­pl. Math. 98. Dek­ker (New York), 1986. MR 830238 Zbl 0592.​60062

[68]D. W. Stroock: “On the rate at which a ho­mo­gen­eous dif­fu­sion ap­proaches a lim­it, an ap­plic­a­tion of large de­vi­ation the­ory to cer­tain stochast­ic in­teg­rals,” Ann. Probab. 14 : 3 (1986), pp. 840–​859. MR 841587 Zbl 0604.​60076

[69]E. A. Car­len and D. W. Stroock: “An ap­plic­a­tion of the Bakry–Emery cri­terion to in­fin­ite-di­men­sion­al dif­fu­sions,” pp. 341–​348 in Sémin­aire de prob­ab­ilités, vol. XX: 1984/85. Lec­ture Notes in Math. 1204. Spring­er (Ber­lin), 1986. MR 942029 Zbl 0609.​60086

[70]M. Fukushi­ma and D. Stroock: “Re­vers­ib­il­ity of solu­tions to mar­tin­gale prob­lems,” pp. 107–​123 in Prob­ab­il­ity, stat­ist­ic­al mech­an­ics, and num­ber the­ory. Adv. Math. Sup­pl. Stud. 9. Aca­dem­ic Press (Or­lando, FL), 1986. MR 875449 Zbl 0613.​60066

[71]E. B. Fabes and D. W. Stroock: “A new proof of Moser’s para­bol­ic Har­nack in­equal­ity us­ing the old ideas of Nash,” Arch. Ra­tion­al Mech. Anal. 96 : 4 (1986), pp. 327–​338. MR 855753 Zbl 0652.​35052

[72]K. Itō: Se­lec­ted pa­pers. Edi­ted by S. R. S. Varadhan and D. W. Stroock. Spring­er (New York), 1987. With an in­tro­duc­tion by the ed­it­ors. MR 868862 Zbl 0621.​01019 book

[73]D. W. Stroock: Lec­tures on stochast­ic ana­lys­is: dif­fu­sion the­ory. Lon­don Math­em­at­ic­al So­ci­ety Stu­dent Texts 6. Cam­bridge Uni­versity Press, 1987. MR 884711 Zbl 0605.​60057

[74]R. M. Dud­ley and D. W. Stroock: “Slepi­an’s in­equal­ity and com­mut­ing semig­roups,” pp. 574–​578 in Sémin­aire de Prob­ab­ilités, vol. XXI. Lec­ture Notes in Math. 1247. Spring­er (Ber­lin), 1987. MR 942006 Zbl 0655.​47035

[75]S. Kusuoka and D. Stroock: “Ap­plic­a­tions of the Malliavin cal­cu­lus. III,” J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 : 2 (1987), pp. 391–​442. MR 914028 Zbl 0633.​60078

[76]D. W. Stroock: “A prob­ab­il­ist­ic ap­proach to find­ing es­tim­ates for the heat ker­nel as­so­ci­ated with a Hörmander form op­er­at­or,” pp. 203–​210 in Dir­ec­tions in par­tial dif­fer­en­tial equa­tions (Madis­on, WI, 1985). Publ. Math. Res. Cen­ter Univ. Wis­con­sin 54. Aca­dem­ic Press (Bo­ston, MA), 1987. MR 1013839 Zbl 0659.​35108

[77]E. A. Car­len, S. Kusuoka, and D. W. Stroock: “Up­per bounds for sym­met­ric Markov trans­ition func­tions,” Ann. Inst. H. Poin­caré Probab. Stat­ist. 23 : 2, suppl. (1987), pp. 245–​287. MR 898496 Zbl 0634.​60066

[78]R. Hol­ley and D. Stroock: “Log­ar­ithmic So­bolev in­equal­it­ies and stochast­ic Ising mod­els,” J. Stat­ist. Phys. 46 : 5–​6 (1987), pp. 1159–​1194. MR 893137 Zbl 0682.​60109

[79]D. W. Stroock: “Dif­fu­sion semig­roups cor­res­pond­ing to uni­formly el­lipt­ic di­ver­gence form op­er­at­ors,” pp. 316–​347 in Sémin­aire de prob­ab­ilités, vol. XXII. Lec­ture Notes in Math. 1321. Spring­er (Ber­lin), 1988. MR 960535 Zbl 0651.​47031

[80]R. Hol­ley and D. Stroock: “Sim­u­lated an­neal­ing via So­bolev in­equal­it­ies,” Comm. Math. Phys. 115 : 4 (1988), pp. 553–​569. MR 933455 Zbl 0643.​60092

[81]D. W. Stroock: “Malliavin cal­cu­lus and its ap­plic­a­tions to par­tial dif­fer­en­tial equa­tions,” Adv. in Math. (Beijing) 17 : 2 (1988), pp. 137–​163. MR 960936 Zbl 0713.​60067

[82]P. H. Bax­end­ale and D. W. Stroock: “Large de­vi­ations and stochast­ic flows of dif­feo­morph­isms,” Probab. The­ory Re­lated Fields 80 : 2 (1988), pp. 169–​215. MR 968817 Zbl 0638.​60035

[83]S. Kusuoka and D. Stroock: “Long time es­tim­ates for the heat ker­nel as­so­ci­ated with a uni­formly subel­lipt­ic sym­met­ric second or­der op­er­at­or,” Ann. of Math. (2) 127 : 1 (1988), pp. 165–​189. MR 924675 Zbl 0699.​35025

[84]J.-D. Deuschel and D. W. Stroock: Large de­vi­ations, re­vised edition. Pure and Ap­plied Math­em­at­ics 137. Aca­dem­ic Press (Bo­ston, MA), 1989. MR 997938 Zbl 0705.​60029

[85]R. A. Hol­ley, S. Kusuoka, and D. W. Stroock: “Asymp­tot­ics of the spec­tral gap with ap­plic­a­tions to the the­ory of sim­u­lated an­neal­ing,” J. Funct. Anal. 83 : 2 (1989), pp. 333–​347. MR 995752 Zbl 0706.​58075

[86]R. A. Hol­ley and D. W. Stroock: “Uni­form and \( L^2 \) con­ver­gence in one-di­men­sion­al stochast­ic Ising mod­els,” Comm. Math. Phys. 123 : 1 (1989), pp. 85–​93. MR 1002033 Zbl 0666.​60104

[87]J.-D. Deuschel and D. W. Stroock: “Hy­per­con­tractiv­ity and spec­tral gap of sym­met­ric dif­fu­sions with ap­plic­a­tions to the stochast­ic Ising mod­els,” J. Funct. Anal. 92 : 1 (1990), pp. 30–​48. MR 1064685 Zbl 0705.​60066

[88]D. W. Stroock: A con­cise in­tro­duc­tion to the the­ory of in­teg­ra­tion. Series in Pure Math­em­at­ics 12. World Sci­entif­ic Pub­lish­ing Co. (River Edge, NJ), 1990. MR 1141626 Zbl 0729.​28001

[89]J. R. Nor­ris and D. W. Stroock: “Es­tim­ates on the fun­da­ment­al solu­tion to heat flows with uni­formly el­lipt­ic coef­fi­cients,” Proc. Lon­don Math. Soc. (3) 62 : 2 (1991), pp. 373–​402. MR 1085646 Zbl 0694.​35075

[90]P. Di­ac­onis and D. Stroock: “Geo­met­ric bounds for ei­gen­val­ues of Markov chains,” Ann. Ap­pl. Probab. 1 : 1 (1991), pp. 36–​61. MR 1097463 Zbl 0731.​60061

[91]L. Saloff-Coste and D. W. Stroock: “Opérat­eurs uni­formément sous-el­lipt­iques sur les groupes de Lie,” J. Funct. Anal. 98 : 1 (1991), pp. 97–​121. MR 1111195 Zbl 0734.​58041

[92]H. Doss and D. W. Stroock: “Nou­veaux résul­tats con­cernant les petites per­turb­a­tions de systèmes dy­namiques,” J. Funct. Anal. 101 : 2 (1991), pp. 370–​391. MR 1136941 Zbl 0736.​60050

[93]D. W. Stroock: “Mi­croca­non­ic­al dis­tri­bu­tions for one-di­men­sion­al lat­tice gases,” pp. 190–​197 in Stochast­ic ana­lys­is and ap­plic­a­tions (Lis­bon, 1989). Pro­gr. Probab. 26. Birkhäuser (Bo­ston, MA), 1991. MR 1168076 Zbl 0756.​60100

[94]S. Kusuoka and D. W. Stroock: “Pre­cise asymp­tot­ics of cer­tain Wien­er func­tion­als,” J. Funct. Anal. 99 : 1 (1991), pp. 1–​74. MR 1120913 Zbl 0738.​60054

[95]J.-D. Deuschel, D. W. Stroock, and H. Zessin: “Mi­croca­non­ic­al dis­tri­bu­tions for lat­tice gases,” Comm. Math. Phys. 139 : 1 (1991), pp. 83–​101. MR 1116411 Zbl 0727.​60025

[96]D. W. Stroock and B. Zegarliński: “The equi­val­ence of the log­ar­ithmic So­bolev in­equal­ity and the Dobrush­in–Shlos­man mix­ing con­di­tion,” Comm. Math. Phys. 144 : 2 (1992), pp. 303–​323. MR 1152374 Zbl 0745.​60104

[97]D. W. Stroock: “Es­tim­ates on the heat ker­nel for second or­der di­ver­gence form op­er­at­ors,” pp. 29–​44 in Prob­ab­il­ity the­ory (Singa­pore, 1989). de Gruyter (Ber­lin), 1992. MR 1188709

[98]D. W. Stroock and B. Zegarliński: “The log­ar­ithmic So­bolev in­equal­ity for con­tinu­ous spin sys­tems on a lat­tice,” J. Funct. Anal. 104 : 2 (1992), pp. 299–​326. MR 1153990 Zbl 0794.​46025

[99]O. En­chev and D. W. Stroock: “An­ti­cip­at­ive dif­fu­sion and re­lated change of meas­ures,” J. Funct. Anal. 116 : 2 (1993), pp. 449–​477. MR 1239078 Zbl 0804.​60072

[100]D. W. Stroock: “Log­ar­ithmic So­bolev in­equal­it­ies for Gibbs states,” pp. 194–​228 in Di­rich­let forms (Var­enna, 1992). Lec­ture Notes in Math. 1563. Spring­er (Ber­lin), 1993. MR 1292280 Zbl 0801.​60056

[101]D. W. Stroock: Prob­ab­il­ity the­ory, an ana­lyt­ic view. Cam­bridge Uni­versity Press, 1993. MR 1267569 Zbl 0925.​60004

[102]O. En­chev and D. W. Stroock: “Rademach­er’s the­or­em for Wien­er func­tion­als,” Ann. Probab. 21 : 1 (1993), pp. 25–​33. MR 1207214 Zbl 0773.​60042

[103]E. Fabes, M. Fukushi­ma, L. Gross, C. Kenig, M. Röck­ner, and D. W. Stroock: Di­rich­let forms (Var­enna, June 8–19, 1992). Edi­ted by G. Dell’Ant­o­nio and U. Mo­sco. Lec­ture Notes in Math­em­at­ics 1563. Spring­er (Ber­lin), 1993. MR 1292274 Zbl 0810.​47035

[104]S. Aida, S. Kusuoka, and D. Stroock: “On the sup­port of Wien­er func­tion­als,” pp. 3–​34 in Asymp­tot­ic prob­lems in prob­ab­il­ity the­ory: Wien­er func­tion­als and asymp­tot­ics (Sanda/Kyoto, 1990). Pit­man Res. Notes Math. Ser. 284. Long­man Sci. Tech. (Har­low), 1993. MR 1354161 Zbl 0790.​60047

[105]G. Ben Arous, J.-D. Deuschel, and D. W. Stroock: “Pre­cise asymp­tot­ics in large de­vi­ations,” Bull. Sci. Math. 117 : 1 (1993), pp. 107–​124. MR 1205414 Zbl 0791.​60017

[106]S. Aida and D. Stroock: “Mo­ment es­tim­ates de­rived from Poin­caré and log­ar­ithmic So­bolev in­equal­it­ies,” Math. Res. Lett. 1 : 1 (1994), pp. 75–​86. MR 1258492 Zbl 0862.​60064

[107]D. Stroock and S. Tanigu­chi: “Dif­fu­sions as in­teg­ral curves, or Stra­tonovich without Itô,” pp. 333–​369 in The Dynkin Fest­s­chrift. Pro­gr. Probab. 34. Birkhäuser (Bo­ston, MA), 1994. MR 1311729 Zbl 0814.​60074

[108]D. W. Stroock: A con­cise in­tro­duc­tion to the the­ory of in­teg­ra­tion, 2nd edition. Birkhäuser (Bo­ston, MA), 1994. MR 1267228 Zbl 0826.​28001

[109]S. Kusuoka and D. W. Stroock: “Asymp­tot­ics of cer­tain Wien­er func­tion­als with de­gen­er­ate ex­trema,” Comm. Pure Ap­pl. Math. 47 : 4 (1994), pp. 477–​501. MR 1272385 Zbl 0812.​60043

[110]D. W. Stroock: “Es­tim­ates for the heat ker­nel of second or­der el­lipt­ic op­er­at­ors,” pp. 226–​235 in Non­lin­ear par­tial dif­fer­en­tial equa­tions and their ap­plic­a­tions. Collège de France Sem­in­ar (Par­is, 1991–1993), vol. XII. Pit­man Res. Notes Math. Ser. 302. Long­man Sci. Tech. (Har­low), 1994. MR 1291854 Zbl 0810.​35016

[111]Cur­rent de­vel­op­ments in math­em­at­ics, 1995 (Bo­ston, MA, 7–8 May 1995). Edi­ted by R. Bott, A. Jaffe, S.-T. Yau, M. Hop­kins, I. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1474976 Zbl 0833.​00016 book

[112]D. Jer­is­on and D. Stroock: “Norbert Wien­er,” No­tices Amer. Math. Soc. 42 : 4 (1995), pp. 430–​438. MR 1319275 Zbl 1042.​01522

[113]O. En­chev and D. W. Stroock: “To­wards a Rieman­ni­an geo­metry on the path space over a Rieman­ni­an man­i­fold,” J. Funct. Anal. 134 : 2 (1995), pp. 392–​416. MR 1363806

[114]D. W. Stroock: “An es­tim­ate on the Hes­si­an of the heat ker­nel,” pp. Exp.\ No.\ XXI, 4 in Journées “Équa­tions aux dérivées parti­elles” (Saint-Jean-de-Monts, 1995). École Poly­tech. (Pal­aiseau), 1995. MR 1360490

[115]D. Stroock and B. Zegarliński: “On the er­god­ic prop­er­ties of Glauber dy­nam­ics,” J. Stat­ist. Phys. 81 : 5–​6 (1995), pp. 1007–​1019. MR 1361304 Zbl 1081.​60562

[116]1996 Steele Prizes,” No­tices Amer. Math. Soc. 43 : 11 (1996), pp. 1340–​1347. MR 1412777 article

[117]D. W. Stroock and O. Zeitouni: “Vari­ations on a theme by Bis­mut,” pp. 291–​301 in Hom­mage à P. A. Mey­er et J. Neveu. Astérisque 236. 1996. MR 1417989 Zbl 0863.​58065

[118]O. En­chev and D. W. Stroock: “Pinned Browni­an mo­tion and its per­turb­a­tions,” Adv. Math. 119 : 2 (1996), pp. 127–​154. MR 1390796 Zbl 0853.​58111

[119]D. W. Stroock: “An es­tim­ate on the Hes­si­an of the heat ker­nel,” pp. 355–​371 in Itô’s stochast­ic cal­cu­lus and prob­ab­il­ity the­ory. Spring­er (Tokyo), 1996. MR 1439536 Zbl 0868.​58075

[120]D. Stroock and S. Tanigu­chi: “Dif­fu­sions as in­teg­ral curves on man­i­folds and Lie groups,” pp. 219–​226 in Prob­ab­il­ity the­ory and math­em­at­ic­al stat­ist­ics (St. Peters­burg, 1993). Gor­don and Breach (Am­s­ter­dam), 1996. MR 1661708 Zbl 0879.​58082

[121]P. Malliavin and D. W. Stroock: “Short time be­ha­vi­or of the heat ker­nel and its log­ar­ithmic de­riv­at­ives,” J. Dif­fer­en­tial Geom. 44 : 3 (1996), pp. 550–​570. MR 1431005

[122]D. W. Stroock: “Gaus­si­an meas­ures in tra­di­tion­al and not so tra­di­tion­al set­tings,” Bull. Amer. Math. Soc. (N.S.) 33 : 2 (1996), pp. 135–​155. MR 1362627 Zbl 0854.​60081

[123]D. Stroock: “Some thoughts about Rieman­ni­an struc­tures on path space,” Gaz. Math. 68 (1996), pp. 31–​45. MR 1395056

[124]The leg­acy of Norbert Wien­er: A centen­ni­al sym­posi­um (Mas­sachu­setts In­sti­tute of Tech­no­logy, Oc­to­ber 8–14, 1994). Edi­ted by D. Jer­is­on, I. M. Sing­er, and D. W. Stroock. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 60. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1997. MR 1460268

[125]D. W. Stroock and J. Turet­sky: “Short time be­ha­vi­or of log­ar­ithmic de­riv­at­ives of the heat ker­nel,” Asi­an J. Math. 1 : 1 (1997), pp. 17–​33. MR 1480989 Zbl 0930.​37027

[126]D. W. Stroock and W. Zheng: “Markov chain ap­prox­im­a­tions to sym­met­ric dif­fu­sions,” Ann. Inst. H. Poin­caré Probab. Stat­ist. 33 : 5 (1997), pp. 619–​649. MR 1473568 Zbl 0885.​60065

[127]D. Jer­is­on and D. W. Stroock: “Norbert Wien­er,” pp. 3–​19 in The leg­acy of Norbert Wien­er: A centen­ni­al sym­posi­um (Cam­bridge, MA, 1994). Proc. Sym­pos. Pure Math. 60. Amer. Math. Soc. (Provid­ence, RI), 1997. MR 1460269 Zbl 0884.​01027

[128]D. W. Stroock and J. Turet­sky: “Up­per bounds on de­riv­at­ives of the log­ar­ithm of the heat ker­nel,” Comm. Anal. Geom. 6 : 4 (1998), pp. 669–​685. MR 1664888 Zbl 0928.​58031

[129]D. W. Stroock: “Non-di­ver­gence form op­er­at­ors and vari­ations on Yau’s ex­plo­sion cri­terion,” J. Four­i­er Anal. Ap­pl. 4 : 4–​5 (1998), pp. 565–​574. MR 1658648 Zbl 1101.​58304

[130]Cur­rent de­vel­op­ments in math­em­at­ics, 1998 (Cam­bridge, MA, 1998). Edi­ted by B. Mazur, W. Schmid, S.-T. Yau, D. Jer­is­on, I. M. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Somerville, MA), 1999. MR 1772320 Zbl 0963.​00022 book

[131]Cur­rent de­vel­op­ments in math­em­at­ics, 1999 (Cam­bridge, MA, 1999). Edi­ted by B. Mazur, W. Schmid, S.-T. Yau, D. Jer­is­on, I. M. Sing­er, and D. Stroock. In­ter­na­tion­al Press (Somerville, MA), 1999. MR 1990245 Zbl 1051.​00008 book

[132]D. W. Stroock: A con­cise in­tro­duc­tion to the the­ory of in­teg­ra­tion, 3rd edition. Birkhäuser (Bo­ston, MA), 1999. MR 1658777 Zbl 0912.​28001

[133]D. W. Stroock: “An in­tro­duc­tion to ana­lys­is on path space,” pp. 227–​276 in Prob­ab­il­ity the­ory and ap­plic­a­tions (Prin­ceton, NJ, 1996). IAS/Park City Math. Ser. 6. Amer. Math. Soc. (Provid­ence, RI), 1999. MR 1678310 Zbl 1069.​58502

[134]D. W. Stroock: “Do­ing ana­lys­is by toss­ing a coin,” Math. In­tel­li­gen­cer 22 : 2 (2000), pp. 66–​72. MR 1764269 Zbl 1052.​60500

[135]Z. M. Ahmed and D. W. Stroock: “A Hodge the­ory for some non-com­pact man­i­folds,” J. Dif­fer­en­tial Geom. 54 : 1 (2000), pp. 177–​225. MR 1815415 Zbl 1073.​58001

[136]D. W. Stroock: An in­tro­duc­tion to the ana­lys­is of paths on a Rieman­ni­an man­i­fold. Math­em­at­ic­al Sur­veys and Mono­graphs 74. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2000. MR 1715265 Zbl 0942.​58001

[137]D. W. Stroock: “Prob­ab­il­ity the­ory—a some­what nar­row per­spect­ive,” pp. 1105–​1113 in Math­em­at­ics un­lim­ited—2001 and bey­ond. Spring­er (Ber­lin), 2001. MR 1852206 Zbl 1005.​60071

[138]V. S. Varada­ra­jan: “Some math­em­at­ic­al re­min­is­cences,” pp. v–​xviii in Spe­cial is­sue ded­ic­ated to Daniel W. Stroock and Srinivasa S. R. Varadhan on the oc­ca­sion of their 60th birth­day, published as Meth­ods Ap­pl. Anal. 9 : 3 (2002). MR 2023128 Zbl 1071.​01523 incollection

[139]Spe­cial is­sue ded­ic­ated to Daniel W. Stroock and Srinivasa S. R. Varadhan on the oc­ca­sion of their 60th birth­day, published as Meth­ods Ap­pl. Anal. 9 : 3. In­ter­na­tion­al Press (Somerville, MA), 2002. MR 2023127 book

[140]I. Rosu and D. Stroock: “On the de­riv­a­tion of the Black–Scholes for­mula,” pp. 399–​414 in Sémin­aire de Prob­ab­ilités XXXVII. Lec­ture Notes in Math. 1832. Spring­er (Ber­lin), 2003. MR 2053057 Zbl 1062.​91039

[141]J. Rosen­blatt, D. Stroock, and M. Taylor: “Group ac­tions and sin­gu­lar mar­tin­gales,” Er­god­ic The­ory Dy­nam. Sys­tems 23 : 1 (2003), pp. 293–​305. MR 1971207 Zbl 1036.​60037

[142]D. W. Stroock: “Some com­ments about Itô’s con­struc­tion pro­ced­ure,” pp. 319–​331 in Stochast­ic ana­lys­is and re­lated top­ics in Kyoto. Adv. Stud. Pure Math. 41. Math. Soc. Ja­pan (Tokyo), 2004. MR 2083717 Zbl 1062.​60073

[143]D. W. Stroock: “Browni­an mo­tion on a sub­man­i­fold,” Comm. Anal. Geom. 12 : 1–​2 (2004), pp. 165–​182. MR 2074875 Zbl 1066.​58018

[144]R. Neel and D. Stroock: “Ana­lys­is of the cut locus via the heat ker­nel,” pp. 337–​349 in Sur­veys in dif­fer­en­tial geo­metry. Surv. Dif­fer. Geom. IX. Int. Press (Somerville, MA), 2004. MR 2195412 Zbl 1081.​58013

[145]D. W. Stroock and D. Wil­li­ams: “A simple PDE and Wien­er–Hopf Ric­cati equa­tions,” Comm. Pure Ap­pl. Math. 58 : 8 (2005), pp. 1116–​1148. MR 2143528 Zbl 1082.​35173

[146]D. W. Stroock: An in­tro­duc­tion to Markov pro­cesses. Gradu­ate Texts in Math­em­at­ics 230. Spring­er (Ber­lin), 2005. MR 2126069 Zbl 1068.​60003

[147]D. W. Stroock and S. R. S. Varadhan: Mul­ti­di­men­sion­al dif­fu­sion pro­cesses, Re­print edition. Clas­sics in Math­em­at­ics 233. Spring­er (Ber­lin), 2006. MR 2190038 Zbl 1103.​60005 book

[148]P. Friz, T. Ly­ons, and D. Stroock: “Lévy’s area un­der con­di­tion­ing,” Ann. Inst. H. Poin­caré Probab. Stat­ist. 42 : 1 (2006), pp. 89–​101. MR 2196973 Zbl 1099.​60054

[149]D. W. Stroock and D. Wil­li­ams: “Fur­ther study of a simple PDE,” Illinois J. Math. 50 : 1–​4 (2006), pp. 961–​989. MR 2247850 Zbl 1102.​35004

[150]D. W. Stroock: “A re­mark­ably in­ter­est­ing, simple P.D.E,” pp. 327–​331 in Ap­prox­im­a­tion and prob­ab­il­ity. Banach Cen­ter Publ. 72. Pol­ish Acad. Sci. (Warsaw), 2006. MR 2325754

[151]H. Pang and D. W. Stroock: “A pe­cu­li­ar two point bound­ary value prob­lem,” Ann. Probab. 35 : 5 (2007), pp. 1623–​1641. MR 2349570 Zbl 1208.​60079

[152]D. W. Stroock: “Study of simple but chal­len­ging dif­fu­sion equa­tion,” pp. 613–​621 in Stochast­ic ana­lys­is and ap­plic­a­tions. Abel Symp. 2. Spring­er (Ber­lin), 2007. MR 2397808 Zbl 1137.​35041

[153]D. W. Stroock: “Es­tim­ates for trans­ition prob­ab­il­it­ies on a com­pact man­i­fold,” J. Funct. Anal. 242 : 1 (2007), pp. 295–​303. MR 2274025 Zbl 1110.​58029

[154]D. W. Stroock: “Itô geo­metry,” Jpn. J. Math. 2 : 1 (2007), pp. 133–​135. MR 2295614 Zbl 1156.​60061

[155]H. Pang and D. W. Stroock: “A highly un­stable ini­tial value bound­ary value prob­lem,” J. Funct. Anal. 255 : 9 (2008), pp. 2579–​2605. MR 2473269 Zbl 1173.​35514

[156]D. W. Stroock: Par­tial dif­fer­en­tial equa­tions for prob­ab­il­ists. Cam­bridge Stud­ies in Ad­vanced Math­em­at­ics 112. Cam­bridge Uni­versity Press, 2008. MR 2410225 Zbl 1145.​35002

[157]D. W. Stroock: “Ab­stract Wien­er space, re­vis­ited,” Com­mun. Stoch. Anal. 2 : 1 (2008), pp. 145–​151. MR 2446996

[158]H. Brezis and D. Stroock: “Paul Malliavin and the Journ­al of Func­tion­al Ana­lys­is,” J. Funct. Anal. 255 : 9 (2008), pp. 2097–​2098. MR 2473251

[159]V. W. Guille­min and D. W. Stroock: “Some Riemann sums are bet­ter than oth­ers,” pp. 3–​12 in Rep­res­ent­a­tions, wave­lets, and frames. Ap­pl. Nu­mer. Har­mon. Anal. Birkhäuser (Bo­ston, MA), 2008. MR 2459310 Zbl 1173.​26307

[160]E. Kosy­gina: “‘Par­tial dif­fer­en­tial equa­tions for prob­ab­il­ists’ [book re­view,” J. Amer. Stat­ist. As­soc. 104 : 488 (2009), pp. 1722–​1723. MR 2597017

[161]D. Stroock and S. R. S. Varadhan: “The­ory of dif­fu­sion pro­cesses,” pp. 149–​191 in Stochast­ic dif­fer­en­tial equa­tions (Cor­tona, Italy, May 29–June 10, 1978). Edi­ted by J. Cec­coni. CI­ME Sum­mer Schools 77. Spring­er (Heidel­berg), 2010. MR 2830392 incollection

[162]D. W. Stroock: “Some thoughts about Segal’s er­god­ic the­or­em,” Col­loq. Math. 118 : 1 (2010), pp. 89–​105. MR 2600519 Zbl 1200.​60030

[163]L. Chen and D. W. Stroock: “The fun­da­ment­al solu­tion to the Wright–Fish­er equa­tion,” SIAM J. Math. Anal. 42 : 2 (2010), pp. 539–​567. MR 2607921 Zbl 1221.​35013

[164]A. Connes, C. Vil­lani, and D. Stroock: “The end of an era,” J. Funct. Anal. 259 : 11 (2010), pp. 2759. MR 2719272

[165]D. W. Stroock: Es­sen­tials of in­teg­ra­tion the­ory for ana­lys­is. Gradu­ate Texts in Math­em­at­ics 262. Spring­er (New York), 2011. MR 2815904 Zbl 1228.26001

[166]D. W. Stroock: “On a the­or­em of Laurent Schwartz,” C. R. Math. Acad. Sci. Par­is 349 : 1–​2 (2011), pp. 5–​6. MR 2755685 Zbl 1214.​46015

[167]D. W. Stroock, M. Yor, J.-P. Ka­hane, R. Gundy, L. Gross, and M. Vergne: “Re­mem­ber­ing Paul Malliavin,” No­tices Amer. Math. Soc. 58 : 4 (2011), pp. 568–​573. MR 2807523

[168]D. W. Stroock: Prob­ab­il­ity the­ory: An ana­lyt­ic view, 2nd edition. Cam­bridge Uni­versity Press, 2011. MR 2760872 Zbl 1223.​60001