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Celebratio Mathematica

Ronald K. Getoor


Bibliography

[1]R. K. Getoor: “On semi-groups of un­boun­ded nor­mal op­er­at­ors,” Proc. Amer. Math. Soc. 7 (1956), pp. 387–​391. MR 0080273 Zbl 0071.​11502

[2]R. K. Getoor: “The shift op­er­at­or for non-sta­tion­ary stochast­ic pro­cesses,” Duke Math. J. 23 (1956), pp. 175–​187. MR 0074717 Zbl 0074.​12501

[3]R. K. Getoor: “On char­ac­ter­ist­ic func­tions of Banach space val­ued ran­dom vari­ables,” Pa­cific J. Math. 7 (1957), pp. 885–​896. MR 0088817 Zbl 0078.​31005

[4]R. K. Getoor: “Ad­dit­ive func­tion­als of a Markov pro­cess,” Pa­cific J. Math. 7 (1957), pp. 1577–​1591. MR 0094850 Zbl 0080.​34803

[5]R. K. Getoor: “An ana­logue of Mer­cer’s the­or­em,” Duke Math. J 25 (1958), pp. 615–​624. MR 0101498 Zbl 0094.​30202

[6]R. M. Blu­menth­al and R. K. Getoor: “The asymp­tot­ic dis­tri­bu­tion of the ei­gen­val­ues for a class of Markov op­er­at­ors,” Pa­cific J. Math. 9 (1959), pp. 399–​408. MR 0107298 Zbl 0086.​33901

[7]R. K. Getoor: “Markov op­er­at­ors and their as­so­ci­ated semi-groups,” Pa­cific J. Math. 9 (1959), pp. 449–​472. MR 0107297 Zbl 0086.​33804

[8]R. M. Blu­menth­al and R. K. Getoor: “Some the­or­ems on stable pro­cesses,” Trans. Amer. Math. Soc. 95 (1960), pp. 263–​273. MR 0119247 Zbl 0107.​12401

[9]R. K. Getoor: “In­fin­itely di­vis­ible prob­ab­il­it­ies on the hy­per­bol­ic plane,” Pa­cific J. Math. 11 (1961), pp. 1287–​1308. MR 0133858 Zbl 0124.​34502

[10]R. M. Blu­menth­al, R. K. Getoor, and D. B. Ray: “On the dis­tri­bu­tion of first hits for the sym­met­ric stable pro­cesses,” Trans. Amer. Math. Soc. 99 (1961), pp. 540–​554. MR 0126885 Zbl 0118.​13005

[11]R. K. Getoor: “First pas­sage times for sym­met­ric stable pro­cesses in space,” Trans. Amer. Math. Soc. 101 (1961), pp. 75–​90. MR 0137148 Zbl 0104.​11203

[12]R. M. Blu­menth­al and R. K. Getoor: “Sample func­tions of stochast­ic pro­cesses with sta­tion­ary in­de­pend­ent in­cre­ments,” J. Math. Mech. 10 (1961), pp. 493–​516. MR 0123362 Zbl 0097.​33703

[13]R. M. Blu­menth­al and R. K. Getoor: “The di­men­sion of the set of zer­os and the graph of a sym­met­ric stable pro­cess,” Illinois J. Math. 6 (1962), pp. 308–​316. MR 0138134 Zbl 0286.​60031

[14]R. M. Blu­menth­al, R. K. Getoor, and H. P. McK­ean, Jr.: “Markov pro­cesses with identic­al hit­ting dis­tri­bu­tions,” Bull. Amer. Math. Soc. 68 (1962), pp. 372–​373. MR 0148110 Zbl 0108.​30801

[15]R. M. Blu­menth­al, R. K. Getoor, and H. P. McK­ean, Jr.: “Markov pro­cesses with identic­al hit­ting dis­tri­bu­tions,” Illinois J. Math. 6 (1962), pp. 402–​420. MR 0142157 Zbl 0133.​40903

[16]R. K. Getoor: “The asymp­tot­ic dis­tri­bu­tion of the num­ber of zero-free in­ter­vals of a stable pro­cess,” Trans. Amer. Math. Soc. 106 (1963), pp. 127–​138. MR 0145596 Zbl 0114.​08401

[17]R. M. Blu­menth­al, R. K. Getoor, and H. P. McK­ean, Jr.: “A sup­ple­ment to ‘Markov pro­cesses with identic­al hit­ting dis­tri­bu­tions’,” Illinois J. Math. 7 (1963), pp. 540–​542. MR 0153049

[18]R. K. Getoor and J. W. Woll, Jr.: “Mul­ti­plic­at­ive func­tion­als of a Markov pro­cess,” Proc. Amer. Math. Soc. 15 (1964), pp. 80–​81. MR 0157403 Zbl 0212.​20301

[19]R. M. Blu­menth­al and R. K. Getoor: “A the­or­em on stop­ping times,” Ann. Math. Stat­ist 35 (1964), pp. 1348–​1350. MR 0169288 Zbl 0133.​10602

[20]R. M. Blu­menth­al and R. K. Getoor: “Loc­al times for Markov pro­cesses,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 3 (1964), pp. 50–​74. MR 0165569 Zbl 0126.​33701

[21]R. M. Blu­menth­al and R. K. Getoor: “Ad­dit­ive func­tion­als of Markov pro­cesses in du­al­ity,” Trans. Amer. Math. Soc. 112 (1964), pp. 131–​163. MR 0160269 Zbl 0133.​40904

[22]R. K. Getoor: “Ad­dit­ive func­tion­als and ex­cess­ive func­tions,” Ann. Math. Stat­ist. 36 (1965), pp. 409–​422. MR 0172335 Zbl 0138.​11401

[23]R. K. Getoor: “Some asymp­tot­ic for­mu­las in­volving ca­pa­city,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 4 (1965), pp. 248–​252. MR 0190988 Zbl 0295.​60055

[24]R. K. Getoor: “Con­tinu­ous ad­dit­ive func­tion­als of a Markov pro­cess with ap­plic­a­tions to pro­cesses with in­de­pend­ent in­cre­ments,” J. Math. Anal. Ap­pl. 13 (1966), pp. 132–​153. MR 0185663 Zbl 0138.​40901

[25]R. M. Blu­menth­al and R. G. Getoor: “Hunt pro­cesses and stand­ard pro­cesses,” pp. 13–​22 in Markov pro­cesses and po­ten­tial the­ory (Math. Res. Cen­ter, Madis­on, WI, 1967). Wiley (New York), 1967. MR 0230373 Zbl 0189.​51603

[26]R. M. Blu­menth­al and R. K. Getoor: “Ac­cess­ible ter­min­al times,” pp. 1–​8 in Proc. fifth Berke­ley Sym­pos. math. stat­ist. and prob­ab­il­ity (Berke­ley, CA, 1965/66), vol. II: Con­tri­bu­tions to Prob­ab­il­ity The­ory, 2. Univ. Cali­for­nia Press (Berke­ley, CA), 1967. MR 0212883 Zbl 0267.​60045

[27]R. K. Getoor: “Some re­marks on con­tinu­ous ad­dit­ive func­tion­als,” Ann. Math. Stat­ist 38 (1967), pp. 1655–​1660. MR 0216573 Zbl 0246.​60059

[28]R. M. Blu­menth­al and R. K. Getoor: Markov pro­cesses and po­ten­tial the­ory. Pure and Ap­plied Math­em­at­ics 29. Aca­dem­ic Press (New York), 1968. MR 0264757 Zbl 0169.​49204

[29]R. K. Getoor: “Du­al­ity of mul­ti­plic­at­ive func­tion­als,” Bull. Amer. Math. Soc. 76 : 5 (1970), pp. 1053–​1056. MR 1566565 Zbl 0234.​60088

[30]R. K. Getoor and M. Rao: “An­oth­er look at Doob’s the­or­em,” Ann. Math. Stat­ist. 41 (1970), pp. 503–​506. MR 0272058 Zbl 0217.​50402

[31]R. M. Blu­menth­al and R. K. Getoor: “Dual pro­cesses and po­ten­tial the­ory,” pp. 137–​156 in Proc. twelfth bi­en­ni­al Sem. Canad. Math. Con­gr. on time series and stochast­ic pro­cesses; con­vex­ity and com­bin­at­or­ics (Van­couver, BC, 1969). Canad. Math. Con­gr. (Montreal, Que.), 1970. MR 0273685 Zbl 0238.​60055

[32]R. K. Getoor: “Reg­u­lar­ity of ex­cess­ive func­tions,” pp. 157–​163 in Proc. twelfth bi­en­ni­al Sem. Canad. Math. Con­gr. on time series and stochast­ic pro­cesses; con­vex­ity and com­bin­at­or­ics (Van­couver, BC, 1969). Canad. Math. Con­gr. (Montreal, Que.), 1970. MR 0273687 Zbl 0273.​60056

[33]R. K. Getoor: “Some re­cent de­vel­op­ments in the the­ory of dual pro­cesses,” pp. 521–​524 in Act­es du Con­grès In­ter­na­tion­al des Mathématiciens (Nice, 1970), tome 2. Gau­th­i­er-Vil­lars (Par­is), 1971. MR 0420883 Zbl 0253.​60068

[34]R. K. Getoor: “Du­al­ity of Lévy sys­tems,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 19 (1971), pp. 257–​270. MR 0301805 Zbl 0208.​43804

[35]R. D. Duncan and R. K. Getoor: “Equi­lib­ri­um po­ten­tials and ad­dit­ive func­tion­als,” In­di­ana Univ. Math. J. 21 (1971), pp. 529–​545. MR 0288840 Zbl 0235.​60076

[36]R. K. Getoor: “Reg­u­lar­ity of ex­cess­ive func­tions, II,” Ann. Math. Stat­ist. 42 (1971), pp. 2056–​2063. MR 0300340 Zbl 0273.​60057

[37]R. K. Getoor: “Mul­ti­plic­at­ive func­tion­als of dual pro­cesses,” Ann. Inst. Four­i­er (Gren­oble) 21 : 2 (1971), pp. 43–​83. MR 0331529 Zbl 0209.​19506

[38]R. K. Getoor and P. W. Mil­lar: “Some lim­it the­or­ems for loc­al time,” Com­posi­tio Math. 25 (1972), pp. 123–​134. MR 0315796 Zbl 0265.​60075

[39]R. K. Getoor: “Ap­prox­im­a­tion of con­tinu­ous ad­dit­ive func­tion­als,” pp. 213–​223 in Pro­ceed­ings of the sixth Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Univ. Cali­for­nia, Berke­ley, 1970/1971), vol. III: Prob­ab­il­ity the­ory. Univ. Cali­for­nia Press (Berke­ley, CA), 1972. MR 0397896 Zbl 0291.​60035

[40]R. K. Getoor and M. J. Sharpe: “Con­form­al mar­tin­gales,” In­vent. Math. 16 (1972), pp. 271–​308. MR 0305473 Zbl 0268.​60048

[41]R. K. Getoor and H. Kesten: “Con­tinu­ity of loc­al times for Markov pro­cesses,” Com­posi­tio Math. 24 (1972), pp. 277–​303. MR 0310977 Zbl 0293.​60069

[42]R. K. Getoor and M. J. Sharpe: “Last exit de­com­pos­i­tions and dis­tri­bu­tions,” In­di­ana Univ. Math. J. 23 (1973), pp. 377–​404. MR 0334335 Zbl 0314.​60055

[43]R. K. Getoor and M. J. Sharpe: “Last exit times and ad­dit­ive func­tion­als,” Ann. Prob­ab­il­ity 1 (1973), pp. 550–​569. MR 0353468 Zbl 0324.​60062

[44]R. K. Getoor: “Some re­marks on a pa­per of King­man,” Ad­vances in Ap­pl. Prob­ab­il­ity 6 (1974), pp. 757–​767. MR 0415788 Zbl 0321.​60054

[45]R. K. Getoor and M. J. Sharpe: “Balay­age and mul­ti­plic­at­ive func­tion­als,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 28 (1974), pp. 139–​164. MR 0373027 Zbl 0324.​60061

[46]R. K. Getoor and M. J. Sharpe: “The Ray space of a right pro­cess,” Ann. Inst. Four­i­er (Gren­oble) 25 : 3–​4 (1975), pp. xv, 207–​233. Spe­cial is­sue: Col­lec­tion of art­icles ded­ic­ated to Mar­cel Brelot on the oc­ca­sion of his 70th birth­day. MR 0405604

[47]R. K. Getoor: Markov pro­cesses: Ray pro­cesses and right pro­cesses. Lec­ture Notes in Math­em­at­ics 440. Spring­er (Ber­lin), 1975. MR 0405598 Zbl 0299.​60051

[48]R. K. Getoor: “Comul­ti­plic­at­ive func­tion­als and the birth­ing of a Markov pro­cess,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 32 : 4 (1975), pp. 245–​259. MR 0391275 Zbl 0346.​60044

[49]R. K. Getoor: “On the con­struc­tion of ker­nels,” pp. 443–​463 in Sémin­aire de prob­ab­ilités, IX (Univ. Stras­bourg, années uni­versitaires 1973/1974 et 1974/1975), part 2. Lec­ture Notes in Math. 465. Spring­er (Ber­lin), 1975. MR 0436342 Zbl 0321.​60056

[50]R. K. Getoor: “An­oth­er lim­it the­or­em for loc­al time,” Z. Wahr­schein­lich­keit­s­the­or­ie und Verw. Ge­bi­ete 34 : 1 (1976), pp. 1–​10. MR 0397897 Zbl 0347.​60054

[51]K. L. Chung and R. K. Getoor: “The con­dens­er prob­lem,” Ann. Prob­ab­il­ity 5 : 1 (February 1977), pp. 82–​86. MR 0428480 Zbl 0381.​60064 article

[52]R. K. Getoor: “Ho­mo­gen­eous po­ten­tials,” pp. 398–​410 in Sémin­aire de prob­ab­ilités, XII (Univ. Stras­bourg, 1976/1977). Lec­ture Notes in Math. 649. Spring­er (Ber­lin), 1978. MR 520014 Zbl 0378.​60061

[53]R. K. Getoor and M. J. Sharpe: “The Markov prop­erty at co-op­tion­al times,” Z. Wahr­sch. Verw. Ge­bi­ete 48 : 2 (1979), pp. 201–​211. MR 534845 Zbl 0402.​60066

[54]R. K. Getoor and M. J. Sharpe: “Ex­cur­sions of Browni­an mo­tion and Bessel pro­cesses,” Z. Wahr­sch. Verw. Ge­bi­ete 47 : 1 (1979), pp. 83–​106. MR 521534 Zbl 0399.​60074

[55]R. K. Getoor: “The Browni­an es­cape pro­cess,” Ann. Probab. 7 : 5 (1979), pp. 864–​867. MR 542136 Zbl 0416.​60086

[56]R. K. Getoor and M. J. Sharpe: “Some ran­dom time dila­tions of a Markov pro­cess,” Math. Z. 167 : 2 (1979), pp. 187–​199. MR 534826 Zbl 0387.​60085

[57]R. K. Getoor: “Split­ting times and shift func­tion­als,” Z. Wahr­sch. Verw. Ge­bi­ete 47 : 1 (1979), pp. 69–​81. MR 521533 Zbl 0394.​60073

[58]R. K. Getoor: “Ex­cur­sions of a Markov pro­cess,” Ann. Probab. 7 : 2 (1979), pp. 244–​266. MR 525052 Zbl 0399.​60069

[59]R. K. Getoor: “Tran­si­ence and re­cur­rence of Markov pro­cesses,” pp. 397–​409 in Sem­in­ar on prob­ab­il­ity, XIV (Par­is, 1978/1979). Lec­ture Notes in Math. 784. Spring­er (Ber­lin), 1980. In French. MR 580144 Zbl 0431.​60067

[60]Sem­in­ar on stochast­ic pro­cesses, 1981 (North­west­ern Uni­versity, Evan­ston, IL, April 1981). Edi­ted by E. Çin­lar, K. L. Chung, and R. K. Getoor. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 1. Birkhäuser (Bo­ston, MA), 1981. MR 647778 Zbl 0471.​00025 book

[61]R. K. Getoor and M. J. Sharpe: “Two res­ults on dual ex­cur­sions,” pp. 31–​52 in Sem­in­ar on stochast­ic pro­cesses, 1981 (Evan­ston, IL, 1981). Pro­gr. Prob. Stat­ist. 1. Birkhäuser (Mass.), 1981. MR 647780 Zbl 0531.​60069

[62]R. K. Getoor and M. J. Sharpe: “Markov prop­er­ties of a Markov pro­cess,” Z. Wahr­sch. Verw. Ge­bi­ete 55 : 3 (1981), pp. 313–​330. MR 608025 Zbl 0451.​60067

[63]R. K. Getoor and M. J. Sharpe: “Ex­cur­sions of dual pro­cesses,” Adv. in Math. 45 : 3 (1982), pp. 259–​309. MR 673804 Zbl 0497.​60067

[64]R. K. Getoor and M. J. Sharpe: “Some re­marks on en­ergy and du­al­ity,” pp. 177–​187 in Func­tion­al ana­lys­is in Markov pro­cesses (Kata­ta/Kyoto, 1981). Lec­ture Notes in Math. 923. Spring­er (Ber­lin), 1982. MR 661623 Zbl 0483.​60070

[65]Sem­in­ar on stochast­ic pro­cesses, 1982 (North­west­ern Uni­versity, Evan­ston, IL, March 1982). Edi­ted by E. Çin­lar, K. L. Chung, and R. K. Getoor. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 5. Birkhäuser (Bo­ston, MA), 1983. MR 733662 Zbl 0516.​00023 book

[66]R. K. Getoor and J. Glover: “Markov pro­cesses with identic­al ex­cess­ive meas­ures,” Math. Z. 184 : 3 (1983), pp. 287–​300. MR 716278 Zbl 0517.​60081

[67]R. K. Getoor: “Ex­cur­sions and for­ward times,” pp. 149–​169 in Sem­in­ar on stochast­ic pro­cesses, 1982 (Evan­ston, IL, 1982). Pro­gr. Probab. Stat­ist. 5. Birkhäuser (Bo­ston, MA), 1983. MR 733669 Zbl 0523.​60063

[68]Sem­in­ar on stochast­ic pro­cesses, 1983 (Uni­versity of Flor­ida, Gaines­ville, FL, 1983). Edi­ted by E. Çin­lar, K. L. Chung, and R. K. Getoor. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 7. Birkhäuser (Bo­ston, MA), 1984. MR 902407 Zbl 0546.​00025 book

[69]R. K. Getoor and M. J. Sharpe: “Nat­ur­al­ity, stand­ard­ness, and weak du­al­ity for Markov pro­cesses,” Z. Wahr­sch. Verw. Ge­bi­ete 67 : 1 (1984), pp. 1–​62. MR 756804 Zbl 0553.​60070

[70]R. K. Getoor and J. Glover: “Riesz de­com­pos­i­tions in Markov pro­cess the­ory,” Trans. Amer. Math. Soc. 285 : 1 (1984), pp. 107–​132. MR 748833 Zbl 0547.​60076

[71]R. K. Getoor: “Ca­pa­city the­ory and weak du­al­ity,” pp. 97–​130 in Sem­in­ar on stochast­ic pro­cesses, 1983 (Gaines­ville, FL, 1983). Pro­gr. Probab. Stat­ist. 7. Birkhäuser (Bo­ston, MA), 1984. MR 902414 Zbl 0564.​60073

[72]E. B. Dynkin and R. K. Getoor: “Ad­dit­ive func­tion­als and en­trance laws,” J. Funct. Anal. 62 : 2 (1985), pp. 221–​265. MR 791848 Zbl 0574.​60082

[73]Sem­in­ar on stochast­ic pro­cesses, 1984 (North­west­ern Uni­versity, Evan­ston, IL, 1984). Edi­ted by E. Çin­lar, K. L. Chung, and R. K. Getoor. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 9. Birkhäuser (Bo­ston, MA), 1986. MR 896718 Zbl 0575.​00017 book

[74]Sem­in­ar on stochast­ic pro­cesses, 1985 (Uni­versity of Flor­ida, Gaines­ville, FL, March, 1985). Edi­ted by E. Çin­lar, K. L. Chung, R. K. Getoor, and J. Glover. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 12. Birkhäuser (Bo­ston, MA), 1986. MR 896731 Zbl 0591.​00011 book

[75]R. K. Getoor and J. Stef­fens: “Ca­pa­city the­ory without du­al­ity,” Probab. The­ory Re­lated Fields 73 : 3 (1986), pp. 415–​445. MR 859841 Zbl 0586.​60069

[76]R. K. Getoor: “Some re­marks on meas­ures as­so­ci­ated with ho­mo­gen­eous ran­dom meas­ures,” pp. 94–​107 in Sem­in­ar on stochast­ic pro­cesses, 1985 (Gaines­ville, FL, 1985). Pro­gr. Probab. Stat­ist. 12. Birkhäuser (Bo­ston, MA), 1986. MR 896738 Zbl 0604.​60070

[77]R. K. Getoor: “Some re­marks on a the­or­em of Dynkin,” pp. 86–​93 in Sem­in­ar on stochast­ic pro­cesses, 1985 (Gaines­ville, FL, 1985). Pro­gr. Probab. Stat­ist. 12. Birkhäuser (Bo­ston, MA), 1986. MR 896737 Zbl 0602.​60062

[78]Sem­in­ar on stochast­ic pro­cesses, 1986 (Uni­versity of Vir­gin­ia, Char­lottes­ville, VA, March, 1986). Edi­ted by E. Çin­lar, K. L. Chung, R. K. Getoor, and J. Glover. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 13. Birkhäuser (Bo­ston, MA), 1987. MR 902421 Zbl 0607.​00014 book

[79]R. K. Getoor and J. Glover: “Con­struct­ing Markov pro­cesses with ran­dom times of birth and death,” pp. 35–​69 in Sem­in­ar on stochast­ic pro­cesses, 1986 (Char­lottes­ville, VA, 1986). Pro­gr. Probab. Stat­ist. 13. Birkhäuser (Bo­ston, MA), 1987. MR 902426 Zbl 0621.​60075

[80]R. K. Getoor: “Meas­ures that are trans­la­tion in­vari­ant in one co­ordin­ate,” pp. 31–​34 in Sem­in­ar on stochast­ic pro­cesses, 1986 (Char­lottes­ville, VA, 1986). Pro­gr. Probab. Stat­ist. 13. Birkhäuser (Bo­ston, MA), 1987. MR 902425 Zbl 0617.​28002

[81]R. K. Getoor and J. Stef­fens: “The en­ergy func­tion­al, balay­age, and ca­pa­city,” Ann. Inst. H. Poin­caré Probab. Stat­ist. 23 : 2, suppl. (1987), pp. 321–​357. MR 898499 Zbl 0617.​60073

[82]Sem­in­ar on stochast­ic pro­cesses, 1987 (Prin­ceton Uni­versity, Prin­ceton, NJ, March 26–28, 1987). Edi­ted by E. Çin­lar, K. L. Chung, R. K. Getoor, and J. Glover. Pro­gress in Prob­ab­il­ity and Stat­ist­ics 15. Birkhäuser (Bo­ston, MA), 1988. MR 1046408 Zbl 0635.​00011 book

[83]P. J. Fitz­sim­mons and R. K. Getoor: “Re­vuz meas­ures and time changes,” Math. Z. 199 : 2 (1988), pp. 233–​256. MR 958650 Zbl 0631.​60070

[84]R. K. Getoor and J. Stef­fens: “More about ca­pa­city and ex­cess­ive meas­ures,” pp. 135–​157 in Sem­in­ar on stochast­ic pro­cesses, 1987 (Prin­ceton, NJ, 1987). Pro­gr. Probab. Stat­ist. 15. Birkhäuser (Bo­ston, MA), 1988. MR 1046414 Zbl 0649.​60081

[85]R. K. Getoor: “Killing a Markov pro­cess un­der a sta­tion­ary meas­ure in­volves cre­ation,” Ann. Probab. 16 : 2 (1988), pp. 564–​585. MR 929063 Zbl 0651.​60078

[86]P. J. Fitz­sim­mons and R. K. Getoor: “On the po­ten­tial the­ory of sym­met­ric Markov pro­cesses,” Math. Ann. 281 : 3 (1988), pp. 495–​512. MR 954155 Zbl 0627.​60067

[87]Sem­in­ar on stochast­ic pro­cesses, 1988 (Uni­versity of Flor­ida, Gaines­ville, FL, March 3–5, 1988). Edi­ted by E. Çin­lar, K. L. Chung, R. K. Getoor, and J. Glover. Pro­gress in Prob­ab­il­ity 17. Birkhäuser (Bo­ston, MA), 1989. MR 990471 Zbl 0659.​00010 book

[88]P. J. Fitz­sim­mons and R. K. Getoor: “Some for­mu­las for the en­ergy func­tion­al of a Markov pro­cess,” pp. 161–​182 in Sem­in­ar on stochast­ic pro­cesses, 1988 (Gaines­ville, FL, 1988). Pro­gr. Probab. 17. Birkhäuser (Bo­ston, MA), 1989. MR 990479 Zbl 0669.​60071

[89]Sem­in­ar on stochast­ic pro­cesses, 1989 (Uni­versity of Cali­for­nia, San Diego, CA, March 30–April 1, 1989). Edi­ted by E. Çin­lar, K. L. Chung, R. K. Getoor, P. J. Fitz­sim­mons, and R. J. Wil­li­ams. Pro­gress in Prob­ab­il­ity 18. Birkhäuser (Bo­ston, MA), 1990. MR 1042337 Zbl 0686.​00017 book

[90]P. J. Fitz­sim­mons and R. K. Getoor: “Cor­rec­tion to: ‘Some for­mu­las for the en­ergy func­tion­al of a Markov pro­cess’,” pp. 215 in Sem­in­ar on stochast­ic pro­cesses, 1989 (San Diego, CA, 1989). Pro­gr. Probab. 18. Birkhäuser (Bo­ston, MA), 1990. MR 1042351

[91]P. J. Fitz­sim­mons, R. K. Getoor, and M. J. Sharpe: “The Blu­menth­al–Getoor–McK­ean the­or­em re­vis­ited,” pp. 35–​57 in Sem­in­ar on stochast­ic pro­cesses, 1989 (San Diego, CA, 1989). Pro­gr. Probab. 18. Birkhäuser (Bo­ston, MA), 1990. MR 1042341 Zbl 0744.​60090

[92]R. K. Getoor: Ex­cess­ive meas­ures. Prob­ab­il­ity and its Ap­plic­a­tions. Birkhäuser (Bo­ston, MA), 1990. MR 1093669 Zbl 0982.​31500

[93]P. J. Fitz­sim­mons and R. K. Getoor: “A fine dom­in­a­tion prin­ciple for ex­cess­ive meas­ures,” Math. Z. 207 : 1 (1991), pp. 137–​151. MR 1106819 Zbl 0713.​60078

[94]P. J. Fitz­sim­mons and R. K. Getoor: “Lim­it the­or­ems and vari­ation prop­er­ties for frac­tion­al de­riv­at­ives of the loc­al time of a stable pro­cess,” Ann. Inst. H. Poin­caré Probab. Stat­ist. 28 : 2 (1992), pp. 311–​333. MR 1162577 Zbl 0749.​60072

[95]P. J. Fitz­sim­mons and R. K. Getoor: “Some ap­plic­a­tions of quasi-bounded­ness for ex­cess­ive meas­ures,” pp. 485–​497 in Sémin­aire de prob­ab­ilités, XXVI. Lec­ture Notes in Math. 1526. Spring­er (Ber­lin), 1992. MR 1232011 Zbl 0768.​60064

[96]P. J. Fitz­sim­mons and R. K. Getoor: “On the dis­tri­bu­tion of the Hil­bert trans­form of the loc­al time of a sym­met­ric Lévy pro­cess,” Ann. Probab. 20 : 3 (1992), pp. 1484–​1497. MR 1175273 Zbl 0767.​60071

[97]P. J. Fitz­sim­mons and R. K. Getoor: “Riesz de­com­pos­i­tions and sub­tractiv­ity for ex­cess­ive meas­ures,” Po­ten­tial Anal. 1 : 1 (1992), pp. 37–​60. MR 1245224 Zbl 1081.​60544

[98]R. K. Getoor and M. J. Sharpe: “On the arc-sine laws for Lévy pro­cesses,” J. Ap­pl. Probab. 31 : 1 (1994), pp. 76–​89. MR 1260572 Zbl 0802.​60070

[99]R. K. Getoor and M. J. Sharpe: “In­verse sub­or­din­a­tion of ex­cess­ive func­tions,” pp. 111–​131 in The Dynkin Fest­s­chrift. Pro­gr. Probab. 34. Birkhäuser (Bo­ston, MA), 1994. MR 1311714 Zbl 0813.​60071

[100]R. K. Getoor and M. J. Sharpe: “Loc­al times on rays for a class of planar Lévy pro­cesses,” J. The­or­et. Probab. 7 : 4 (1994), pp. 799–​811. MR 1295540 Zbl 0807.​60071

[101]P. J. Fitz­sim­mons and R. K. Getoor: “A weak quasi-Lindelöf prop­erty and quasi-fine sup­ports of meas­ures,” Math. Ann. 301 : 4 (1995), pp. 751–​762. MR 1326766 Zbl 0818.​60067

[102]R. K. Getoor: “Meas­ures not char­ging semi­polars and equa­tions of Schrödinger type,” Po­ten­tial Anal. 4 : 1 (1995), pp. 79–​100. MR 1313908 Zbl 0816.​60077

[103]P. J. Fitz­sim­mons and R. K. Getoor: “Oc­cu­pa­tion time dis­tri­bu­tions for Lévy bridges and ex­cur­sions,” Stochast­ic Pro­cess. Ap­pl. 58 : 1 (1995), pp. 73–​89. MR 1341555 Zbl 0837.​60071

[104]P. J. Fitz­sim­mons and R. K. Getoor: “Smooth meas­ures and con­tinu­ous ad­dit­ive func­tion­als of right Markov pro­cesses,” pp. 31–​49 in Itô’s stochast­ic cal­cu­lus and prob­ab­il­ity the­ory. Spring­er (Tokyo), 1996. MR 1439516 Zbl 0866.​60063

[105]R. K. Getoor: “An ex­ten­ded gen­er­at­or and Schrödinger equa­tions,” Elec­tron. J. Probab. 4 (1999), pp. no. 19, 23 pp. MR 1741538

[106]R. K. Getoor: “Meas­ure per­turb­a­tions of Markovi­an semig­roups,” Po­ten­tial Anal. 11 : 2 (1999), pp. 101–​133. MR 1703827 Zbl 0945.​60062

[107]R. K. Getoor: “Finely \( \mu \)-har­mon­ic func­tions of a Markov pro­cess,” Trans. Amer. Math. Soc. 354 : 3 (2002), pp. 901–​924. MR 1867363 Zbl 0986.​60069

[108]P. J. Fitz­sim­mons and R. K. Getoor: “Ho­mo­gen­eous ran­dom meas­ures and strongly su­per­me­di­an ker­nels of a Markov pro­cess,” Elec­tron. J. Probab. 8 (2003), pp. no. 10, 55 pp. MR 1986842

[109]R. Getoor: “Gauge the­or­ems for Stieltjes ex­po­nen­tials,” pp. 91–​109 in Stochast­ic ana­lys­is and re­lated top­ics in Kyoto. Adv. Stud. Pure Math. 41. Math. Soc. Ja­pan (Tokyo), 2004. MR 2083705 Zbl 1072.​60061

[110]P. J. Fitz­sim­mons and R. K. Getoor: “Ex­cur­sion the­ory re­vis­ited,” Illinois J. Math. 50 : 1–​4 (2006), pp. 413–​437. MR 2247835 Zbl 1106.​60062

[111]R. Getoor: “J. L. Doob: Found­a­tions of stochast­ic pro­cesses and prob­ab­il­ist­ic po­ten­tial the­ory,” Ann. Probab. 37 : 5 (2009), pp. 1647–​1663. MR 2561428 Zbl 1176.​60026

[112]P. J. Fitz­sim­mons and R. K. Getoor: “Lévy sys­tems and time changes,” pp. 229–​259 in Sémin­aire de prob­ab­ilités XLII. Lec­ture Notes in Math. 1979. Spring­er (Ber­lin), 2009. MR 2599212 Zbl 1189.​60142

[113]P. J. Fitz­sim­mons and R. K. Getoor: “Po­ten­tial the­ory of mod­er­ate Markov dual pro­cesses,” Po­ten­tial Anal. 31 : 3 (2009), pp. 275–​310. MR 2545986 Zbl 1185.​60088