Celebratio Mathematica

S. R. Srinivasa Varadhan

Probability and statistics


Works connected to George C. Papanicolaou

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G. C. Papan­ic­ol­aou and S. R. S. Varadhan: “A lim­it the­or­em with strong mix­ing in Banach space and two ap­plic­a­tions to stochast­ic dif­fer­en­tial equa­tions,” Comm. Pure Ap­pl. Math. 26 : 4 (July 1973), pp. 497–​524. MR 0383530 Zbl 0253.​60065 article

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

G. C. Papan­ic­ol­aou and S. R. S. Varadhan: “Dif­fu­sion in re­gions with many small holes,” pp. 190–​206 in Stochast­ic dif­fer­en­tial sys­tems (Vil­ni­us, Lithuania, 28 Au­gust–2 Septem­ber, 1978). Edi­ted by B. Gri­geli­onis. Lec­ture Notes in Con­trol and In­form­a­tion Sci­ences 25. Spring­er (Ber­lin), 1980. MR 609184 Zbl 0485.​60076 incollection

G. C. Papan­ic­ol­aou and S. R. S. Varadhan: “Bound­ary value prob­lems with rap­idly os­cil­lat­ing ran­dom coef­fi­cients,” pp. 835–​873 in Ran­dom fields (Es­zter­gom, Hun­gary, 1979), vol. II. Edi­ted by J. Fritz, J. L. Le­bowitz, and D. Szász. Col­loquia math­em­at­ica So­ci­e­tatis János Bolyai 27. North-Hol­land (Am­s­ter­dam), 1981. MR 712714 Zbl 0499.​60059 incollection

G. C. Papan­ic­ol­aou and S. R. S. Varadhan: “Dif­fu­sions with ran­dom coef­fi­cients,” pp. 547–​552 in Stat­ist­ics and prob­ab­il­ity: es­says in hon­or of C. R. Rao. Edi­ted by G. Kal­li­an­pur, P. R. Krish­nai­ah, and J. K. Ghosh. North-Hol­land (Am­s­ter­dam), 1982. MR 659505 Zbl 0486.​60076 incollection

G. Papan­ic­ol­aou and S. R. S. Varadhan: “Orn­stein–Uh­len­beck pro­cess in a ran­dom po­ten­tial,” Comm. Pure Ap­pl. Math. 38 : 6 (November 1985), pp. 819–​834. MR 812349 Zbl 0617.​60078 article

M. Z. Guo, G. C. Papan­ic­ol­aou, and S. R. S. Varadhan: “Non­lin­ear dif­fu­sion lim­it for a sys­tem with nearest neigh­bor in­ter­ac­tions,” Comm. Math. Phys. 118 : 1 (1988), pp. 31–​59. MR 954674 Zbl 0652.​60107 article

J. Fritz: “On the dif­fus­ive nature of en­tropy flow in in­fin­ite sys­tems: re­marks to a pa­per: ‘Non­lin­ear dif­fu­sion lim­it for a sys­tem with nearest neigh­bor in­ter­ac­tions’ by M. Z. Guo, G. C. Papan­ic­olau and S. R. S. Varadhan,” Comm. Math. Phys. 133 : 2 (1990), pp. 331–​352. MR 1090429 article