### Large deviations

#### Works connected to ~~Monroe D. Donsker~~

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Asymptotic evaluation of certain Markov process expectations for large time. I,” Comm. Pure Appl. Math. 28 : 1 (January 1975), pp. 1–47. MR 0386024 article

: “Erratum: ‘Asymptotics for the Wiener sausage’,” Comm. Pure Appl. Math. 28 : 5 (September 1975), pp. 677. MR 0397902 article

: “Asymptotics for the Wiener sausage,” Comm. Pure Appl. Math. 28 : 4 (July 1975), pp. 525–565. MR 0397901 article

: “Large deviations for Markov processes and the asymptotic evaluation of certain Markov process expectations for large times,” pp. 82–88 in Probabilistic methods in differential equations (Victoria, BC, August 19–20, 1974). Edited by M. A. Pinsky. Lecture Notes in Mathematics 451. Springer (Berlin), 1975. MR 0410942 incollection

: “On a variational formula for the principal eigenvalue for operators with maximum principle,” Proc. Nat. Acad. Sci. U.S.A. 72 (1975), pp. 780–783. MR 0361998 Zbl 0353.49039 article

: “On some problems of large deviations for Markov processes,” pp. 409–416, 417–418 in Proceedings of the 40th session of the International Statistical Institute (Warsaw, 1975), published as Bulletin of the International Statistical Institute 46 : 1. Héritiers Botta, 1975. MR 0488298 Zbl 0351.60036 inproceedings

: “Asymptotic evaluation of certain Wiener integrals for large time,” pp. 15–33 in Functional integration and its applications (London, April 1974). Edited by A. M. Arthurs. Clarendon Press (Oxford), 1975. MR 0486395 Zbl 0333.60078 incollection

: “Asymptotic evaluation of certain Markov process expectations for large time. III,” Comm. Pure Appl. Math. 29 : 4 (July 1976), pp. 389–461. MR 0428471 Zbl 0348.60032 article

: “On the principal eigenvalue of second-order elliptic differential operators,” Comm. Pure Appl. Math. 29 : 6 (November 1976), pp. 595–621. MR 0425380 Zbl 0356.35065 article

: “Some problems of large deviations,” pp. 313–318 (INDAM, Rome, 1975). Symposia Mathematica 21. Academic Press (London), 1977. MR 0517541 Zbl 0372.60036 incollection

: “On laws of the iterated logarithm for local times,” Comm. Pure Appl. Math. 30 : 6 (November 1977), pp. 707–753. MR 0461682 Zbl 0356.60029 article

: “On the principal eigenvalue of elliptic second order differential operators,” pp. 41–47 in Proceedings of the international symposium on stochastic differential equations (Kyoto, 1976). Edited by K. Itō. Wiley (New York), 1978. MR 536002 Zbl 0447.35030 inproceedings

: “Quelques remarques sur un article de M. D. Donsker et S. R. S. Varadhan: ‘Asymptotic evaluation of certain Markov process expectations for large time, III’,” pp. 468–481 in Séminaire de probabilités, XII (Strasbourg, 1976/1977). Edited by C. Dellacherie, P. A. Meyer, and M. Weil. Lecture Notes in Mathematics 649. Springer (Berlin), 1978. MR 520021 incollection

: “On the number of distinct sites visited by a random walk,” Comm. Pure Appl. Math. 32 : 6 (1979), pp. 721–747. MR 539157 Zbl 0418.60074 article

: “A law of the iterated logarithm for total occupation times of transient Brownian motion,” Comm. Pure Appl. Math. 33 : 3 (1980), pp. 365–393. MR 562740 Zbl 0504.60037 article

: “The polaron problem and large deviations,” Phys. Rep. 77 : 3 (November 1981), pp. 235–237. MR 639028 article

: “Some problems of large deviations,” pp. 41–46 in Stochastic differential systems (Visegrád, Hungary, September 15–20, 1980). Edited by M. Arató, D. Vermes, and A. V. Balakrishnan. Lecture Notes in Control and Information Sciences 36. Springer (Berlin), 1981. MR 653644 Zbl 0472.60028 incollection

: “Asymptotics for the polaron,” Comm. Pure Appl. Math. 36 : 4 (1983), pp. 505–528. MR 709647 Zbl 0538.60081 article

: “Large deviations for stationary Gaussian processes,” pp. 108–112 in Stochastic differential systems (Marseille-Luminy, 1984). Edited by M. Métivier and É. Pardoux. Lecture Notes in Control and Information Sciences 69. Springer (Berlin), 1985. MR 798313 Zbl 0657.60036 incollection

: “Large deviations for noninteracting infinite-particle systems,” J. Statist. Phys. 46 : 5–6 (1987), pp. 1195–1232. MR 893138 Zbl 0682.60020 article

: “Large deviations from a hydrodynamic scaling limit,” Comm. Pure Appl. Math. 42 : 3 (April 1989), pp. 243–270. MR 982350 Zbl 0780.60027 article

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