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Donsker, M.D., Varadhan, S.R.S.: Asymptotic evaluation of Markov process expectations for large time, I. Comm. Pure Appl. Math. 28, 1–47 (1975)
Donsker, M.D., Varadhan, S.R.S.: Asymptotic evaluation of Markov process expectations for large time, II. Comm. Pure Appl. Math. 28, 279–301 (1975)
Donsker, M.D., Varadhan, S.R.S.: Asymptotics for the Wiener sausage. Comm. Pure Appl. Math. 28, 525–565 (1975)
Donsker, M.D., Varadhan, S.R.S.: On the principal eigenvalue of second-order elliptic differential operators. Comm. Pure Appl. Math. 29, 595–621 (1976)
Fukushima, M.: Dirichlet forms and Markov Processes. Amsterdam-Tokyo: North Holland-Kodansha 1980
Ôkura, H.: On the spectral distributions of certain integro-differential operators with random potential. Osaka J. Math. 16, 633–666 (1979)
Pastur, L.A.: Behavior of some Wiener integrals as t→τ and the density of states of Schrödinger equation with random potential. (In Russian). Teor. Mat. Fiz. 32, 88–95 (1977)
Rvačeva, E.L.: On domains of attraction of multi-dimensional distributions. Select. Transl. Math. Statist. and Probability 2, 183–205 (1962)
Varadhan, S.R.S.: Asymptotic probabilities and differential equations. Comm. Pure Appl. Math. 19, 261–286 (1966)
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Ôkura, H. Some limit theorems of Donsker-Varadhan type for Markov process expectations. Z. Wahrscheinlichkeitstheorie verw Gebiete 57, 419–440 (1981). https://doi.org/10.1007/BF00534833
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DOI: https://doi.org/10.1007/BF00534833