Large deviations for Poisson systems of independent random walks |
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| Authors: | J Theodore Cox David Griffeath |
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| Institution: | (1) Mathematics Department, Syracuse University, 13210 Syracuse, NY, USA;(2) Mathematics Department, University of Wisconsin, 53706 Madison, WI, USA |
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| Abstract: | Summary We prove large deviation theorems for occupation time functionals of independent random walks started from a Poisson field on Z
d. In dimensions 1 and 2 the large deviation tails are larger than exponential. Exact asymptotics are derived.Partially supported by the National Science Foundation under Grant MCS 81-02131 and MCS 81-00256Alfred P. Sloan Research Fellow |
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