Large deviations for lattice systems I. Parametrized independent fields |
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Authors: | Timo Seppäläinen |
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Institution: | (1) Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210 Columbus, OH, USA |
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Abstract: | Summary We prove large deviation theorems for empirical measures of independent random fields whose distributions depend measurably on an auxiliary parameter. This dependence respects the action of the shift group, and a large deviation principle holds whenever a certain ergodicity condition is satisfied. We also investigate the entropy functions for these processes, especially in relation to the usual relative entropy. |
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Keywords: | 60F10 60G60 |
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