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most citedLarge deviations of the empirical measures of a strong-Feller Markov process inside a subset and quasi-ergodic distribution

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math.PR2024★ 1 cited

Large deviations of the empirical measures of a strong-Feller Markov process inside a subset and quasi-ergodic distribution

Arnaud Guillin, Boris Nectoux, Liming Wu

In this work, we establish, for a strong Feller process, the large deviation principle for the occupation measure conditioned not to exit a given subregion. The rate function vanis…

math.PR2024

Long time behavior of killed Feynman-Kac semigroups with singular Schr{ö}dinger potentials

Arnaud Guillin, D I Lu, Boris Nectoux +1

In this work, we investigate the compactness and the long time behavior of killed Feynman-Kac semigroups of various processes arising from statistical physics with very general sin…