On large deviations for small noise Itô processesReport as inadecuate



 On large deviations for small noise Itô processes


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The large deviation principle in the small noise limit is derived for solutions of possibly degenerate It\^o stochastic differential equations with predictable coefficients, which may depend also on the large deviation parameter. The result is established under mild assumptions using the Dupuis-Ellis weak convergence approach. Applications to certain systems with memory and to positive diffusions with square-root-like dispersion coefficient are included.



Author: Alberto Chiarini; Markus Fischer

Source: https://archive.org/



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