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A trajectorial interpretation of the dissipations of entropy and Fisher information for stochastic differential equations
entropy and Fisher information stochastic differential equations Probability
2011/9/13
Abstract: We introduce and develop a pathwise description of the dissipation of general convex entropies for continuous time Markov processes, based on simple backward martingales and convergence theo...
Lamplighter Random Walks and Entropy-Sensitivity of Languages
Lamplighter Random Walks Entropy-Sensitivity of Languages
2011/1/21
I declare that I have authored this thesis independently, that I have not used other than the declared sources/resources, and that I have explicitely marked all material which has been quotes either l...
Entropy Rate for Hidden Markov Chains with rare transitions
Entropy Rate for Hidden Markov Chains rare transitions
2011/1/20
We consider Hidden Markov Chains obtained by passing a Markov Chain with rare transitions through a noisy memoryless channel. We obtain asymptotic estimates for the entropy of the resulting Hidden Mar...
Approximating entropy for a class of $\zz^2$ Markov Random Fields and pressure for a class of functions on $\zz^2$ shifts of finite type
multidimensional shifts of finite type Markov random fields
2010/12/7
For a class of Z2 Markov Random Fields (MRFs) μ, we show that the sequence of successive differences of entropies of induced MRFs on strips of height n converges exponentially fast (in n) to the entro...