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The Heckman-Opdam Markov processes
We introduce and study the natural counterpart of the Dunkl Markov processes in a negatively curved setting. We give a semimartingale decomposition of the radial part,... -
Absolute continuity of Markov chains ergodic measures by Dirichlet forms methods
We study the absolute continuity of ergodic measures of Markov chains $X_{n+1}=F(X_n,Y_{n+1})$ for the discrete case, and $dX_t=b(X_t)dt+\sigma(X_t).dW_t$ for the... -
Dirichlet forms and applications to ergodic theory of Markov chains
Using Malliavin calculus and Dirichlet forms theory we study the absolute continuity of Markov chains ergodic measures. Both discrete and continuous case are studied.... -
Properties of convergence in Dirichlet structures
In univariate settings, we prove a strong reinforcement of the energy image density criterion for local Dirichlet forms admitting square field operators. This... -
On error operators related to the arbitrary functions principle
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Drichlet forms for Poisson measures and Lévy processes : the lent particle me...
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Iteration of the lent particle method for existence of smooth densities of Po...
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The lent particle method for marked point processes
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