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4 papers · 2 filters
Approximation of quasi-stationary distributions for 1-dimensional killed diffusions with unbounded drifts
Denis Villemonais
The long time behavior of an absorbed Markov process is well described by the limiting distribution of the process conditioned to not be killed when it is observed. Our aim is to g…
Convergence of the structure function of a Multifractal Random Walk in a mixed asymptotic setting
Laurent Duvernet
Some asymptotic properties of a Brownian motion in multifractal time, also called multifractal random walk, are established. We show the almost sure and convergence of its st…
Quasi-stationary distributions for structured birth and death processes with mutations
Pierre Collet, Servet Martinez, Sylvie Méléard +1
We study the probabilistic evolution of a birth and death continuous time measure-valued process with mutations and ecological interactions. The individuals are characterized by (p…
Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities
Arnaud Guillin, Christian Leonard, Feng-Yu Wang +1
We continue our investigation on the transportation-information inequalities for a symmetric markov process, introduced and studied in \cite{GLWY}. We prove that impl…