We propose a systematic method to derive the asymptotic behaviour of the persistence distribution, for a large class of stochastic processes described by a general Fokker-Planck equation in one dimension. Theoretical predictions are compared to simple solvable systems and to numerical calculations. The very good agreement attests the validity of this approach
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment...
Persistent diffusion in one dimension, in which the velocity of the diffusing particle is a dichotom...
For many stochastic processes, the probability S(t) of not-having reached a target in unbounded spac...
In this thesis, the persistence problem in the context of Markov chains is studied. We are mainly co...
Lower bounds for persistence probabilities of stationary Gaussian processes in discrete time are obt...
We establish an exact formula relating the survival probability for certain Lévy flights (viz. asymm...
We study the persistence probability for some discrete-time, time-reversible processes. In particula...
International audienceIn this paper we consider the persistence properties of random processes in Br...
International audiencePersistence, defined as the probability that a signal has not reached a thresh...
We study the distribution of residence time or equivalently that of "mean magnetization" for a famil...
Persistence, defined as the probability that a fluctuating signal has not reached a threshold up to ...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
Using the theory of Markovian diffusion processes it is established that a non-linear Fokker-Planck ...
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment...
Persistent diffusion in one dimension, in which the velocity of the diffusing particle is a dichotom...
For many stochastic processes, the probability S(t) of not-having reached a target in unbounded spac...
In this thesis, the persistence problem in the context of Markov chains is studied. We are mainly co...
Lower bounds for persistence probabilities of stationary Gaussian processes in discrete time are obt...
We establish an exact formula relating the survival probability for certain Lévy flights (viz. asymm...
We study the persistence probability for some discrete-time, time-reversible processes. In particula...
International audienceIn this paper we consider the persistence properties of random processes in Br...
International audiencePersistence, defined as the probability that a signal has not reached a thresh...
We study the distribution of residence time or equivalently that of "mean magnetization" for a famil...
Persistence, defined as the probability that a fluctuating signal has not reached a threshold up to ...
Restricted Access. An open-access version is available at arXiv.org (one of the alternative location...
Using the theory of Markovian diffusion processes it is established that a non-linear Fokker-Planck ...
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment...
Persistent diffusion in one dimension, in which the velocity of the diffusing particle is a dichotom...
For many stochastic processes, the probability S(t) of not-having reached a target in unbounded spac...