International audienceThe main purpose of this work is to study self-similar branching Markov chains. First we will construct such a process. Then we will establish certain Limit Theorems using the theory of self-similar Markov processes
In this thesis we develop some limit theorems for branching processes. In the first chapter we prese...
We establish integral tests and laws of the iterated logartihm for the upper envelope of the future ...
We consider a branching model in discrete time for structured population in varying environment. Eac...
Abstract: This note surveys some recent results on self-similar Markov processes. Since the research...
We are interested in the asymptotic behavior of Markov chains on the set of positive integers for wh...
In this paper we obtain a Lamperti type representation for real-valued self-similar Markov processes...
We study scaling limits of non-increasing Markov chains with values in the set of non-negative inte...
This paper addresses the question of predicting when a positive self-similar Markov process XX attai...
For a positive self-similar Markov process, $X$, we construct a local time for the random set, $\The...
Self-similar Markov processes often arise in various part of probability theory as limits of rescale...
This version: 09 - 02 -2005To appear in Ann. Prob., 2005Using Lamperti's relationship between Lévy p...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
In this paper we study the α-stable continuous-state branching processes (for α ∈ (1, 2]) and the la...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
Markovian growth-fragmentation processes describe a family of particles which can grow larger or sma...
In this thesis we develop some limit theorems for branching processes. In the first chapter we prese...
We establish integral tests and laws of the iterated logartihm for the upper envelope of the future ...
We consider a branching model in discrete time for structured population in varying environment. Eac...
Abstract: This note surveys some recent results on self-similar Markov processes. Since the research...
We are interested in the asymptotic behavior of Markov chains on the set of positive integers for wh...
In this paper we obtain a Lamperti type representation for real-valued self-similar Markov processes...
We study scaling limits of non-increasing Markov chains with values in the set of non-negative inte...
This paper addresses the question of predicting when a positive self-similar Markov process XX attai...
For a positive self-similar Markov process, $X$, we construct a local time for the random set, $\The...
Self-similar Markov processes often arise in various part of probability theory as limits of rescale...
This version: 09 - 02 -2005To appear in Ann. Prob., 2005Using Lamperti's relationship between Lévy p...
AbstractFractals and measures are often defined in a constructive way. In this paper, we give the co...
In this paper we study the α-stable continuous-state branching processes (for α ∈ (1, 2]) and the la...
41 pages, 2 figuresInternational audienceWe study the evolution of a particle system whose genealogy...
Markovian growth-fragmentation processes describe a family of particles which can grow larger or sma...
In this thesis we develop some limit theorems for branching processes. In the first chapter we prese...
We establish integral tests and laws of the iterated logartihm for the upper envelope of the future ...
We consider a branching model in discrete time for structured population in varying environment. Eac...
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