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Abstract: We consider diffusion processes x_{t} on the unit interval. Doob-transformation techniques consist of a selection of x_{t}-paths procedure. The law of the transformed process is the one of a...
Abstract: A fragmentation of a set $A$ is a graph with vertices labeled by subsets of $A$ which obey a certain parent-child relationship. A random fragmentation tree is a probability distribution on t...
Branching diffusion in inhomogeneous media     Branching diffusion  inhomogeneous media  Probability       font style='font-size:12px;'> 2011/8/26
Abstract: We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends...
Abstract: In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applica...
Abstract: We consider a critical branching particle system in $\R^d$, composed of individuals of a finite number of types $i\in\{1,...,K\}$. Each individual of type $i$ moves independently according t...
Abstract: 4-dimensional H4 polytopes and their dual polytopes have been constructed as the orbits of the Coxeter-Weyl group W(H4) where the group elements and the vertices of the polytopes are represe...
In this paper, we reveal the branching structure for a non-homogeneous random walk with bounded jumps. The ladder time T1, the first hitting time of [1,∞) by the walk starting from 0, could be expres...
In this paper we introduce a critical curve separating the asymptotic behavior of the moments of the symbiotic branching model,introduced by Etheridge and Fleischmann [Stochastic Process. Appl.114 (20...
Guided by the relationship between the breadth- rst walk of a rooted tree and its sequence of generation sizes, we extend the Lamperti representation of continuous-state branching processes to allow i...
Compared with classical process-based models,the functional-structural plant models provide more efficient tools to explore the impact of changes in plant structures on plant functioning.
An Age Dependent Branching Model for Macroevolution     Age Dependent Branching Model  Macroevolution       font style='font-size:12px;'> 2011/1/5
The imbalance of phylogenetic trees exhibits a systematic deviation from the expectation of a purely random tree growth process as in the Yule or ERM models. Here we introduce an age dependent growth ...
Compared with classical process-based models, the functional-structural plant models provide more efficient tools to explore the impact of changes in plant structures on plant functioning. In this pap...
The aim of this paper is two-fold. First we analyze the sequence of intensity measures of a spatial branching point process arising in a multiple target tracking context. We study its stability proper...
Poisson--Dirichlet branching random walks      Poisson--Dirichlet  random walks        font style='font-size:12px;'> 2011/1/20
We determine, to within O(1), the expected minimal position at level n in certain branching random walks. The walks under consideration have displacement vector (v1; v2; : : :) where each vj is the su...
We study generalized branching random walks, which allow time dependence and local dependence between siblings. Under appropriate tail assumptions, we prove the tightness of Fn(· −Med(Fn)), whe...

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