Eigenvalues of random wreath products.
Ein Modell des nichthomogenen Markoffschen Geburts- und Todes-Prozesses mit gesteuertem Mittelwert. I
Ein Modell des nichthomogenen Markoffschen Geburtsund Todes-Prozesses mit gesteuertem Mittelwert. II
Einstein relation for biased random walk on Galton–Watson trees
We prove the Einstein relation, relating the velocity under a small perturbation to the diffusivity in equilibrium, for certain biased random walks on Galton–Watson trees. This provides the first example where the Einstein relation is proved for motion in random media with arbitrarily slow traps.
Espérances et majorations pour un processus de branchement spatial markovien
Estimates for the expectation of the maximum of a critical Galton-Watson process on a finite interval.
Exact transient solution of a state-dependent birth-death process.
Extinction for two parabolic stochastic PDE's on the lattice
Extreme Order Statistics on Galton-Watson Trees.
Fires on trees
We consider random dynamics on the edges of a uniform Cayley tree with vertices, in which edges are either flammable, fireproof, or burnt. Every flammable edge is replaced by a fireproof edge at unit rate, while fires start at smaller rate on each flammable edge, then propagate through the neighboring flammable edges and are only stopped at fireproof edges. A vertex is called fireproof when all its adjacent edges are fireproof. We show that as , the terminal density of fireproof vertices converges...
Fixed points of the smoothing transform: the boundary case.
Fluctuation limit theorems for age-dependent critical binary branching systems
We consider an age-dependent branching particle system in ℝd, where the particles are subject to α-stable migration (0 < α ≤ 2), critical binary branching, and general (non-arithmetic) lifetimes distribution. The population starts off from a Poisson random field in ℝd with Lebesgue intensity. We prove functional central limit theorems and strong laws of large numbers under two rescalings: high particle density, and a space-time rescaling...
Fluid queues driven by a birth and death process with alternating flow rates.
Fonctionnelles additives de diffusions et de processus de branchement
Further probabilistic analysis of the Fisher–Kolmogorov–Petrovskii–Piscounov equation : one sided travelling-waves
Galton-Watson process. (Proceso de Galton-Watson.)
Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property
We encode the genealogy of a continuous-state branching process associated with a branching mechanism – or in short – using a stochastic flow of partitions. This encoding holds for all branching mechanisms and appears as a very tractable object to deal with asymptotic behaviours and convergences. In particular we study the so-called Eve property – the existence of an ancestor from which the entire population descends asymptotically – and give a necessary and sufficient condition on the for...
General branching processes conditioned on extinction are still branching processes.
Glauber dynamics of continuous particle systems
Grandes déviations, dynamique de populations et phénomènes malthusiens