Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Mailler, Cecile"'
Autor:
Mailler, Cécile, Schapira, Bruno
We show the existence of a phase transition between a localisation and a non-localisation regime for a branching random walk with a catalyst at the origin. More precisely, we consider a continuous-time branching random walk that jumps at rate one, wi
Externí odkaz:
http://arxiv.org/abs/2412.11842
Autor:
Boci, Erion-Stelios, Mailler, Cécile
The monkey walk is a stochastic process defined as the trajectory of a walker that moves on $\mathbb R^d$ according to a Markovian generator, except at some random "relocation" times at which it jumps back to its position at a time sampled randomly i
Externí odkaz:
http://arxiv.org/abs/2409.02861
We investigate a disordered variant of Pitman's Chinese restaurant process where tables carry i.i.d. weights. Incoming customers choose to sit at an occupied table with a probability proportional to the product of its occupancy and its weight, or the
Externí odkaz:
http://arxiv.org/abs/2303.12623
We consider Bienaym\'e-Galton-Watson trees in random environment, where each generation $k$ is attributed a random offspring distribution $\mu_k$, and $(\mu_k)_{k\geq 0}$ is a sequence of independent and identically distributed random probability mea
Externí odkaz:
http://arxiv.org/abs/2209.11130
In this paper, we prove convergence and fluctuation results for measure-valued P\'olya processes (MVPPs, also known as P\'olya urns with infinitely-many colours). Our convergence results hold almost surely and in $L^2$, under assumptions that are dif
Externí odkaz:
http://arxiv.org/abs/2111.13571
In this paper, we study a probabilistic reinforcement-learning model for ants searching for the shortest path(s) between their nest and a source of food. In this model, the nest and the source of food are two distinguished nodes $N$ and $F$ in a fini
Externí odkaz:
http://arxiv.org/abs/2106.10559
Let $(Z_n,n\geq 0)$ be a supercritical Galton-Watson process whose offspring distribution $\mu$ has mean $\lambda>1$ and is such that $\int x(\log(x))_+ d\mu(x)<+\infty$. According to the famous Kesten \& Stigum theorem, $(Z_n/\lambda^n)$ converges a
Externí odkaz:
http://arxiv.org/abs/2106.01426
Autor:
Boci, Erion-Stelios, Mailler, Cécile
Stochastic processes with random reinforced relocations have been introduced in the physics literature to model animal foraging behaviour. Such a process evolves as a Markov process, except at random relocation times, when it chooses a time at random
Externí odkaz:
http://arxiv.org/abs/2105.02633
We study the sizes of the Voronoi cells of $k$ uniformly chosen vertices in a random split tree of size $n$. We prove that, for $n$ large, the largest of these $k$ Voronoi cells contains most of the vertices, while the sizes of the remaining ones are
Externí odkaz:
http://arxiv.org/abs/2103.09784
It is well-known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of communication other than the pheromones they leave behind them. This striking phenomenon has
Externí odkaz:
http://arxiv.org/abs/2010.04820