Zobrazeno 1 - 10
of 314
pro vyhledávání: '"Voituriez, Raphaël"'
The persistence exponent, which characterises the long-time decay of the survival probability of stochastic processes in the presence of an absorbing target, plays a key role in quantifying the dynamics of fluctuating systems. Determining this expone
Externí odkaz:
http://arxiv.org/abs/2410.18699
Autor:
Shen, Yuan, O'Byrne, Jérémy, Schoenit, Andreas, Maitra, Ananyo, Mege, Rene-Marc, Voituriez, Raphael, Ladoux, Benoit
The collective motion of epithelial cells is a fundamental biological process which plays a significant role in embryogenesis, wound healing and tumor metastasis. While it has been broadly investigated for over a decade both in vivo and in vitro, lar
Externí odkaz:
http://arxiv.org/abs/2410.17705
Flocking is a prime example of how robust collective behavior can emerge from simple interaction rules. The flocking transition has been studied extensively since the inception of the original Vicsek model. Here, we introduce a novel self-propelled p
Externí odkaz:
http://arxiv.org/abs/2409.10768
Growing experimental evidence shows that cell monolayers can induce long-lived perturbations to their environment, akin to footprints, which in turn influence the global dynamics of the system. Inspired by these observations, we propose a comprehensi
Externí odkaz:
http://arxiv.org/abs/2409.05195
Biological surfaces, such as developing epithelial tissues, exhibit in-plane polar or nematic order and can be strongly curved. Recently, integer (+1) topological defects have been identified as morphogenetic hotspots in living systems. Yet, while +1
Externí odkaz:
http://arxiv.org/abs/2406.11465
Self-interacting random walks (SIRWs) show long-range memory effects that result from the interaction of the random walker at time $t$ with the territory already visited at earlier times $t'
Externí odkaz:
http://arxiv.org/abs/2404.15853
In this chapter, we consider the problem of a non-Markovian random walker (displaying memory effects) searching for a target. We review an approach that links the first passage statistics to the properties of trajectories followed by the random walke
Externí odkaz:
http://arxiv.org/abs/2401.16161
Locally activated random walks are defined as random processes, whose dynamical parameters are modified upon visits to given activation sites. Such dynamics naturally emerge in living systems as varied as immune and cancer cells interacting with spat
Externí odkaz:
http://arxiv.org/abs/2311.10647
We investigate extreme value statistics (EVS) of general discrete time and continuous space symmetric jump processes. We first show that for unbounded jump processes, the semi-infinite propagator $G_0(x,n)$, defined as the probability for a particle
Externí odkaz:
http://arxiv.org/abs/2309.03301
First-passage properties of continuous stochastic processes confined in a 1--dimensional interval are well described. However, for jump processes (discrete random walks), the characterization of the corresponding observables remains elusive, despite
Externí odkaz:
http://arxiv.org/abs/2212.06609