Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Godrèche, Claude"'
Autor:
Godrèche, Claude, Picco, Marco
This paper investigates various geometrical properties of interfaces of the two-dimensional voter model. Despite its simplicity, the model exhibits dual characteristics, resembling both a critical system with long-range correlations, while also showi
Externí odkaz:
http://arxiv.org/abs/2405.20885
Autor:
Godrèche, Claude, Luck, Jean-Marc
Convex records have an appealing purely geometric definition. In a sequence of $d$-dimensional data points, the $n$-th point is a convex record if it lies outside the convex hull of all preceding points. We specifically focus on the bivariate (i.e.,
Externí odkaz:
http://arxiv.org/abs/2404.17309
Autor:
Godrèche, Claude, Luck, Jean-Marc
Publikováno v:
J. Stat. Phys. 191, 2 (2024)
We consider the simple random walk (or P\'olya walk) on the one-dimensional lattice subject to stochastic resetting to the origin with probability $r$ at each time step. The focus is on the joint statistics of the numbers ${\mathcal{N}}_t^{\times}$ o
Externí odkaz:
http://arxiv.org/abs/2310.03395
Autor:
Godrèche, Claude, Luck, Jean-Marc
Publikováno v:
J. Stat. Phys. 191:4 (2024)
We replicate a renewal process at random times, which is equivalent to nesting two renewal processes, or considering a renewal process subject to stochastic resetting. We investigate the consequences on the statistical properties of the model of the
Externí odkaz:
http://arxiv.org/abs/2309.06997
Autor:
Godrèche, Claude
Publikováno v:
J. Phys. A: Math. Theor. 56 (2023) 21LT01
For a stochastic process reset at random times, we discuss to what extent the probabilities of some orderings of observables associated with the intervals of time between resetting events are universal, i.e., independent of the choice of the observab
Externí odkaz:
http://arxiv.org/abs/2302.06536
Autor:
Godrèche, Claude, Luck, Jean-Marc
Publikováno v:
J. Phys. A: Math. Theor. 55 495001 (2022)
This work is devoted to an in-depth analysis of arbitrary temperature protocols applied to the ferromagnetic Glauber-Ising chain launched from a disordered initial state and evolving in the low-temperature scaling regime. We focus our study on the de
Externí odkaz:
http://arxiv.org/abs/2208.12512
A semi-Markov process is one that changes states in accordance with a Markov chain but takes a random amount of time between changes. We consider the generalisation to semi-Markov processes of the classical Lamperti law for the occupation time of a t
Externí odkaz:
http://arxiv.org/abs/2204.11228
Autor:
Godrèche, Claude, Luck, Jean-Marc
Publikováno v:
J. Stat. Mech. 073201 (2022)
We perform a thorough analysis of the survival probability of symmetric random walks with stochastic resetting, defined as the probability for the walker not to cross the origin up to time $n$. For continuous symmetric distributions of step lengths w
Externí odkaz:
http://arxiv.org/abs/2204.07392
Autor:
Godrèche, Claude, Luck, Jean-Marc
We revisit the statistics of extremes and records of symmetric random walks with stochastic resetting, extending earlier studies in several directions. We put forward a diffusive scaling regime (symmetric step length distribution with finite variance
Externí odkaz:
http://arxiv.org/abs/2203.01102
Autor:
Godrèche, Claude
Publikováno v:
J. Stat. Mech. 13203 (2022)
What is the probability that a needle dropped at random on a set of points scattered on a line segment does not fall on any of them? We compute the exact scaling expression of this hole probability when the spacings between the points are independent
Externí odkaz:
http://arxiv.org/abs/2109.11190