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pro vyhledávání: '"Luck, Jean-Marc"'
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:
Luck, Jean-Marc
Publikováno v:
Physica A 643 (2024) 129821
This work is inspired by a recent study of a two-dimensional stochastic fragmentation model. We show that the configurational entropy of this model exhibits log-periodic oscillations as a function of the sample size, by exploiting an exact recursion
Externí odkaz:
http://arxiv.org/abs/2403.00432
Autor:
Luck, Jean-Marc
Publikováno v:
J. Phys. A 57, 225002 (2024)
A broad class of blocked or jammed configurations of particles on the one-dimensional lattice can be characterized in terms of local rules involving only the lengths of clusters of particles (occupied sites) and of holes (empty sites). Examples of ph
Externí odkaz:
http://arxiv.org/abs/2311.14393
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:
Luck, Jean-Marc, Mehta, Anita
Publikováno v:
Eur. Phys. J. B (2023) 96:19
Grammatical forms are said to evolve via two main mechanisms. These are, respectively, the `descent' mechanism, where current forms can be seen to have descended (albeit with occasional modifications) from their roots in ancient languages, and the `c
Externí odkaz:
http://arxiv.org/abs/2302.02655
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
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:
Luck, Jean-Marc
Publikováno v:
J. Stat. Mech. 013302 (2022)
We consider non-Hermitian ${\cal PT}$-symmetric tight-binding chains where gain/loss optical potentials of equal magnitudes $\pm{\rm i}\gamma$ are arbitrarily distributed over all sites. The main focus is on the threshold $\gamma_c$ beyond which ${\c
Externí odkaz:
http://arxiv.org/abs/2110.10968