Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Touzo, Leo"'
We consider a periodic Riesz gas consisting of $N$ classical particles on a circle, interacting via a two-body repulsive potential which behaves locally as a power law of the distance, $\sim g/|x|^s$ for $s>-1$. Long range (LR) interactions correspon
Externí odkaz:
http://arxiv.org/abs/2411.01355
Autor:
Guéneau, Mathis, Touzo, Léo
Publikováno v:
J. Stat. Mech. (2024) 083208
We consider a generic one-dimensional stochastic process $x(t)$, or a random walk $X_n$, which describes the position of a particle evolving inside an interval $[a,b]$, with absorbing walls located at $a$ and $b$. In continuous time, $x(t)$ is driven
Externí odkaz:
http://arxiv.org/abs/2404.10537
Autor:
Guéneau, Mathis, Touzo, Léo
Publikováno v:
J. Phys. A: Math. Theor. 57 225005 (2024)
The connection between absorbing boundary conditions and hard walls is well established in the mathematical literature for a variety of stochastic models, including for instance the Brownian motion. In this paper we explore this duality for a differe
Externí odkaz:
http://arxiv.org/abs/2312.13200
Autor:
Touzo, Léo, Doussal, Pierre Le
Publikováno v:
EPL 145, 41001 (2024)
We consider N run and tumble particles in one dimension interacting via a linear 1D Coulomb potential, an active version of the rank diffusion problem. It was solved previously for N = 2 leading to a stationary bound state in the attractive case. Her
Externí odkaz:
http://arxiv.org/abs/2308.06118
Publikováno v:
Phys. Rev. E 109, 014136 (2024)
Recently, we introduced the active Dyson Brownian motion model (DBM), in which $N$ run-and-tumble particles interact via a logarithmic repulsive potential in the presence of a harmonic well. We found that in a broad range of parameters the density of
Externí odkaz:
http://arxiv.org/abs/2307.14306
Autor:
Löwe, Anika T., Touzo, Léo, Muhle-Karbe, Paul S., Saxe, Andrew M., Summerfield, Christopher, Schuck, Nicolas W.
Humans sometimes have an insight that leads to a sudden and drastic performance improvement on the task they are working on. Sudden strategy adaptations are often linked to insights, considered to be a unique aspect of human cognition tied to complex
Externí odkaz:
http://arxiv.org/abs/2302.11351
Publikováno v:
EPL 142, 61004 (2023)
We introduce and study a model in one dimension of $N$ run-and-tumble particles (RTP) which repel each other logarithmically in the presence of an external quadratic potential. This is an "active'' version of the well-known Dyson Brownian motion (DBM
Externí odkaz:
http://arxiv.org/abs/2302.02937
We investigate two stochastic models of a growing population subject to selection and mutation. In our models each individual carries a fitness which determines its mean offspring number. Many of these offspring inherit their parent's fitness, but so
Externí odkaz:
http://arxiv.org/abs/2212.02631
The Glosten-Milgrom model describes a single asset market, where informed traders interact with a market maker, in the presence of noise traders. We derive an analogy between this financial model and a Szil\'ard information engine by {\em i)} showing
Externí odkaz:
http://arxiv.org/abs/2010.01905
Publikováno v:
J. Stat. Mech. (2020) 093403
We discuss work extraction from classical information engines (e.g., Szil\'ard) with $N$-particles, $q$ partitions, and initial arbitrary non-equilibrium states. In particular, we focus on their {\em optimal} behaviour, which includes the measurement
Externí odkaz:
http://arxiv.org/abs/2006.04544