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We study by extensive numerical simulations the dynamics of a hard-core tracer particle (TP) in presence of two competing types of disorder - frozen convection flows on a square random Manhattan lattice and a crowded dynamical environment…

无序系统与神经网络 · 物理学 2020-06-24 Carlos Mejía-Monasterio , Sergei Nechaev , Gleb Oshanin , Oleg Vasilyev

We study social behaviour of agents on capital markets when these are perturbed by small perturbations. We use the mean field method. Social behaviour of agents on capital markets is described: volatility of the market, aversion constant…

物理与社会 · 物理学 2021-08-19 Ondrej Hudak , Jana Tothova

We demonstrate that a knowledge of the density-of-states and the eigenstates of a random system without gain, in conjunction with the frequency profile of the gain, can accurately predict the mode that will lase first. Its critical pumping…

无序系统与神经网络 · 物理学 2009-11-07 Xunya Jiang , C. M. Soukoulis

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

机器学习 · 统计学 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

无序系统与神经网络 · 物理学 2009-10-30 Goutam Tripathy , Mustansir Barma

We consider a service system where agents (or, servers) are invited on-demand. Customers arrive as a Poisson process and join a customer queue. Customer service times are i.i.d. exponential. Agents' behavior is random in two respects.…

概率论 · 数学 2016-09-09 Lam Nguyen , Alexander Stolyar

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

凝聚态物理 · 物理学 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

Consider a network of $n$ single-server queues where tasks arrive independently at each server at rate $\lambda_n$. The servers are connected by a graph that is resampled at rate $\mu_n$ in a way that is symmetric with respect to the…

概率论 · 数学 2025-10-14 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

The El Farol Bar Problem is a classic computational economics problem in which agents attempt to attend a weekly event at a bar only if it is not too crowded. Each agent has access to multiple competing strategies that may be used to…

适应与自组织系统 · 物理学 2023-06-14 Rebecca E. Cohen , Juan G. Restrepo

We consider a system consisting of a planar random walk on a square lattice, submitted to stochastic elementary local deformations. Depending on the deformation transition rates, and specifically on a parameter $\eta$ which breaks the…

统计力学 · 物理学 2015-06-24 Guy Fayolle , Cyril Furtlehner

This paper investigates the stability of the power-law steady state often observed in marine ecosystems. Three dynamical systems are considered, describing the abundance of organisms as a function of body mass and time: a "jump-growth"…

种群与进化 · 定量生物学 2010-11-29 Samik Datta , Gustav W. Delius , Richard Law , Michael J. Plank

Empirical evidence shows that the rate of irregular usage of English verbs exhibits discontinuity as a function of their frequency: the most frequent verbs tend to be totally irregular. We aim to qualitatively understand the origin of this…

We construct a data-driven model of flows in graphs that captures the essential elements of the movement of workers between jobs in the companies (firms) of entire economic systems such as countries. The model is based on the observation…

物理与社会 · 物理学 2023-02-22 Eduardo López , Omar Guerrero , Robert L. Axtell

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

量子物理 · 物理学 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic…

统计力学 · 物理学 2009-11-10 Marcel Ausloos , Paulette Clippe , Janusz Miśkiewicz , Andrzej Pekalski

Agent-based models describing social interactions among individuals can help to better understand emerging macroscopic patterns in societies. One of the topics which is worth tackling is the formation of different kinds of hierarchies that…

物理与社会 · 物理学 2025-01-28 Marc Sadurní , Josep Perelló , Miquel Montero

We study random walks evolving in continuous time on a one-dimensional lattice where each site $x$ hosts a quenched random potential $U_x$. The potentials on different sites are independent, identically distributed Gaussian random…

统计力学 · 物理学 2026-02-27 Silvio Kalaj , Enzo Marinari , Gleb Oshanin , Luca Peliti

The regular or chaotic dynamics of an analytical realistic three dimensional model composed of a spherically symmetric central nucleus, a bar and a flat disk is investigated. For describing the properties of the bar we introduce a new…

星系天体物理 · 物理学 2015-11-18 Christof Jung , Euaggelos E. Zotos

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

计算机科学与博弈论 · 计算机科学 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

统计力学 · 物理学 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein
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