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This work deals with systems of interacting reinforced stochastic processes, where each process $X^j=(X_{n,j})_n$ is located at a vertex $j$ of a finite weighted direct graph, and it can be interpreted as the sequence of "actions" adopted…

概率论 · 数学 2019-09-26 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

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

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · 物理学 2015-06-24 Manojit Roy , R. E. Amritkar

Stochastic reaction networks are mathematical models frequently used in, but not limited to, biochemistry. These models are continuous-time Markov chains whose transition rates depend on certain parameters called rate constants, which…

概率论 · 数学 2025-08-14 Daniele Cappelletti , Aidan Howells , Chuang Xu

We use generative agents powered by large language models (LLMs) to simulate a social network in a shared residential building, driving the temperature decisions for a central heating system. Agents, divided into Family Members and…

社会与信息网络 · 计算机科学 2025-07-15 Ann Nedime Nese Rende , Tolga Yilmaz , Özgür Ulusoy

We simulate the transition from amplified spontaneous emission (ASE) to lasing in random systems with varying degrees of mode overlap. This is accomplished by solving the stochastic Maxwell-Bloch equations with the finite-difference…

光学 · 物理学 2010-12-30 Jonathan Andreasen , Hui Cao

Relaxation in the time correlation between operators is studied. Quantized chaotic systems are shown to have distinct relaxation fluctuations that are universal and can be usefully modelled by Random Matrix Theory. Various quantized maps…

chao-dyn · 物理学 2007-05-23 Arul Lakshminarayan

During the last decade, the applications of signal processing have drastically improved with deep learning. However areas of affecting computing such as emotional speech synthesis or emotion recognition from spoken language remains…

音频与语音处理 · 电气工程与系统科学 2018-06-04 Noé Tits , Kevin El Haddad , Thierry Dutoit

We investigate an averaging process that describes how interacting agents approach consensus through binary interactions. In each elementary step, two agents are selected at random and they reach compromise by adopting their opinion…

统计力学 · 物理学 2021-11-23 E. Ben-Naim , P. L. Krapivsky

Small language models (SLM) are increasingly used as interactive decision-making agents, yet most decision-oriented evaluations ignore emotion as a causal factor influencing behavior. We study emotion-sensitive decision making by combining…

人工智能 · 计算机科学 2026-04-09 Jiaju Lin , Xingjian Du , Qingyun Wu , Ellen Wenting Zou , Jindong Wang

We propose a stochastic model describing a process of awareness, evaluation and decision-making by agents on the d-dimensional integer lattice. Each agent may be in any of the three states belonging to the set {0, 1, 2}. In this model 0…

We propose a model of multiagent systems whose agents have a tendency to balance their decisions in time. We find phase transitions to oscillatory behavior, explainable by the aggregation of agents into two groups. On a longer time scale,…

物理与社会 · 物理学 2009-11-11 C. H. Yeung , K. Y. Michael Wong

We study the role of scale-free structure and noise in collective dynamics of neuronal networks. For this purpose, we simulate and study analytically a cortical circuit model with stochastic neurons. We compare collective neuronal activity…

无序系统与神经网络 · 物理学 2013-03-27 D. Holstein , A. V. Goltsev , J. F. F. Mendes

With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work,…

物理与社会 · 物理学 2023-11-23 Roni Muslim , Rinto Anugraha NQZ , Muhammad Ardhi Khalif

In recent years, the study of coupled excitable oscillators has largely benefited from a new analytical technique developed by Ott and Antonsen. This technique allows to express the dynamics of certain macroscopic observable in the ensemble…

适应与自组织系统 · 物理学 2019-02-19 Gonzalo Uribarri , Gabriel B. Mindlin

To analyze the crucial role of fluctuation and relaxation effects for the function of the human brain we studied some statistical quantifiers that support the information characteristics of neuromagnetic brain responses…

Converging research suggests that the resting brain operates at the cusp of dynamic instability signified by scale-free temporal correlations. We asked if the scaling properties of these correlations differ between amplitude and phase…

神经元与认知 · 定量生物学 2015-12-09 Robert Ton , Gustavo Deco , Morten L Kringelbach , Mark Woolrich , Andreas Daffertshofer

High frequency psychophysiological data create a challenge for quantitative modeling based on Big Data tools since they reflect the complexity of processes taking place in human body and its responses to external events. Here we present…

神经元与认知 · 定量生物学 2016-06-29 Jan Chołoniewski , Anna Chmiel , Julian Sienkiewicz , Janusz Hołyst , Dennis Küster , Arvid Kappas

In this paper we study a novel model of opinion dynamics in social networks, which has two main features. First, agents asynchronously interact in pairs, and these pairs are chosen according to a random process. We refer to this…

系统与控制 · 计算机科学 2013-04-09 Paolo Frasca , Chiara Ravazzi , Roberto Tempo , Hideaki Ishii

In traditional models of opinion dynamics, each agent in a network has an opinion and changes in opinions arise from pairwise (i.e., dyadic) interactions between agents. However, in many situations, groups of individuals possess a…

物理与社会 · 物理学 2025-04-15 Corbit R. Sampson , Juan G. Restrepo , Mason A. Porter