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There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

物理与社会 · 物理学 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

We investigate in detail two models describing how stresses propagate and fluctuate in granular media. The first one is a scalar model where only the vertical component of the stress tensor is considered. In the continuum limit, this model…

凝聚态物理 · 物理学 2009-10-30 P. Claudin , J. -P. Bouchaud , M. E. Cates , J. P. Wittmer

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

最优化与控制 · 数学 2017-03-09 Sebastian Anita , Vincenzo Capasso

An individual-based model of the infectious disease spread among the urban population is considered. A system of stochastic equations, which describes changes in quantities of four population groups, susceptible, exposed, infected…

种群与进化 · 定量生物学 2011-11-11 Vasiliy Leonenko

Different from the direct contact in epidemics spread, overload failures propagate through hidden functional dependencies. Many studies focused on the critical conditions and catastrophic consequences of cascading failures. However, to…

物理与社会 · 物理学 2015-09-16 Jichang Zhao , Daqing Li , Hillel Sanhedrai , Reuven Cohen , Shlomo Havlin

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

种群与进化 · 定量生物学 2019-08-16 Tom Britton

We focus on the modeling and simulation of an infectious disease spreading in a medium size population occupying a confined environment, such as an airport terminal, for short periods of time. Because of the size of the crowd and venue, we…

物理与社会 · 物理学 2021-07-27 Daewa Kim , Annalisa Quaini

Networks of person-person contacts form the substrate along which infectious diseases spread. Most network-based studies of the spread focus on the impact of variations in degree (the number of contacts an individual has). However, other…

定量方法 · 定量生物学 2008-12-15 Joel C. Miller

A considerable number of systems have recently been reported in which Brownian yet non-Gaussian dynamics was observed. These are processes characterised by a linear growth in time of the mean squared displacement, yet the probability…

统计力学 · 物理学 2018-11-26 V. Sposini , A. V. Chechkin , F. Seno , G. Pagnini , R. Metzler

We study the statistics of turnout rates and results of the French elections since 1992. We find that the distribution of turnout rates across towns is surprisingly stable over time. The spatial correlation of the turnout rates, or of the…

物理与社会 · 物理学 2015-05-18 Christian Borghesi , Jean-Philippe Bouchaud

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

概率论 · 数学 2015-03-17 Marc Lelarge

Goals are results of pin-point shots and it is a pivotal decision in soccer when, how and where to shoot. The main contribution of this study is two-fold. At first, after showing that there exists high spatial correlation in the data of…

应用统计 · 统计学 2021-04-08 Soudeep Deb , Debangan Dey

Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other nonlinear phenomena in complex human and natural systems. Increasing amounts…

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

机器学习 · 计算机科学 2025-09-03 Andrea Montanari

We investigate the ensemble and time averaged mean squared displacements for particle diffusion in a simple model for disordered media by assuming that the local diffusivity is both fluctuating in time and has a deterministic average growth…

统计力学 · 物理学 2016-10-05 A. G. Cherstvy , R. Metzler

The cluster distributions of different systems are examined to search for signatures of a continuous phase transition. In a system known to possess such a phase transition, both sensitive and insensitive signatures are present; while in…

核实验 · 物理学 2009-10-31 J. B. Elliott , the EOS Collaboration

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

统计力学 · 物理学 2016-12-21 Takuma Akimoto , Eiji Yamamoto

The surprisingly mercurial Covid-19 pandemic has highlighted the need to not only accelerate research on infectious disease, but to also study them using novel techniques and perspectives. A major contributor to the difficulty of containing…

种群与进化 · 定量生物学 2022-07-21 Aminur Rahman , Angela Peace , Ramesh Kesawan , Souparno Ghosh

With the exponential growth in the world population and the constant increase in human mobility, the danger of outbreaks of epidemics is rising. Especially in high density urban areas such as public transport and transfer points, where…

其他计算机科学 · 计算机科学 2012-01-04 Mei Shan , Zhou Xuan , Zhu Yifan , Zu Zhenghu , Zheng Tao , A. V. Boukhanovsky , P. M. A Sloot

The rate of adoption of new information depends on reinforcement from multiple sources in a way that often cannot be described by simple contagion processes. In such cases, contagion is said to be complex. Complex contagion happens in the…

物理与社会 · 物理学 2019-06-21 Vítor V. Vasconcelos , Simon A. Levin , Flávio L. Pinheiro