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We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and mobility, the feasibility of an individual to change their position in the income distribution.…

综合经济学 · 经济学 2022-04-27 Viktor Stojkoski , Petar Jolakoski , Arnab Pal , Trifce Sandev , Ljupco Kocarev , Ralf Metzler

We present a stochastic approach to modeling the dynamics of coexistence of prey and predator populations. It is assumed that the space of coexistence is explicitly subdivided in a grid of cells. Each cell can be occupied by only one…

种群与进化 · 定量生物学 2015-06-26 Kelly C. de Carvalho , Tania Tome

Populations exhibiting partial migration consist of two groups of individuals: Those that mi- grate between habitats, and those that remain fixed in a single habitat. We propose several discrete-time population models to investigate the…

动力系统 · 数学 2016-10-31 Anushaya Mohapatra , Haley A. Ohms , David A. Lytle , Patrick De Leenheer

The influence of migration on the stochastic dynamics of subdivided populations is still an open issue in various evolutionary models. We develop here a self-consistent mean-field-like method in order to determine the effects of migration…

统计力学 · 物理学 2014-04-10 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

Motivated by the study of social insects, we introduce a stochastic model based on interacting particle systems in order to understand the effect of communication on the division of labor. Members of the colony are located on the vertex set…

概率论 · 数学 2016-01-07 Alesandro Arcuri , Nicolas Lanchier

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

综合经济学 · 经济学 2020-02-20 Simone Righi , Yuri Biondi

The mean-field dynamics of a collection of stochastic agents with local versus nonlocal interactions is studied via analytically soluble models. The nonlocal interactions result from a barycentric modulation of the observation range of the…

适应与自组织系统 · 物理学 2012-06-01 Max-Olivier Hongler , Roger Filliger , Olivier Gallay

We propose a model to show the self-assembling of network-like structures between a set of nodes without using preexisting positional information or long-range attraction of the nodes. The model is based on Brownian agents that are capable…

统计力学 · 物理学 2009-11-07 Frank Schweitzer , Benno Tilch

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

统计力学 · 物理学 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

An innovative extension of Geometric Brownian Motion model is developed by incorporating a weighting factor and a stochastic function modelled as a mixture of power and trigonometric functions. Simulations based on this Modified Brownian…

证券定价 · 定量金融 2015-07-09 Gurjeet Dhesi , Muhammad Bilal Shakeel , Ling Xiao

Systems of independent active particles embedded into a fluctuating environment are relevant to many areas of soft-matter science. We use a minimal model of noninteracting spin-carrying Brownian particles in a Gaussian field and show that…

软凝聚态物质 · 物理学 2018-07-18 Ruben Zakine , Jean-Baptiste Fournier , Frédéric Van Wijland

Using Brownian dynamics simulations, the motion of active Brownian particles (ABPs) in the presence of fuel (or 'food') sources is studied. It is an established fact that within confined stationary systems, the activity of ABPs generates…

生物物理 · 物理学 2020-07-01 Holger Merlitz , Hidde Derk Vuijk , Rene Wittmann , Abhinav Sharma , Jens-Uwe Sommer

The emergence of labor division in multi-agent system is analyzed by the method of statistical physics. Considering a system consists of N homogeneous agents. Their behaviors are determined by the returns from their production. Using the…

统计力学 · 物理学 2009-11-07 Jinshan Wu , Zengru Di , Z. R. Yang

This paper studies the extent to which the cyclicality of occupational mobility shapes that of aggregate unemployment and its duration distribution. We document the relation between workers' occupational mobility and unemployment duration…

综合经济学 · 经济学 2023-04-04 Carlos Carrillo-Tudela , Ludo Visschers

In this work, we study the dynamics of a single active Brownian particle, as well as the collective behavior of interacting active Brownian particles, in a fluctuating heterogeneous environment. We employ a variant of the diffusing…

软凝聚态物质 · 物理学 2022-01-05 S. M. J. Khadem , N. H. Siboni , S. H. L. Klapp

Many real-world processes can naturally be modeled as systems of interacting agents. However, the long-term simulation of such agent-based models is often intractable when the system becomes too large. In this paper, starting from a…

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

软凝聚态物质 · 物理学 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

物理与社会 · 物理学 2021-08-24 John C. Stevenson

In this paper we focus on spatial Markov population models, describing the stochastic evolution of populations of agents, explicitly modelling their spatial distribution, representing space as a discrete, finite graph. More specifically, we…

多智能体系统 · 计算机科学 2016-10-27 Luca Bortolussi , Cheng Feng

The Harris-Todaro model of the rural-urban migration process is revisited under an agent-based approach. The migration of the workers is interpreted as a process of social learning by imitation, formalized by a computational model. By…

物理与社会 · 物理学 2015-06-26 Aquino L. Espindola , Jaylson J. Silveira , T. J. P. Penna