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We study the evolution of an initially random distribution of particles on a square lattice, under certain rules for `growing' and `culling' of particles. In one version we allow the particles to move laterally along the surface (mobile…

软凝聚态物质 · 物理学 2009-11-07 Tapati Dutta , Nikolai Lebovka , S. Tarafdar

Two-dimensional networks of ordered quantum dots beyond the percolation threshold are studied, as typical example of conducting nanostructures with quenched random disorder. Theory predicts anomalous diffusion with stretched-exponential…

统计力学 · 物理学 2016-01-06 Fabrizio Cleri

The evolution of a probe D-brane in the p-brane background has been considered. The anisotropic evolution of the world-volume of the D-brane with a given topology of a world-volume in a form of a direct product of a n-dimensional flat space…

高能物理 - 理论 · 物理学 2017-06-27 Pawel Gusin

The evolution of ants is marked by remarkable adaptations that allowed the development of very complex social systems. To identify how ant-specific adaptations are associated with patterns of molecular evolution, we searched for signs of…

种群与进化 · 定量生物学 2014-05-08 Julien Roux , Eyal Privman , Sebastien Moretti , Josephine T. Daub , Marc Robinson-Rechavi , Laurent Keller

This paper is about the study of F-transforms based on overlap and grouping maps, residual and co-residual implicator over complete lattice from both constructive and axiomatic approaches. Further, the duality, basic properties, and the…

环与代数 · 数学 2023-01-31 Abha Tripathi , S. P. Tiwari , Sutapa Mahato

Diversities are a generalization of metric spaces, where instead of the non-negative function being defined on pairs of points, it is defined on arbitrary finite sets of points. Diversities have a well-developed theory. This includes the…

度量几何 · 数学 2020-10-23 David Bryant , Raúl Felipe , Mauricio Toledo-Acosta , Paul Tupper

This paper describes work carried out on a model for the evolution of graph classes in complex objects. By defining evolution rules and propagation strategies on graph classes, we aim to define a user-definable means to manage data…

软件工程 · 计算机科学 2018-02-23 Mourad Oussalah

Evolution is a fundamental process that shapes the biological world we inhabit, and reinforcement learning is a powerful tool used in artificial intelligence to develop intelligent agents that learn from their environment. In recent years,…

神经与进化计算 · 计算机科学 2023-06-19 Taboubi Ahmed

It is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible cause''. In such a jump the system changes instantaneously…

微分几何 · 数学 2007-05-23 F. Pugliese , A. Vinogradov

We investigate an interacting particle model to simulate a foraging colony of ants, where each ant is represented as an active Brownian particle. The interactions among ants are mediated through chemotaxis, aligning their orientations with…

偏微分方程分析 · 数学 2024-09-10 Maria Bruna , Martin Burger , Oscar de Wit

Consider the following interacting particle system on the $d$-ary tree, known as the frog model: Initially, one particle is awake at the root and i.i.d. Poisson many particles are sleeping at every other vertex. Particles that are awake…

概率论 · 数学 2016-06-23 Christopher Hoffman , Tobias Johnson , Matthew Junge

The paper proposes a general notion of interaction between attributes, which can be applied to many fields in decision making and data analysis. It generalizes the notion of interaction defined for criteria modelled by capacities, by…

离散数学 · 计算机科学 2007-11-15 Michel Grabisch , Christophe Labreuche

Organisms move through the world by changing their shape, and here we explore the mapping from shape space to movements in the nematode C. elegans as it crawls on a planar agar surface. We characterize the statistics of the trajectories…

神经元与认知 · 定量生物学 2016-01-05 Greg J Stephens , Bethany Johnson-Kerner , William Bialek , William S Ryu

A tumor can be thought of as an ecosystem, which critically means that we cannot just consider it as a collection of mutated cells but more as a complex system of many interacting cellular and microenvironmental elements. At its simplest, a…

种群与进化 · 定量生物学 2013-05-03 Jill Gallaher , Alexander R. A. Anderson

We present an analytical model to investigate the mechanics of 2-dimensional lattices composed of elastic beams of non-uniform cross-section. Our approach is based on reducing a lattice to a single beam subject to the action of a set of…

软凝聚态物质 · 物理学 2016-02-22 Daniel J. Rayneau-Kirkhope , Marcelo A. Dias

We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the…

统计力学 · 物理学 2023-04-12 Luca Capizzi , Viktor Eisler

We consider the simplest identical-fermion system that exhibits the phenomenon of entanglement (beyond exchange correlations) to analyze its speed of evolution towards an orthogonal state, and revisit the relation between this latter and…

量子物理 · 物理学 2022-10-05 Sahory Canseco J. , Andrea Valdés-Hernández

A model of interacting one--dimensional fermions confined to a harmonic trap is proposed. The model is treated analytically to all orders of the coupling constant by a method analogous to that used for the Luttinger model. As a first…

量子物理 · 物理学 2009-11-06 W. Wonneberger

This study deals with the evolution of the so called 'intelligent' networks (insect society without leader, cells of an organism, brain,...) during their learning period. First we summarize briefly the Version 2 (published in French), whose…

适应与自组织系统 · 物理学 2018-10-03 Jean Piniello

We study the generation of entanglement for interacting cold atoms in an optical lattice. The entanglement is generated by managing the interaction between two distinct atomic species. It is found that the current of one of the species can…

量子气体 · 物理学 2015-06-05 L. Morales-Molina , S. A. Reyes , M. Orszag