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Dendrites with developed sidebranches are numerically studied with a coupled map lattice model. The competitive dynamics among sidebranches determines the shape of the envelope. The envelope has a parabolic shape near the tip of the…

斑图形成与孤子 · 物理学 2009-11-10 H. Sakaguchi , M. Ohtaki

We measure the evolution of the galaxy Luminosity Function as a function of large-scale environment up to z=1.5 from the VIMOS-VLT Deep Survey (VVDS) first epoch data. The 3D galaxy density field is reconstructed using a sample of 6582…

We consider particles on a one-dimensional lattice whose evolution is governed by nearest-neighbor interactions where particles that have reached size zero are removed from the system. Concentrating on configurations with infinitely many…

偏微分方程分析 · 数学 2016-10-20 Michael Helmers , Barbara Niethammer , Juan J. L. Velazquez

This paper presents a high-level conceptual framework to help orient the discussion and implementation of open-endedness in evolutionary systems. Drawing upon earlier work by Banzhaf et al., three different kinds of open-endedness are…

神经与进化计算 · 计算机科学 2019-02-22 Tim Taylor

The lattice spin model, with nearest neighbor ferromagnetic exchange and long range dipolar interaction, is studied by the method of time series for observables based on cluster configurations and associated partitions, such as Shannon…

无序系统与神经网络 · 物理学 2009-11-10 M. Casartelli , L. Dall'Asta , E. Rastelli , S. Regina

We describe a 3D percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Lattice sites are designated as regular (healthy) cells, senescent…

统计力学 · 物理学 2016-07-12 Vyacheslav Gorshkov , Vladimir Privman , Sergiy Libert

This chapter is devoted to the analysis of jamming and percolation behavior of two-dimensional systems of elongated particles. We consider both continuous and discrete spaces (with the special attention to the square lattice), as well the…

无序系统与神经网络 · 物理学 2020-06-26 Nikolai I. Lebovka , Yuri Yu. Tarasevich

In this review I outline some ideas in chemical evolution, necessary for understanding the evolution of galaxies from measured elemental abundance ratios. I then discuss abundance results from studies of Local Group dwarf galaxies and the…

星系天体物理 · 物理学 2010-11-24 Andrew McWilliam

In this paper we postulate an algebraic model to explain how the symmetry of three lepton species plays its role in the Lorentz extension. Inspired by the two-to-one mapping between the group SL (2, C) and the Lorentz group, we design a…

高能物理 - 唯象学 · 物理学 2013-04-16 Hai-Jhun Wanng

We prove several rigorous results about the asymptotic behaviour of the numbers of tadpoles (or lassos) embedded in a lattice, including cases where the head is subject to a constraint like being unknotted, or where the tail pierces the…

统计力学 · 物理学 2026-05-25 S G Whittington

Motivated by recent experiments on objects moved vertically through a bed a glass beads, a simple model to study granular drag is proposed. The model consists of dimers on a slanted two-dimensional lattice through which objects are dragged…

软凝聚态物质 · 物理学 2007-05-23 Tomasz M. Kott , Stefan Boettcher

We introduce the notion of evolution on sets and study several sets endowed with this structure and obtain some results about this new notion.

综合数学 · 数学 2025-10-07 Eduardo Santana

A master equation for the evolution of two-dimensional universe is derived based on the simplicial quantum gravity regarding the evolution as the Markov process of a space-time lattice. Three typical phases, expanding, elongating and…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Tetsuyuki Yukawa

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a…

经典物理 · 物理学 2021-11-02 Biplab Raychaudhuri , Souvik Ghose , Arunabha Bhadra

This chapter reviews the theoretical description of interacting fermions in one dimension. The Luttinger liquid concept is elucidated using the Tomonaga-Luttinger model as well as integrable lattice models. Weakly coupled chains and…

强关联电子 · 物理学 2007-05-23 K. Schonhammer

A triangular-lattice pattern is observed in light beams resulting from the spatial cross modulation between an optical vortex and a triangular shaped beam undergoing parametric interaction. Both up- and down-conversion processes are…

Models relating to the Species-Area curve are usually defined at the species level, and concerned only with ecological timescales. We examine an individual-based model of co-evolution on a spatial lattice based on the Tangled Nature model,…

种群与进化 · 定量生物学 2007-05-23 Daniel Lawson , Henrik Jeldtoft Jensen

The paper presents an exponential pheromone deposition rule to modify the basic ant system algorithm which employs constant deposition rule. A stability analysis using differential equation is carried out to find out the values of…

人工智能 · 计算机科学 2008-11-04 Ayan Acharya , Deepyaman Maiti , Aritra Banerjee , Amit Konar

Evolutionary algorithms borrow from biology the concepts of mutation and selection in order to evolve optimized solutions to known problems. The GENETIS collaboration is developing genetic algorithms for designing antennas that are more…

The intrinsic connection between lattice theory and topology is fairly well established, For instance, the collection of open subsets of a topological subspace always forms a distributive lattice. Persistent homology has been one of the…

环与代数 · 数学 2014-02-03 Primož Škraba , João Pita Costa