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Crossover and mutation are the two main operators that lead to new solutions in evolutionary approaches. In this article, a new method of performing the crossover phase is presented. The problem of choice is evolutionary decision tree…

Neural and Evolutionary Computing · Computer Science 2021-05-11 Maciej Świechowski

Bare-state population inversion is demonstrated in a two-level system with all dipole matrix elements nonzero. A laser field is resonantly driving the sample whereas a second weaker and lower frequency coherent field additionally pumps it…

Quantum Physics · Physics 2015-07-31 Mihai Macovei , Mayank Mishra , Christoph H. Keitel

We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with each other via a public goods game. We extend the model of Erovenko et al. (2019) from…

Physics and Society · Physics 2023-10-11 Igor V. Erovenko , Mark Broom

Horizontal gene transfer is an important factor in bacterial evolution that can act across species boundaries. Yet, we know little about rate and genomic targets of cross-lineage gene transfer, and about its effects on the recipient…

Populations and Evolution · Quantitative Biology 2022-10-12 Jeffrey J. Power , Fernanda Pinheiro , Simone Pompei , Viera Kovacova , Melih Yüksel , Isabel Rathmann , Mona Förster , Michael Lässig , Berenike Maier

In the first part of this paper, we showed that three coupled populations of identical phase oscillators give rise to heteroclinic cycles between invariant sets where populations show distinct frequencies. Here, we now give explicit…

Dynamical Systems · Mathematics 2019-08-05 Christian Bick , Alexander Lohse

Resources are rarely distributed uniformly within a population. Heterogeneity in the concentration of a drug, the quality of breeding sites, or wealth can all affect evolutionary dynamics. In this study, we represent a collection of…

Populations and Evolution · Quantitative Biology 2022-02-18 Kamran Kaveh , Alex McAvoy , Krishnendu Chatterjee , Martin A. Nowak

In this paper we consider two continuous-mass population models as analogues of logistic branching random walks, one is supported on a finite trait space and the other one is supported on an infinite trait space. For the first model with…

Probability · Mathematics 2013-04-18 Anton Bovier , Shi-Dong Wang

The fuel-driven process of replication in living systems generates distributions of copied entities with varying degrees of copying accuracy. Here we introduce a thermodynamically consistent ensemble for investigating universal population…

Statistical Mechanics · Physics 2025-02-18 Arthur Genthon , Carl D. Modes , Frank Jülicher , Stephan W. Grill

Coherence evolution of two food web models can be obtained under the stirring effect of chaotic advection. Each food web model sustains a three--level trophic system composed of interacting predators, consumers and vegetation. These…

Chaotic Dynamics · Physics 2009-11-10 Adriana Auyuanet , Arturo C. Marti , Raul Montagne

We introduce a model for a population on a lattice with diffusion and birth/death according to 2A->3A and A->0 for a particle A. We find that the model displays a phase transition from an active to an absorbing state which is continuous in…

Statistical Mechanics · Physics 2015-06-25 Alastair Windus , Henrik Jeldtoft Jensen

Genomic evolution can be viewed as string-editing processes driven by mutations. An understanding of the statistical properties resulting from these mutation processes is of value in a variety of tasks related to biological sequence data,…

Information Theory · Computer Science 2018-12-07 Hao Lou , Farzad Farnoud , Moshe Schwartz , Jehoshua Bruck

We study the S-matrix for the transitions at an avoided crossing of several energy levels, which is a multilevel generalization of the Landau-Zener problem. We demonstrate that, by extending the Schroedinger evolution to complex time, one…

Mesoscale and Nanoscale Physics · Physics 2007-10-29 A. V. Shytov

In evolutionary game theory, an important measure of a mutant trait (strategy) is its ability to invade and take over an otherwise-monomorphic population. Typically, one quantifies the success of a mutant strategy via the probability that a…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert

We present a simple approach allowing to obtain analytical expressions for laser pulses that can drive a two-level system in an arbitrarily chosen way. The proposed scheme relates every desired population-evolution path to a single resonant…

Quantum Physics · Physics 2015-02-18 Nikolay V. Golubev , Alexander I. Kuleff

A population protocol can be viewed as a sequence of pairwise interactions of $n$ agents (nodes). During one interaction, two agents selected uniformly at random update their states by applying a specified deterministic transition function.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-12 Petra Berenbrink , Robert Elsässer , Tom Friedetzky , Dominik Kaaser , Peter Kling , Tomasz Radzik

We apply the theory of markov random fields on trees to derive a phase transition in the number of samples needed in order to reconstruct phylogenies. We consider the Cavender-Farris-Neyman model of evolution on trees, where all the inner…

Probability · Mathematics 2007-05-23 Elchanan Mossel

Migration between different habitats is ubiquitous among biological populations. In this Letter, we study a simple quasispecies model for evolution in two different habitats, with different fitness landscapes, coupled through one-way…

Populations and Evolution · Quantitative Biology 2010-12-23 Bartlomiej Waclaw , Rosalind J. Allen , Martin R. Evans

We examine the feasibility of predicting and subsequently managing the future evolution of a Complex Adaptive System. Our archetypal system mimics a competitive population of mechanical, biological, informational or human objects. We show…

Disordered Systems and Neural Networks · Physics 2007-05-23 David M. D. Smith , Neil F. Johnson

We provide a mean-field description for a leader-follower dynamics with mass transfer among the two populations. This model allows the transition from followers to leaders and vice versa, with scalar-valued transition rates depending…

Analysis of PDEs · Mathematics 2018-12-19 Giacomo Albi , Mattia Bongini , Francesco Rossi , Francesco Solombrino

We exploit a ferromagnetic chain of interacting $d$-level ($d>2$) particles for arbitrary perfect transfer of quantum states with $(d-1)$ levels. The presence of one extra degree of freedom in the Hilbert space of particles, which is not…

Quantum Physics · Physics 2014-06-04 Abolfazl Bayat
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