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The combination of measurements of the local abundance of rich clusters of galaxies and its evolution to higher redshift offers the possibility of a direct measurement of $\Omega_0$ with little contribution from other cosmological…

We provide a classification of symmetric three-player games with two strategies and investigate evolutionary and asymptotic stability (in the replicator dynamics) of their Nash equilibria. We discuss similarities and differences between…

Populations and Evolution · Quantitative Biology 2007-05-23 Maciej Bukowski , Jacek Miekisz

We comment on the paper ``Numerical study of the SWKB condition of novel classes of exactly solvable systems'' [Y. Nasuda and N. Sawado, Mod. Phys. Lett. A 36, 2150025 (2021)]. We show that it misrepresents our prior work [J. Bougie, A.…

Mathematical Physics · Physics 2023-11-07 Jonathan Bougie , Asim Gangopadhyaya , Constantin Rasinariu

I comment (in a review fashion) on a few selected topics in the field of extragalactic globular clusters with strong emphasis on recent work. The topics are: bimodality in the colour distribution of cluster systems, young massive clusters,…

Astrophysics · Physics 2007-05-23 Tom Richtler

In social situations with which evolutionary game is concerned, individuals are considered to be heterogeneous in various aspects. In particular, they may differently perceive the same outcome of the game owing to heterogeneity in…

Populations and Evolution · Quantitative Biology 2014-03-07 Naoki Masuda

We hope here to provide the community with a convenient account of our viewpoint on the claims made by Chen et al. about our results on two-dimensional polar flocks.

Soft Condensed Matter · Physics 2025-04-21 Hugues Chaté , Alexandre Solon

The main topic of this thesis is the analysis of evolution equations reflecting issues in ecology and population dynamics. In mathematical modelling, the impact of environmental elements and the interaction between species is read into the…

Analysis of PDEs · Mathematics 2021-03-08 Elisa Affili

Rock is wrapped by paper, paper is cut by scissors, and scissors are crushed by rock. This simple game is popular among children and adults to decide on trivial disputes that have no obvious winner, but cyclic dominance is also at the heart…

We investigate how network structure influences evolutionary games on networks. We extend the pair approximation to study the effects of degree fluctuation and clustering of the network. We find that a larger fluctuation of the degree is…

Physics and Society · Physics 2015-11-12 Satoru Morita

We introduce and analyse an individual-based evolutionary model, in which a population of genetically diverse organisms compete with each other for limited resources. Through theoretical analysis and stochastic simulations, we show that the…

Populations and Evolution · Quantitative Biology 2012-11-02 Tim Rogers , Alan J. McKane , Axel G. Rossberg

We make some comments about the results we obtained in Phys. Rev. Lett. 86,3392(2001), and in Phys. Rev. Lett.87, 177206 (2001), and show that the conclusion of a recent paper [cond-mat/0409495] leveling some criticism on our results is, in…

Strongly Correlated Electrons · Physics 2009-09-29 Bogdan A. Bernevig , Domenico Giuliano , Robert B. Laughlin

This paper has been withdrawn by the first author due to incomplete bibliography and incorporation of multiple formats in the same file.

Information Theory · Computer Science 2009-12-24 Sahand Ahmad , Cem Tekin , Mingyan Liu , Jianwei Huang , Yunnan Wu

As a coauthor of the article mentioned in the title, I discuss the criticism in the comment of Aalseth et al. Part of the criticism is justified.

High Energy Physics - Phenomenology · Physics 2007-05-23 H. L. Harney

In this paper, we discover that the class of random polynomials arising from the equilibrium analysis of random asymmetric evolutionary games is \textit{exactly} the Kostlan-Shub-Smale system of random polynomials, revealing an intriguing…

Probability · Mathematics 2024-10-03 Manh Hong Duong , The Anh Han

Experimental studies are prevalent in Evolutionary Computation (EC), and concerns about the reproducibility and replicability of such studies have increased in recent times, reflecting similar concerns in other scientific fields. In this…

Artificial Intelligence · Computer Science 2022-03-30 Manuel López-Ibáñez , Juergen Branke , Luís Paquete

We study the population genetics of Evolution in the important special case of weak selection, in which all fitness values are assumed to be close to one another. We show that in this regime natural selection is tantamount to the…

Computer Science and Game Theory · Computer Science 2012-08-16 Erick Chastain , Adi Livnat , Christos Papadimitriou , Umesh Vazirani

Comment on K.J Thomas et al., Phys. Rev. Lett. 77, 135-138 (1996).

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Ralf D. Tscheuschner , Thomas Woelkhausen

We provide a reply to a comment by I. Goychuk arXiv:1708.04155, version v2 from 27 Aug 2017 (not under active consideration with Phys. Rev. Lett.), on our Letter E. Aghion, D. A. Kessler and E. Barkai, Phys. Rev. Lett., 118, 260601 (2017).

Statistical Mechanics · Physics 2017-10-17 Erez Aghion , David A. Kessler , Eli Barkai

We comment on a study by Nadykto et al. recently published in this journal. Earlier work from our group has been misrepresented in this study, and we feel that the claims made need to be amended. Also the analysis of Nadykto et al.…

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