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Relative abundance is a common metric to estimate the composition of species in ecological surveys reflecting patterns of commonness and rarity of biological assemblages. Measurements of coral reef compositions formed by four communities…

Applications · Statistics 2021-05-06 Luiza Piancastelli , Nial Friel , Julie Vercelloni , Kerrie Mengersen , Antonietta Mira

We study a predator-prey system with a generalist Leslie-Gower predator, a functional Holling type II response, and a weak Allee effect on the prey. The prey's population often grows much faster than its predator, allowing us to introduce a…

Dynamical Systems · Mathematics 2025-03-06 Roberto Albarran García , Martha Alvarez-Ramírez , Hildeberto Jardón-Kojakhmetov

In mathematical modeling, several different functional forms can often be used to fit a data set equally well, especially if the data is sparse. In such cases, these mathematically different but similar looking functional forms are…

Dynamical Systems · Mathematics 2022-08-08 Sarah K. Wyse , Maria M. Martignoni , May Anne Mata , Eric Foxall , Rebecca C. Tyson

We consider random partitions of the vertex set of a given finite graph that can be sampled by means of loop-erased random walks stopped at a random exponential time of parameter $q>0$. The related random blocks tend to cluster nodes…

Probability · Mathematics 2023-01-25 Luca Avena , Jannetje Driessen , Twan Koperberg

Species tree estimation is a complex problem, due to the fact that different parts of the genome can have different evolutionary histories than the genome itself. One of the causes for this discord is incomplete lineage sorting (also called…

Populations and Evolution · Quantitative Biology 2019-04-09 Erin Molloy , Tandy Warnow

Two giants of evolutionary theory, Sewall Wright and R. A. Fisher, fought bitterly for over thirty years. The Wright-Fisher controversy forms a cornerstone of the history and philosophy of biology. I argue that the standard interpretations…

Populations and Evolution · Quantitative Biology 2011-02-21 Steven A. Frank

We discuss monolayer and bilayer quantum Hall systems in which each layer is a half-filled Landau level (LL) system. In the mean field approximation of the Son's formalism there is a common pairing structure that underlines the…

Strongly Correlated Electrons · Physics 2017-06-28 M. V. Milovanović

At Alife VI, Mark Bedau proposed some evolutionary statistics as a means of classifying different evolutionary systems. Ecolab, whilst not an artificial life system, is a model of an evolving ecology that has advantages of mathematical…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Russell K. Standish

We consider the behaviour of logarithmic differential forms on arrangements and multiarrangements of hyperplanes under the operations of deletion and restriction, extending early work of G\"unter Ziegler. The restriction of logarithmic…

Combinatorics · Mathematics 2026-05-20 Takuro Abe , Graham Denham

In this paper, the dynamics of a Leslie-Gower type predator-prey system with herd behavior and constant harvesting in prey are investigated. Earlier work has shown that the herd behavior in prey merely induces a supercritical Hopf…

Dynamical Systems · Mathematics 2023-11-07 Yong Yao

This paper is an extended erratum to J. Math. Phys.53, 042302 (2012) and arXiv:1104.3443, in which the classic construction and Borel summability of the phi^4_2 Euclidean quantum field theory was revisited combining a multi-scale analysis…

Mathematical Physics · Physics 2015-05-22 Vincent Rivasseau , Zhituo Wang

In this paper we present a series of seemingly unrelated results of Complex Analysis which are in fact connected via a different approach to their proofs using the results of Errett Bishop of volumes and limits of analytic varieties. We…

Complex Variables · Mathematics 2025-07-28 Carlos Martínez Aguilar , Alberto Verjovsky

We introduce a coevolution voter model in a multilayer, by coupling a fraction of nodes across two network layers and allowing each layer to evolve according to its own topological temporal scale. When these time scales are the same the…

Physics and Society · Physics 2014-08-13 Marina Diakonova , Maxi San Miguel , Victor M. Eguiluz

The growing sample of LIGO--Virgo black holes (BHs) opens new perspectives for the study of massive binary evolution. Here, we study the impact of mass accretion efficiency and common envelope on the properties of binary BH (BBH) mergers,…

High Energy Astrophysical Phenomena · Physics 2021-12-07 Yann Bouffanais , Michela Mapelli , Filippo Santoliquido , Nicola Giacobbo , Giuliano Iorio , Guglielmo Costa

The correlation energies of the helium isoelectronic sequence and of Hooke's atom isoelectronic sequence have been evaluated using an assortment of local, gradient and meta-gradient density functionals. The results are compared with the…

Chemical Physics · Physics 2009-11-11 Jacob Katriel , Sudip Roy , Michael Springborg

We explore connections between the phenomenon of correlation decay and the location of Lee-Yang and Fisher zeros for various spin systems. In particular we show that, in many instances, proofs showing that weak spatial mixing on the Bethe…

Computational Complexity · Computer Science 2022-08-05 Jingcheng Liu , Alistair Sinclair , Piyush Srivastava

Assessment of replicability is critical to ensure the quality and rigor of scientific research. In this paper, we discuss inference and modeling principles for replicability assessment. Targeting distinct application scenarios, we propose…

Methodology · Statistics 2021-05-11 Yi Zhao , Xiaoquan Wen

Algorithms for partition refinement are actively studied for a variety of systems, often with the optimisation called Hopcroft's trick. However, the low-level description of those algorithms in the literature often obscures the essence of…

Formal Languages and Automata Theory · Computer Science 2024-05-03 Takahiro Sanada , Ryota Kojima , Yuichi Komorida , Koko Muroya , Ichiro Hasuo

We introduce CoHiRF (Consensus Hierarchical Random Features), a hierarchical consensus framework that enables existing clustering methods to operate beyond their usual computational and memory limits. CoHiRF is a meta-algorithm that…

Machine Learning · Computer Science 2026-02-10 Katia Meziani , Bruno Belucci , Karim Lounici , Vladimir R. Kostic

The original version of this paper commented on a paper by Jaffe, Jin, and Tang (hep-ph/9710561). That paper has been revised, and my original comment no longer applies to the revised version. The original version of my comment…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. Collins