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On networks representing probability currents between states of a system, we generalize Schnakenberg's theory of nonequilibrium observables to nonsteady states, with the introduction of a new set of macroscopic observables that, for planar…

Statistical Mechanics · Physics 2015-08-19 Matteo Polettini

We investigate possible effects of high order nonlinearities on the shapes of infection refugia of the Hantavirus epidemic. We replace Fisher-like equations that have been recently used to describe Hantavirus spread in mouse populations by…

Adaptation and Self-Organizing Systems · Physics 2008-08-18 Niraj Kumar , M. N. Kuperman , V. M. Kenkre

The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

Populations and Evolution · Quantitative Biology 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

Self-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Erwin Frey

Most causal inference methods focus on estimating marginal average treatment effects, but many important causal estimands depend on the joint distribution of potential outcomes, including the probability of causation and proportions…

Methodology · Statistics 2025-10-16 Zach Shahn , David Madigan

Anthropogenic activity threatens biodiversity through climate change, habitat fragmentation, and increasing frequency and scale of disturbance. Various theoretical studies have sought to shed light on how these factors could promote or…

Populations and Evolution · Quantitative Biology 2026-04-01 Isaac Planas-Sitjà , Ryosuke Iritani , Adam L. Cronin

Landau levels (LLs) are the massively-degenerate discrete energy spectrum of a charged particle in a transverse magnetic field and lie at the heart of many intriguing phenomena such as the integer and fractional quantum Hall effects as well…

Strongly Correlated Electrons · Physics 2026-03-06 Farokh Mivehvar

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

We analyze the nonlinear relaxation of a complex ecosystem composed of many interacting species. The ecological system is described by generalized Lotka-Volterra equations with a multiplicative noise. The transient dynamics is studied in…

Statistical Mechanics · Physics 2016-11-23 M. A. Cirone , F. de Pasquale , B. Spagnolo

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

Methodology · Statistics 2014-04-15 Xiaoquan Wen , Matthew Stephens

Target trial emulation (TTE) enables causal questions to be studied with observational data when randomized controlled trials (RCTs) are infeasible. Yet treatment-effect methods often address causal estimation, missingness, and temporal…

The pairwise production of neutral Higgs bosons is analyzed in the context of the future linear colliders, such as the ILC and CLIC, within the general Two-Higgs-Doublet Model (2HDM). The corresponding cross-sections are computed at the…

High Energy Physics - Phenomenology · Physics 2010-02-10 David Lopez-Val , Joan Sola

Time-varying covariates in longitudinal studies frequently evolve through reciprocal feedback, undergo role reversal, and reflect unobserved individual heterogeneity. Standard statistical frameworks often assume fixed covariate roles and…

Methodology · Statistics 2026-02-27 Niloofar Ramezani , Pascal Nitiema , Jeffrey R. Wilson

Perez-Marco proved the existence of non-trivial totally invariant connected compacts called hedgehogs near the fixed point of a nonlinearizable germ of holomorphic diffeomorphism. We show that if two nonlinearisable holomorphic germs with a…

Dynamical Systems · Mathematics 2009-03-16 Kingshook Biswas

The principle of similarity, or homophily, is often used to explain patterns observed in complex networks such as transitivity and the abundance of triangles (3-cycles). However, many phenomena from division of labor to protein-protein…

Physics and Society · Physics 2022-10-12 Szymon Talaga , Andrzej Nowak

The constraints for evolution equations with some special form of Lax pair are first investigated. We show by examples how the method is rooted in the classical literatures and how the ignored constraints provide nontrivial solutions. Then…

Exactly Solvable and Integrable Systems · Physics 2010-10-19 Li YuQi , Li Biao , Lou SenYue

We consider processes on social networks that can potentially involve three factors: homophily, or the formation of social ties due to matching individual traits; social contagion, also known as social influence; and the causal effect of an…

Applications · Statistics 2022-03-18 Cosma Rohilla Shalizi , Andrew C. Thomas

The monomial basis for polynomials in N variables is labeled by compositions. To each composition there is associated a hook-length product, which is a product of linear functions of a parameter. The zeroes of this product are related to…

Combinatorics · Mathematics 2007-05-23 Charles F. Dunkl

Configurational arrangement of network architecture and interaction character of individuals are two most influential factors on the mechanisms underlying the evolutionary outcome of cooperation, which is explained by the well-established…

Populations and Evolution · Quantitative Biology 2018-02-16 Bijan Sarkar

The honeybee plays an extremely important role in ecosystem stability and diversity and in the production of bee pollinated crops. Honey bees and other pollinators are under threat from the combined effects of nutritional stress,…

Populations and Evolution · Quantitative Biology 2023-06-26 Jun Chen , Jordy O Rodriguez Rincon , Gloria DeGrandi-Hoffman , Jennifer Fewell , Jon Harrison , Yun Kang