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The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

We develop a spatially realistic model of mutualistic metacommunities that exploits the joint structure of spatial and interaction networks. This model exhibits a sharp transition between a stable non-null equilibrium state and a global…

Populations and Evolution · Quantitative Biology 2022-06-23 Marc Ohlmann , François Munoz , François Massol , Wilfried Thuiller

Conjoint experiments have become central to survey research in political science and related fields because they allow researchers to study preferences across multiple attributes simultaneously. Beyond estimating main effects, scholars…

Methodology · Statistics 2025-10-03 Steven Wang , Isys Johnson , Jessica Grogan , Lalit Jain , Atri Rudra , Kyle Hunt , Kenneth Joseph

Many empirical studies estimate causal effects in environments where economic units interact through spatial or network connections. In such settings, outcomes are jointly determined, and treatment induced shocks propagate across…

General Economics · Economics 2026-01-05 Mariluz Mate

The central theme of complex systems research is understanding the emergent macroscopic properties of a system from the interplay of its microscopic constituents. Here, we ask what conditions a complex network of microscopic dynamical units…

Dynamical Systems · Mathematics 2012-07-25 Anne-Ly Do , Stefano Boccaletti , Jeremias Epperlein , Stefan Siegmund , Thilo Gross

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to cluster into distinct groups in order to enhance their overall…

Methodology · Statistics 2023-11-02 Blake McGrane-Corrigan , Oliver Mason , Rafael de Andrade Moral

Correlations between different partitions of quantum systems play a central role in a variety of many-body quantum systems, and they have been studied exhaustively in experimental and theoretical research. Here, we investigate dynamical…

A non-Markovian model of quantum repeated interactions between a small quantum system and an infinite chain of quantum systems is presented. By adapting and applying usual pro jection operator techniques in this context, discrete versions…

Quantum Physics · Physics 2015-05-13 C Pellegrini , F Petruccione

Analyses of urban scaling laws assume that observations in different cities are independent of the existence of nearby cities. Here we introduce generative models and data-analysis methods that overcome this limitation by modelling…

Physics and Society · Physics 2021-01-21 Eduardo G. Altmann

Here we propose a test to detect effects of single nucleotide polymorphisms (SNPs) on a quantitative trait. Significant SNP-SNP interactions are more difficult to detect than significant SNPs, partly due to the massive amount of SNP-SNP…

We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting point, is described by a Markov chain, which in the limit…

Statistical Mechanics · Physics 2014-10-06 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

The detection of community structure in networks is intimately related to finding a concise description of the network in terms of its modules. This notion has been recently exploited by the Map equation formalism (M. Rosvall and C.T.…

Physics and Society · Physics 2015-03-19 Michael T. Schaub , Renaud Lambiotte , Mauricio Barahona

For any system, whether physical or non-physical, knowledge of the form and strength of inter-individual interactions is a key-information. In an approach based on statistical physics one needs to know the interaction Hamiltonian. For…

Biological Physics · Physics 2013-01-01 Zengru Di , Bertrand M. Roehner

Although instantaneous interactions are unphysical, a large variety of maximum entropy statistical inference methods match the model-inferred and the empirically-measured equal-time correlation functions. Focusing on collective motion of…

In the realm of spatiotemporal chaos, unstable periodic orbits play a major role in understanding the dynamics. Their stability changes and bifurcations in general are thus of central interest. Here, coupled map lattice discretizations of…

Chaotic Dynamics · Physics 2026-03-05 Domenico Lippolis

Determining the relevant spatial covariates is one of the most important problems in the analysis of point patterns. Parametric methods may lead to incorrect conclusions, especially when the model of interactions between points is wrong.…

Methodology · Statistics 2022-10-12 Jiří Dvořák , Tomáš Mrkvička

A new method is introduced for analysis of interactions between time-dependent coupled oscillators, based on the signals they generate. It distinguishes unsynchronized dynamics from noise-induced phase slips, and enables the evolution of…

Data Analysis, Statistics and Probability · Physics 2012-08-09 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

Quantifying relationships between components of a complex system is critical to understanding the rich network of interactions that characterize the behavior of the system. Traditional methods for detecting pairwise dependence of time…

Data Analysis, Statistics and Probability · Physics 2024-04-10 Aria Nguyen , Oscar McMullin , Joseph T. Lizier , Ben D. Fulcher

We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior,…

Quantum Physics · Physics 2025-08-14 Marcos G. Alpino , Tiago Debarba , Reinaldo O. Vianna , André T. Cesário