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Information theory provides a useful tool to understand the evolution of complex nonlinear systems and their sustainability. In particular, Fisher Information (FI) has been evoked as a useful measure of sustainability and the variability of…

Dynamical Systems · Mathematics 2016-08-18 Avan Al-Saffar , Eun-jin Kim

Biological systems rely on robust internal information processing: Survival depends on highly reproducible dynamics of regulatory processes. Biological information processing elements, however, are intrinsically noisy (genetic switches,…

Molecular Networks · Quantitative Biology 2009-11-10 Konstantin Klemm , Stefan Bornholdt

Nowadays, scientific databases have become the bread-and-butter of particle physicists. These databases must be maintained and checked repeatedly to insure the accuracy of their content. The COMPETE collaboration aims at motivating data…

The possibility that evolutionary forces -- together with a few fundamental factors such as thermodynamic constraints, specific computational features enabling information processing, and ecological processes -- might constrain the logic of…

Biological Physics · Physics 2025-12-30 Manlio De Domenico

Before the massive spread of computer technology, information was far from complex. The development of technology shifted the paradigm: from individuals who faced scarce and costly information to individuals who face massive amounts of…

Statistical Finance · Quantitative Finance 2020-10-26 Giuseppe Pernagallo , Benedetto Torrisi

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated.…

Physics and Society · Physics 2015-06-26 Janusz Miskiewicz , Marcel Ausloos

A heterodimensional cycle is an invariant set of a dynamical system consisting of two hyperbolic periodic orbits with different dimensions of their unstable manifolds and a pair of orbits that connect them. For systems which are at least…

Dynamical Systems · Mathematics 2024-04-11 Dongchen Li , Dmitry Turaev

This document discusses the Information Theoretically Efficient Model (ITEM), a computerized system to generate an information theoretically efficient multinomial logistic regression from a general dataset. More specifically, this model is…

Machine Learning · Computer Science 2014-11-05 Tyler Ward

Ecological systems comprise an astonishing diversity of species that cooperate or compete with each other forming complex mutual dependencies. The minimum requirements to maintain a large species diversity on long time scales are in general…

Populations and Evolution · Quantitative Biology 2012-09-10 Joachim Mathiesen , Namiko Mitarai , Kim Sneppen , Ala Trusina

The impossibility of attaining equilibrium for cyclic chemical reaction networks with irreversible steps is apparently due to a divergent entropy production rate. A deeper reason seems to be the violation of the detailed balance condition.…

Chemical Physics · Physics 2013-09-05 Kinshuk Banerjee , Kamal Bhattacharyya

Turing patterns are stationary, wave-like structures that emerge from the nonequilibrium assembly of reactive and diffusive components. While they are foundational in biophysics, their classical formulation relies on a single characteristic…

Soft Condensed Matter · Physics 2026-01-30 Siamak Mirfendereski , Ankur Gupta

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

Statistical Mechanics · Physics 2018-08-01 Miguel A. Munoz

We propose an information-topological framework in which cycle closure is the fundamental mechanism of memory and consciousness. Memory is not a static store but the ability to re-enter latent cycles in neural state space, with invariant…

Neural and Evolutionary Computing · Computer Science 2025-09-29 Xin Li

Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Statistical Mechanics · Physics 2014-07-25 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Miguel A. Munoz , Jayanth R. Banavar , Amos Maritan

Information-processing systems that coordinate multiple agents and objectives face fundamental thermodynamic constraints. We show that solutions with maximum utility to act as coordination focal points have a much higher selection pressure…

Artificial Intelligence · Computer Science 2025-10-16 Atma Anand

Informational contributions to thermodynamics can be studied in isolation by considering systems with fully-degenerate Hamiltonians. In this regime, being in non-equilibrium -- termed informational non-equilibrium -- provides thermodynamic…

Quantum Physics · Physics 2025-05-15 Chung-Yun Hsieh , Benjamin Stratton , Hao-Cheng Weng , Valerio Scarani

Dynamical systems containing heteroclinic cycles and networks can be invoked as models of intransitive competition between three or more species. When populations are assumed to be well-mixed, a system of ordinary differential equations…

Dynamical Systems · Mathematics 2023-11-01 David C Groothuizen Dijkema , Claire M Postlethwaite

Comparing networks is essential for a number of downstream tasks, from clustering to anomaly detection. Despite higher-order interactions being critical for understanding the dynamics of complex systems, traditional approaches for network…

Physics and Society · Physics 2025-11-03 Helcio Felippe , Alec Kirkley , Federico Battiston

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

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