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The evolution of economic and innovation systems at the national scale is shaped by a complex dynamics, the footprint of which is the nested structure of the activities in which different countries are competitive. Nestedness is a…

General Economics · Economics 2023-08-15 Aurelio Patelli , Lorenzo Napolitano , Giulio Cimini , Emanuele Pugliese , Andrea Gabrielli

Reinforcement learning algorithms can train agents that solve problems in complex, interesting environments. Normally, the complexity of the trained agent is closely related to the complexity of the environment. This suggests that a highly…

Artificial Intelligence · Computer Science 2018-03-16 Trapit Bansal , Jakub Pachocki , Szymon Sidor , Ilya Sutskever , Igor Mordatch

Training an agent to adapt to specific tasks through co-optimization of morphology and control has widely attracted attention. However, whether there exists an optimal configuration and tactics for agents in a multiagent competition…

Artificial Intelligence · Computer Science 2025-11-20 Kangyao Huang , Di Guo , Xinyu Zhang , Xiangyang Ji , Huaping Liu

This work is an enquiry into the circumstances under which entropy methods can give an answer to the questions of both quantum separability and classical correlations of a composite state. Several entropy functionals are employed to examine…

Quantum Physics · Physics 2009-11-07 A. K. Rajagopal , R. W. Rendell

Entropic Dynamics is a framework in which dynamical laws such as those that arise in physics are derived as an application of entropic methods of inference. No underlying action principle is postulated. Instead, the dynamics is driven by…

Quantum Physics · Physics 2018-02-23 Ariel Caticha

We revisit the sharp-interface continuum thermodynamics of two-phase multicomponent fluid systems, accounting for partial mass and partial momentum balances both in the bulk phases and on the interface. This allows to describe the transfer…

Fluid Dynamics · Physics 2025-02-21 Dieter Bothe

As one of the main subjects of investigation in data science, network science has been demonstrated a wide range of applications to real-world networks analysis and modeling. For example, the pervasive presence of structural or topological…

Logic in Computer Science · Computer Science 2020-09-28 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

Dynamic interspecific interactions are thought to contribute to fundamental structures of ecological communities. Using the Yodzis framework of dominance control versus founder control versus niche control, the importance of intransitive…

Populations and Evolution · Quantitative Biology 2015-02-19 John Vandermeer

Quantitative predictions about the processes that promote species coexistence are a subject of active research in ecology. In particular, competitive interactions are known to shape and maintain ecological communities, and situations where…

Populations and Evolution · Quantitative Biology 2020-01-22 Jose A. Capitan , Sara Cuenda , David Alonso

This paper develops a conceptual extension of the Kinetic Theory of Active Particles, building upon the framework introduced in [2]. Living systems cannot be adequately described within classical single-scale paradigms, even when refined.…

Dynamical Systems · Mathematics 2026-04-22 Diletta Burini , Damian A. Knopoff

A fundamental problem in evolutionary ecology research is to explain how different species coexist in natural ecosystems. This question is directly related with species trophic competition. However, competition theory, based on the…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Balciunas

Most modern systems strive to learn from interactions with users, and many engage in exploration: making potentially suboptimal choices for the sake of acquiring new information. We initiate a study of the interplay between exploration and…

Computer Science and Game Theory · Computer Science 2017-11-21 Yishay Mansour , Aleksandrs Slivkins , Zhiwei Steven Wu

We analyze a simple model of adaptive competition which captures essential features of a variety of adaptive competitive systems in the social and biological sciences. Each of N agents, at each time step of a game, joins one of two groups.…

adap-org · Physics 2007-05-23 Robert Savit , Radu Manuca , Rick Riolo

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

We study a competition-diffusion model while performing simultaneous homogenization and strong competition limits. The limit problem is shown to be a Stefan type evolution equation with effective coefficients. We also perform some numerical…

Analysis of PDEs · Mathematics 2017-10-20 Harsha Hutridurga , Chandrasekhar Venkataraman

We present a theoretical framework and a calculational scheme to study the coexistence and competition of thermodynamic phases in quantum statistical mechanics. The crux of the method is the realization that the microscopic Hamiltonian,…

Strongly Correlated Electrons · Physics 2009-11-07 G. Ortiz , C. D. Batista

The transient dynamics of copropagating entangled bosons and fermions remain an unexplored aspect of quantum mechanics. We investigate how entanglement manifests itself in the spatiotemporal evolution of the particles using a modified…

Quantum Physics · Physics 2026-03-06 M. Á. Terán , Roberto Romo , Gastón García-Calderón

Traditional methods in educational research often fail to capture the complex and evolving nature of learning processes. This chapter examines the use of complex systems theory in education to address these limitations. The chapter covers…

Computers and Society · Computer Science 2025-02-03 Mohammed Saqr , Daryn Dever , Sonsoles López-Pernas , Christophe Gernigon , Gwen Marchand , Avi Kaplan

The dynamics of networks on Heider balance theory moves toward reducing the tension by constantly reevaluating the interactions to achieve a state of balance. Conflict of interest, however, is inherent in most complex systems; frequently,…

Physics and Society · Physics 2021-02-23 Farideh Oloomi , Razieh Masoumi , Kosar Karimipour , Ali Hosseiny , G. Reza Jafari