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Statistical inference is the science of drawing conclusions about some system from data. In modern signal processing and machine learning, inference is done in very high dimension: very many unknown characteristics about the system have to…

Disordered Systems and Neural Networks · Physics 2020-10-29 Jean Barbier

This is a review article for Encyclopedia of Complexity and System Science, to be published by Springer http://refworks.springer.com/complexity/. The paper reviews statistical models for money, wealth, and income distributions developed in…

Statistical Finance · Quantitative Finance 2023-06-06 Victor M. Yakovenko

The boundaries between physical and social networks have narrowed with the advent of the Internet and its pervasive platforms. This has given rise to a complex adaptive information ecosystem where individuals and machines compete for…

The status of the sociophysics is discussed as placed between the physics and the sociology. In particular we ask if the second law of thermodynamics can be useful in social sciences.

Physics and Society · Physics 2008-05-27 Krzysztof Kulakowski , Maria Nawojczyk

The conventional economic approaches explore very little about the dynamics of the economic systems. Since such systems consist of a large number of agents interacting nonlinearly they exhibit the properties of a complex system. Therefore…

General Physics · Physics 2012-04-01 B. G. Sharma , Sadhana Agrawal , Malti Sharma , D. P. Bisen , Ravi Sharma

This entry in the Encyclopedia of Complexity and Systems Science, Springer present a summary of some of the concepts and calculational tools that have been developed in attempts to apply statistical physics approaches to seismology. We…

Geophysics · Physics 2008-04-22 D. Sornette , M. J. Werner

Without attempting to summarize the vast field of statistical mechanics, we briefly mention some of the progress that was made in areas which have enjoyed Barry Simon's interests. In particular, we focus on rigorous non-perturbative results…

Mathematical Physics · Physics 2008-09-29 Michael Aizenman

The science of complex networks is a new interdisciplinary branch of science which has arisen recently on the interface of physics, biology, social and computer sciences, and others. Its main goal is to discover general laws governing the…

Statistical Mechanics · Physics 2007-05-23 B. Waclaw

A critical examination of some basic conceptual issues in classical statistical mechanics is attempted, with a view to understanding the origins, structure and statuts of that discipline. Due attention is given to the interplay between…

Statistical Mechanics · Physics 2015-06-24 Sergio B. Volchan

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the…

Statistical Finance · Quantitative Finance 2012-04-10 Victor M. Yakovenko

Various aspects of recent sociophysics research are shortly reviewed: Schelling model as an example for lack of interdisciplinary cooperation, opinion dynamics, combat, and citation statistics as an example for strong interdisciplinarity.

Physics and Society · Physics 2015-06-05 Dietrich Stauffer

This paper gives an introduction to some of the statistical physics problems which appear in the study of structural glasses. It is a shortened and updated version of a more detailed review paper which has appeared in cond-mat/0005173.

Disordered Systems and Neural Networks · Physics 2009-11-07 Marc Mezard

This special issue collects contributions from the participants of the "Information in Dynamical Systems and Complex Systems" workshop, which cover a wide range of important problems and new approaches that lie in the intersection of…

Chaotic Dynamics · Physics 2015-05-19 Erik M. Bollt , Jie Sun

Statistical thermodynamics has a universal appeal that extends beyond molecular systems, and yet, as its tools are being transplanted to fields outside physics, the fundamental question, \textit{what is thermodynamics?}, has remained…

Statistical Mechanics · Physics 2019-09-17 Themis Matsoukas

Common observations of the unpredictability of human behavior and the influence of one question on the answer to another suggest social science experiments are probabilistic and may be mutually incompatible with one another, characteristics…

Quantum Physics · Physics 2007-05-23 Ron Wright

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

Methods of statistical physics have proven valuable for studying the evolution of cooperation in social dilemma games. However, recent empirical research shows that cooperative behavior in social dilemmas is only one kind of a more general…

Physics and Society · Physics 2018-10-16 Valerio Capraro , Matjaz Perc

Several authors, including the American Statistician (ASA), have noted the challenges facing statisticians when attacking large, complex, unstructured problems, as opposed to well-defined textbook problems. Clearly, the standard paradigm of…

Other Statistics · Statistics 2015-11-20 Roger W. Hoerl , Ronald D. Snee

Mathematical aspects of the theory of interfaces in statistical mechanics are discussed.

Statistical Mechanics · Physics 2012-06-20 Salvador Miracle-Sole

Many statistical issues arise in the analysis of Particle Physics experiments. We give a brief introduction to Particle Physics, before describing the techniques used by Particle Physicists for dealing with statistical problems, and also…

Applications · Statistics 2008-11-12 Louis Lyons