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From synthetic active devices such as self-propelling Janus colloids to micro-organisms like bacteria, micro-algae, living cells in tissues, active fluctuations are ubiquitous. Thermodynamics of small systems involving thermal as well as…

Statistical Mechanics · Physics 2020-01-29 Arnab Saha , Rahul Marathe

By incorporating market impact and asymmetric sensitivity into the evolutionary minority game, we study the coevolutionary dynamics of stock prices and investment strategies in financial markets. Both the stock price movement and the…

Trading and Market Microstructure · Quantitative Finance 2015-06-11 Li-Xin Zhong , Wen-Juan Xu , Fei Ren , Yong-Dong Shi

A deterministic trading strategy by a representative investor on a single market asset, which generates complex and realistic returns with its first four moments similar to the empirical values of European stock indices, is used to simulate…

General Finance · Quantitative Finance 2016-09-08 Philip Maymin

Econophysics is a science in its infancy, born about ten years ago at this time of writing, at the crossing roads of physics, mathematics, computing and of course economics and finance. It also covers human sciences, because all economics…

Physics and Society · Physics 2012-09-25 Marcel Ausloos

A population of committees of agents that learn by using neural networks is implemented to simulate the stock market. Each committee of agents, which is regarded as a player in a game, is optimised by continually adapting the architecture…

Multiagent Systems · Computer Science 2007-05-23 T. Marwala , P. De Wilde , L. Correia , P. Mariano , R. Ribeiro , V. Abramov , N. Szirbik , J. Goossenaerts

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

Classical Analysis and ODEs · Mathematics 2013-05-09 Dmitry Vorotnikov

Every interaction of a living organism with its environment involves the placement of a bet. Armed with partial knowledge about a stochastic world, the organism must decide its next step or near-term strategy, an act that implicitly or…

Populations and Evolution · Quantitative Biology 2023-05-30 Philipp Fleig , Vijay Balasubramanian

Anchoring is a term used in psychology to describe the common human tendency to rely too heavily (anchor) on one piece of information when making decisions. A trading algorithm inspired by biological motors, introduced by L. Gil\cite{Gil},…

Trading and Market Microstructure · Quantitative Finance 2008-12-10 Jorgen Vitting Andersen

In this paper we study the dynamics of stochastic microorganism flocculation models. Given the strong influence of environmental and seasonal fluctuations that are present in these models, we propose a stochastic model that includes…

Probability · Mathematics 2025-11-18 Alexandru Hening , Nguyen T. Hieu , Dang H. Nguyen , Nhu Nguyen

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational…

Statistical Mechanics · Physics 2015-10-19 Bernhard Altaner , Artur Wachtel , Jürgen Vollmer

We derive a simple closed analytical expression for the total entropy production along a single stochastic trajectory of a Brownian particle diffusing on a periodic potential under an external constant force. By numerical simulations we…

Statistical Mechanics · Physics 2015-06-25 A. Gomez-Marin , I. Pagonabarraga

Empirical observations indicate striking similarities among locomotion in terrestrial animals, birds, and fish, but unifying physical grounds are lacking. When applied to efficient locomotion, the analytical mechanics principle of minimum…

Biological Physics · Physics 2015-05-14 Valery B. Kokshenev

We have realized a Brownian motor by using cold atoms in a dissipative optical lattice as a model system. In our experiment the optical potential is spatially symmetric and the time-symmetry of the system is broken by applying appropriate…

Statistical Mechanics · Physics 2009-11-11 P. H. Jones , M. Goonasekera , F. Renzoni

We consider a system of diffusing particles on the real line in a quadratic external potential and with repulsive electrostatic interaction. The empirical measure process is known to converge weakly to a deterministic measure-valued process…

Probability · Mathematics 2010-03-23 Martin Bender

Financial markets have long since been modeled using stochastic methods such as Brownian motion, and more recently, rough volatility models have been built using fractional Brownian motion. This fractional aspect brings memory into the…

Statistical Finance · Quantitative Finance 2024-07-01 Patrick Geraghty

We present a simple game which mimics the complex dynamics found in most natural and social systems. Intelligent players modify their strategies periodically, depending on their performances. We propose that the agents use hybridized…

Statistical Mechanics · Physics 2009-11-07 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

We propose a simple market model where agents trade different types of products with each other by using money, relying only on local information. Value fluctuations of single products, combined with the condition of maximum profit in…

Condensed Matter · Physics 2015-06-24 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

Fuzzy Cognitive Maps (FCMs) is a complex systems modeling technique which, due to its unique advantages, has lately risen in popularity. They are based on graphs that represent the causal relationships among the parameters of the system to…

Neural and Evolutionary Computing · Computer Science 2021-02-02 Stefanos Tsimenidis

We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis…

Condensed Matter · Physics 2013-05-29 Kan Chen , Bing-Hong Wang , Baosheng Yuan

We present a game of interacting agents which mimics the complex dynamics found in many natural and social systems. These agents modify their strategies periodically, depending on their performances using genetic crossover mechanisms,…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski