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This contribution to the proceedings of the Cracow meeting on `Applications of Random Matrix Theory' summarizes a series of studies, some old and others more recent on financial applications of Random Matrix Theory (RMT). We first review…

Data Analysis, Statistics and Probability · Physics 2008-12-02 M. Potters , J. P. Bouchaud , L. Laloux

The exploration of the rich dynamics of electrons is a frontier in fundamental nano-physics. The dynamical behavior of electrons is dominated by random and chaotic thermal motion with ultrafast ($\approx$ ps) and nanoscale scatterings. This…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Ruijie Qian , S. T. Chui , Zhenghua An , y Hongtao Xu , Zhifang Lin , Zian Ji , Wei Lu

We study stochastic particle systems made up of heterogeneous units. We introduce a general framework suitable to analytically study this kind of systems and apply it to two particular models of interest in economy and epidemiology. We show…

Soft Condensed Matter · Physics 2013-02-06 Luis F. Lafuerza , Raul Toral

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

Understanding the forces governing human behavior and social dynamics is a challenging problem. Individuals' decisions and actions are affected by interlaced factors, such as physical location, homophily, and social ties. In this paper, we…

Social and Information Networks · Computer Science 2018-01-30 Luca Luceri , Alberto Vancheri , Torsten Braun , Silvia Giordano

The paper present one of attempts to apply the thermodynamics laws to economics. Introducing common thermodynamic parameters and considering world economics as a one macrosystem, authors demonstrate the possible consequences of entropy…

Physics and Society · Physics 2008-07-03 A. M. Tishin , O. B. Baklitskaya

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente

In the study of chaotic behaviour of systems of many hard spheres, Lyapunov exponents of small absolute value exhibit interesting characteristics leading to speculations about connections to non-equilibrium statistical mechanics. Analytical…

Chaotic Dynamics · Physics 2011-07-13 A. S. de Wijn

This article provides a (semi-)popular introduction to the phenomenology of neutrino masses.

Popular Physics · Physics 2007-05-23 H. V. Klapdor-Kleingrothaus , H. Päs

The ever-increasing quantity and complexity of scientific production have made it difficult for researchers to keep track of advances in their own fields. This, together with growing popularity of online scientific communities, calls for…

Social and Information Networks · Computer Science 2023-07-19 Hao Liao , Rui Xiao , Giulio Cimini , Matus Medo

The production and consumption of information about Bitcoin and other digital-, or 'crypto'-, currencies have grown together with their market capitalisation. However, a systematic investigation of the relationship between online attention…

Physics and Society · Physics 2020-05-22 Abeer ElBahrawy , Laura Alessandretti , Andrea Baronchelli

Nas \'ultimas d\'ecadas houve forte mudan\c{c}a no perfil das publica\c{c}\~oes em an\'alise econ\^omica do direito e nos m\'etodos emp\'iricos mais utilizados. Por\'em, nos pr\'oximos anos a mudan\c{c}a pode ser maior e mais r\'apida,…

General Economics · Economics 2021-02-23 Thomas V. Conti

Many economic activities are embedded in networks: sets of agents and the (often) rivalrous relationships connecting them to one another. Input sourcing by firms, interbank lending, scientific research, and job search are four examples,…

Econometrics · Economics 2019-12-16 Bryan S. Graham

Analogies between the price dynamics in the foreign exchange market and 3-dimensional fully developed turbulence were recently presented in Nature vol. 381, 767-769 (1996). Independently, we have carried out a study comparing the parallel…

Condensed Matter · Physics 2007-05-23 Rosario N. Mantegna , H. Eugene Stanley

We review the possibilities and difficulties for statistical physicists if they apply their methods to biology, economics, or sociology.

Statistical Mechanics · Physics 2016-08-31 Dietrich Stauffer

We report on the distribution spectra of the fluctations in the amount of power injected into a liquid crystal undergoing electroconvective flow. The probability distribution functions (PDFs) of the fluctuations as well as the magnitude of…

Pattern Formation and Solitons · Physics 2009-11-10 Tibor Tóth-Katona , James T. Gleeson

The volatility characterizes the amplitude of price return fluctuations. It is a central magnitude in finance closely related to the risk of holding a certain asset. Despite its popularity on trading floors, the volatility is unobservable…

Physics and Society · Physics 2008-12-02 Zoltan Eisler , Josep Perello , Jaume Masoliver

The theory of ``Markov-up'' processes is being developed. This is a new class of stochastic processes with ``partial'' markovian features; it could also be called ``one-sided Markov''. Such a behavior may be found in the real world and in…

Probability · Mathematics 2024-07-01 D. O. Kalikaeva

This thesis develops and expands upon known techniques of mathematical physics relevant to the analysis of the popular Markov model of phylogenetic trees required in biology to reconstruct the evolutionary relationships of taxonomic units…

Quantitative Methods · Quantitative Biology 2007-10-18 J G Sumner

Several groups have recently investigated the flow of information in high-energy collisions, from the entanglement entropy of the proton yielding classical Shannon entropy of its parton distribution functions (pdfs), through jet splitting…

High Energy Physics - Phenomenology · Physics 2023-08-11 Guillermo Benito-Calviño , Javier García-Olivares , Felipe J. Llanes-Estrada