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Many systems in nature are conjectured to exist at a critical point, including the brain and earthquake faults. The primary reason for this conjecture is that the distribution of clusters (avalanches of firing neurons in the brain or…

Statistical Mechanics · Physics 2023-03-22 W. Klein , Harvey Gould , Sakib Matin

We investigate the complex spatio-temporal dynamics in avalanche driven surface growth by means of scaling theory. We study local activity statistics, avalanche kinetics, and temporal correlations in the global interface velocity, obtaining…

Statistical Mechanics · Physics 2015-05-19 Juan M. Lopez , Marc Pradas , Aurora Hernandez-Machado

Scale-invariant avalanches -- with events of all sizes following power-law distributions -- are considered critical. Above the upper critical dimension of four, the mean-field solution with a robust $3/2$ size exponent describes the…

Statistical Mechanics · Physics 2026-02-03 K. Duplat , A. Douin , O. Ramos

We study the avalanche statistics observed in a minimal random growth model. The growth is governed by a reproduction rate obeying a probability distribution with finite mean a and variance va. These two control parameters determine if the…

Data Analysis, Statistics and Probability · Physics 2021-11-17 S. Polizzi , F. -J. Perez-Reche , A. Arneodo , F. Argoul

Natural disasters affect hundreds of millions of people worldwide every year. Early warning, humanitarian response and recovery mechanisms can be improved by using big data sources. Measuring the different dimensions of the impact of…

Computers and Society · Computer Science 2020-06-25 David Pastor-Escuredo , Yolanda Torres , Maria Martinez , Pedro J. Zufiria

Financial markets convert the incremental arrival of information into asset price changes. In a sandpile model grains of sand represent bits of data, and the size of an avalanche, governed by a scaling law, is linked to price volatility.…

Portfolio Management · Quantitative Finance 2026-03-03 Bernhard K Meister

Having reliable estimates of the occurrence rates of extreme events is highly important for insurance companies, government agencies and the general public. The rarity of an extreme event is typically expressed through its return period,…

Methodology · Statistics 2019-10-08 Ross Towe , Jonathan Tawn , Emma Eastoe , Rob Lamb

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

Physics and Society · Physics 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

Information-communication technology promotes collaborative environments like Wikipedia where, however, controversiality and conflicts can appear. To describe the rise, persistence, and resolution of such conflicts we devise an extended…

Physics and Society · Physics 2023-01-05 János Török , Gerardo Iñiguez , Taha Yasseri , Maxi San Miguel , Kimmo Kaski , János Kertész

Using lightning strikes as an example, two possible schemes are discussed for the attribution of changes in event frequency to climate change, and estimating the cost associated with them. The schemes determine the fraction of events that…

Applications · Statistics 2015-10-21 Anthony J. Webster

We use a discrete-time formulation to study the asymmetric avalanche process [Phys. Rev. Lett. vol. 87, 084301 (2001)] on a finite ring and obtain an exact expression for the average avalanche size of particles as a function of toppling…

Statistical Mechanics · Physics 2009-11-10 A. M. Povolotsky , V. B. Priezzhev , Chin-Kun Hu

This article illustrates an approach to forecasting change in conflict fatalities designed to address the complexity of the drivers and processes of armed conflicts. The design of this approach is based on two main choices. First, to…

Applications · Statistics 2022-05-30 Fulvio Attinà , Marcello Carammia , Stefano Maria Iacus

This study extends classical models of spreading epidemics to describe the phenomenon of contagious public outrage, which eventually leads to the spread of violence following a disclosure of some unpopular political decisions and/or…

Physics and Society · Physics 2015-06-17 Sarwat Nizamani , Nasrullah Memon , Serge Galam

We analyze the timescales of conflict decision-making in a primate society. We present evidence for multiple, periodic timescales associated with social decision-making and behavioral patterns. We demonstrate the existence of periodicities…

Populations and Evolution · Quantitative Biology 2011-09-21 Simon DeDeo , David C. Krakauer , Jessica C. Flack

Urban scaling laws relate socio-economic, behavioral, and physical variables to the population size of cities and allow for a new paradigm of city planning, and an understanding of urban resilience and economies. Independently of culture…

Physics and Society · Physics 2019-08-21 Carlos Molinero , Stefan Thurner

A collective chaotic phase with power law scaling of activity events is observed in a disordered mean field network of purely excitatory leaky integrate-and-fire neurons with short-term synaptic plasticity. The dynamical phase diagram…

Disordered Systems and Neural Networks · Physics 2017-03-20 Fabrizio Pittorino , Miguel Ibáñez-Berganza , Matteo di Volo , Alessandro Vezzani , Raffaella Burioni

We study the growth dynamics of the size of manufacturing firms considering competition and normal distribution of competency. We start with the fact that all components of the system struggle with each other for growth as happened in real…

Statistical Mechanics · Physics 2009-11-07 Hari M. Gupta , Jose R. Campanha

The fluctuation scaling law has universally been observed in a wide variety of phenomena. For counting processes describing the number of events occurred during time intervals, it is expressed as a power function relationship between the…

Data Analysis, Statistics and Probability · Physics 2013-07-01 Shinsuke Koyama

Motivated by the fact that empirical time series of earthquakes exhibit long-range correlations in space and time and the Gutenberg-Richter distribution of magnitudes, we propose a simple fault model that can account for these types of…

Statistical Mechanics · Physics 2020-01-29 Marco Baiesi

The massive proliferation of social media data represents a transformative opportunity for conflict studies and for tracking the proliferation and use of weaponry, as conflicts are increasingly documented in these online spaces. At the same…

Computers and Society · Computer Science 2025-05-29 Afia Abedin , Abdul Bais , Cody Buntain , Laura Courchesne , Brian McQuinn , Matthew E. Taylor , Muhib Ullah