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Critical, or scale independent, systems are so ubiquitous, that gaining theoretical insights on their nature and properties has many direct repercussions in social and natural sciences. In this report, we start from the simplest possible…

Physics and Society · Physics 2012-11-07 Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

The natural evolution of life seems to proceed through steps characterized by phases of relatively rapid changes, followed by longer, more stable periods. In the light of the string-theory derived physical scenario proposed in [1], we…

General Physics · Physics 2007-12-06 Andrea Gregori

For any physical observable in statistical systems, the most frequently studied quantities are its average and standard deviation. Yet, its full distribution often carries extremely interesting information and can be invoked to put any…

Condensed Matter · Physics 2009-11-07 R. K. P. Zia , B. Schmittmann

Biological evolution depends on the passing down to subsequent generations of genetic information encoding beneficial traits, and on the removal of unfit individuals by a selection mechanism. However, selection acts on phenotypes, and is…

Populations and Evolution · Quantitative Biology 2026-05-01 Bastien Mallein , Francesco Paparella , Emmanuel Schertzer , Zsófia Talyigás

Regardless of a system's complexity or scale, its growth can be considered to be a spontaneous thermodynamic response to a local convergence of down-gradient material flows. Here it is shown how growth can be constrained to a few distinct…

Atmospheric and Oceanic Physics · Physics 2012-11-14 Timothy J. Garrett

Time evolution is an indivisible part in any physics theory. Usually, people are accustomed to think that the universe is a fixed background and the system itself evolves step by step in time. However, Yakir Aharonov challenges this view…

Quantum Physics · Physics 2019-08-09 Hai Wang , Ray-Kuang Lee , Junde Wu

Our understanding of risk preferences can be sharpened by considering their evolutionary basis. The existing literature has focused on two sources of risk: idiosyncratic risk and aggregate risk. We introduce a new source of risk, heritable…

Theoretical Economics · Economics 2021-07-28 Yuval Heller , Arthur Robson

We consider an asexual population under strong selection-weak mutation conditions evolving on rugged fitness landscapes with many local fitness peaks. Unlike the previous studies in which the initial fitness of the population is assumed to…

Populations and Evolution · Quantitative Biology 2011-11-18 Kavita Jain , Sarada Seetharaman

Identifying power-law scaling in real networks - indicative of preferential attachment - has proved controversial. Critics argue that measuring the temporal evolution of a network directly is better than measuring the degree distribution…

Adaptation of asexual populations is driven by beneficial mutations and therefore the dynamics of this process, besides other factors, depend on the distribution of beneficial fitness effects. It is known that on uncorrelated fitness…

Populations and Evolution · Quantitative Biology 2016-08-05 Sona John , Sarada Seetharaman

We study a fundamental issue in cosmology: Whether we can rely on a cosmological model to understand the real history of the Universe. This fundamental, still unresolved issue is often called the ``model-fitting problem (or averaging…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Masafumi Seriu

The theory of life history evolution provides a powerful framework to understand the evolutionary dynamics of pathogens in both epidemic and endemic situations. This framework, however, relies on the assumption that pathogen populations are…

Populations and Evolution · Quantitative Biology 2017-11-28 Todd Parsons , Amaury Lambert , Troy Day , Sylvain Gandon

By unifying three foundational principles of modern biology, we develop a mathematical framework to analyze the growing tree of life. Contrary to the static case, where the analogy between phylogenetic trees and the tree that grows in soil…

Populations and Evolution · Quantitative Biology 2025-10-01 Kevin Hudnall , Raissa D'Souza

Theoretically, communities at or near their equilibrium species number resist entry of new species. Such 'biotic resistance' recently has been questioned because of successful entry of alien species into diverse natural communities. Data on…

Populations and Evolution · Quantitative Biology 2010-04-15 Colleen K. Kellya , Stephen J. Blundell , Michael G. Bowler , Gordon A. Fox , Paul H. Harvey , Mark R. Lomas , F. Ian Woodward

The ordinary contact process is used to model the spread of a disease in a population. In this model, each infected individual waits an exponentially distributed time with parameter 1 before becoming healthy. In this paper, we introduce and…

Probability · Mathematics 2011-11-10 Erik I. Broman

We here present a model of the dynamics of extremism based on opinion dynamics in order to understand the circumstances which favour its emergence and development in large fractions of the general public. Our model is based on the bounded…

Physics and Society · Physics 2015-03-18 Gérard Weisbuch

Various factors influence why some countries are more open to immigration than others. Policy is only one of them. We design country-specific measures of openness to immigration that aim to capture de facto levels of openness to…

We study the evolution of preferences in multi-population settings that allow matches across distinct populations. Each individual has subjective preferences over potential outcomes, and chooses a best response based on his preferences and…

Computer Science and Game Theory · Computer Science 2024-09-20 Yu-Sung Tu , Wei-Torng Juang

The twentieth century was a period of outstanding economic growth together with an unequal income distribution. This paper analyses the international distribution of growth rates and its dynamics during the twentieth century. We show that…

General Finance · Quantitative Finance 2017-08-24 Mercedes Campi , Marco Dueñas

This paper generalizes a previously published differential equation that describes the relation between the age-specific incidence, remission, and mortality of a disease with its prevalence. The underlying model is a simple compartment…

Populations and Evolution · Quantitative Biology 2012-09-07 Ralph Brinks
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