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Natural selection acts on traits at different scales, often with opposing consequences. This article identifies the particular forces that act at each scale and how those forces combine to determine the overall evolutionary outcome. A…

种群与进化 · 定量生物学 2025-10-30 Steven A. Frank

Estimating phylogenetic trees is an important problem in evolutionary biology, environmental policy and medicine. Although trees are estimated, their uncertainties are discarded by mathematicians working in tree space. Here we explicitly…

统计方法学 · 统计学 2017-10-16 Amy D. Willis , Rayna C. Bell

The key idea of this model is that firms are the result of an evolutionary process. Based on demand and supply considerations the evolutionary model presented here derives explicitly Gibrat's law of proportionate effects as the result of…

综合金融 · 定量金融 2015-06-11 Joachim Kaldasch

We decompose returns for portfolios of bottom-ranked, lower-priced assets relative to the market into rank crossovers and changes in the relative price of those bottom-ranked assets. This decomposition is general and consistent with…

综合金融 · 定量金融 2018-12-17 Ricardo T. Fernholz , Christoffer Koch

To reduce global biodiversity loss, there is an urgent need to determine the most efficient allocation of conservation resources. Recently, there has been a growing trend for many governments to supplement public ownership and management of…

种群与进化 · 定量生物学 2010-11-02 Ascelin Gordon , William T. Langford , Matt D. White , James A. Todd , Lucy Bastin

We investigated distributions of short term price trends for high frequency stock market data. A number of trends as a function of their lengths was measured. We found that such a distribution does not fit to results following from an…

物理与社会 · 物理学 2009-11-13 Paweł Sieczka , Janusz A. Hołyst

We study a variant of the Cont-Bouchaud model which utilizes the perco lation approach of multi-agent simulations of the stock market fluctuations. Here, instead of considering the relative price change as the difference of the total demand…

统计力学 · 物理学 2009-11-07 Anirban Chakraborti

The growth of a population divided among spatial sites, with migration between the sites, is sometimes modelled by a product of random matrices, with each diagonal elements representing the growth rate in a given time period, and…

种群与进化 · 定量生物学 2015-05-04 David Steinsaltz , Shripad Tuljapurkar

We analyze mathematical models of the global human population growth and compare them to actual dynamics of the world population and of the world surplus product. We consider a possibility that the so-called world's demographic transition…

物理与社会 · 物理学 2009-11-23 Michael Golosovsky

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

统计力学 · 物理学 2008-12-02 Robert Kitt , Jaan Kalda

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

种群与进化 · 定量生物学 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

We argue that the stochastic dynamics of interacting agents which replicate, mutate and die constitutes a non-equilibrium physical process akin to aging in complex materials. Specifically, our study uses extensive computer simulations of…

种群与进化 · 定量生物学 2014-08-19 Nikolaj Becker , Paolo Sibani

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

理论经济学 · 经济学 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

We consider the randomness of market trade as the origin of price and return stochasticity. We look at time series of trade values and volumes as random variables during the averaging interval {\Delta} and describe the dependences of…

统计金融 · 定量金融 2024-06-18 Victor Olkhov

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

概率论 · 数学 2017-12-04 Anatolii A. Puhalskii

Cities are often compared through scaling laws, usually expressed as power-law relations between population size and aggregate urban quantities related to infrastructure, socioeconomic activity, or environmental impacts. These laws are…

物理与社会 · 物理学 2026-05-19 Ulysse Marquis , Marc Barthelemy

We analyze export data aggregated at world global level of 219 classes of products over a period of 39 years. Our main goal is to set up a dynamical model to identify and quantify plausible mechanisms by which the evolutions of the various…

经济学 · 定量金融 2016-09-20 Michele Caraglio , Fulvio Baldovin , Attilio L. Stella

The upsurge of real estate involves a variety of factors that have got influenced by many domains. Indeed, the unrecognized sector that would affect the economy for which regulatory proposals are being drafted to keep this in control is the…

The stability of money value is an important requisite for a functioning economy, yet it critically depends on the actions of participants in the market themselves. Here we model the value of money as a dynamical variable that results from…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Friedrich Wagner

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

理论经济学 · 经济学 2023-03-02 Valerio Astuti