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The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

Populations and Evolution · Quantitative Biology 2024-08-21 Yaïr Hein , Farshid Jafarpour

This paper investigates the dynamics of biomass in a marine ecosystem. A stochastic process is defined in which organisms undergo jumps in body size as they catch and eat smaller organisms. Using a systematic expansion of the master…

Populations and Evolution · Quantitative Biology 2010-01-11 Samik Datta , Gustav W. Delius , Richard Law

We have analyzed long-term wind speed time-series from five field sites up to a height of 300 m from the ground. Structure function-based scaling analysis has revealed that the scaling exponents in the mesoscale regime systematically depend…

Fluid Dynamics · Physics 2015-09-09 V. P. Kiliyanpilakkil , S. Basu , A. Ruiz-Columbié , G. Araya , L. Castillo , B. Hirth , W. Burgett

For any spatially explicit management, determining the appropriate spatial scale of management decisions is critical to success at achieving a given management goal. Specifically, managers must decide how much to subdivide a given managed…

Populations and Evolution · Quantitative Biology 2015-12-08 Nao Takashina , Marissa L. Baskett

The growth rate of real GDP per capita in the biggest OECD countries is represented as a sum of two components - a steadily decreasing trend and fluctuations related to the change in some specific age population. The long term trend in the…

General Finance · Quantitative Finance 2012-05-28 Ivan Kitov , Oleg Kitov

During the last decades, scientific community has been investigating both biological and hydrographic processes that affect fisheries. Such an interdisciplinary and synergic approach is nowadays giving a fundamental contribution, in…

We analyze a set of three databases at different levels of aggregation (i) a database of approximately $10^6$ publications of 247 countries in the period between 1980--2001. (ii) A database of 508 academic institutions from European Union…

Physics and Society · Physics 2007-05-23 Kaushik Matia , Luis A. Nunes Amaral , Marc Luwel , Henk. F. Moed , H. Eugene Stanley

The evolution of many stochastic systems is accurately described by random walks on graphs. We here explore the close connection between local steady-state fluctuations of random walks and the global structure of the underlying graph.…

Statistical Mechanics · Physics 2022-10-25 M. Bruderer

Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Such phenomena are quite commonly observed in Nature, ranging…

Statistical Mechanics · Physics 2007-05-23 Ning-Ning Pang , Hisen-Ching Kao , Wen-Jer Tzeng

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

Building upon the eco-evolutionary game dynamics framework established by Tilman et al., we investigate stochastic fluctuations in a two-strategy system incorporating environmental feedback mechanisms, where the payoff matrix exhibits…

Populations and Evolution · Quantitative Biology 2025-12-01 Chao Wang , Minlan Li , Chang Liu

Percolation is a cornerstone concept in physics, providing crucial insights into critical phenomena and phase transitions. In this study, we adopt a kinetic perspective to reveal the scaling behaviors of higher-order gaps in the largest…

Statistical Mechanics · Physics 2024-11-01 Sheng Fang , Qing Lin , Jun Meng , Bingsheng Chen , Jan Nagler , Youjin Deng , Jingfang Fan

Understanding how annual peak flow, $Q_p$, relates to upstream basin area, $A$, and their scaling have been one of the challenges in surface hydrology. Although a power-law scaling relationship (i.e., $Q_p \propto A^\alpha$) has been widely…

Statistical Mechanics · Physics 2024-09-04 Behzad Ghanbarian

Energy dissipation rates are an important characteristic of turbulence; however, their magnitude in observational profiles can be incorrectly determined owing to their irregular appearance during vertical evolution. By analysing the data…

Geophysics · Physics 2020-11-24 Nozomi Sugiura , Shinya Kouketsu , Shuhei Masuda , Satoshi Osafune , Ichiro Yasuda

We apply the macroscopic fluctuation theory to analyze the long-time statistics of the position of a tracer in the dense and the dilute limits of diffusive single-file systems. Our explicit results are about the corresponding large…

Statistical Mechanics · Physics 2023-02-01 Jagannath Rana , Tridib Sadhu

Arguably the most important problem in quantitative finance is to understand the nature of stochastic processes that underlie market dynamics. One aspect of the solution to this problem involves determining characteristics of the…

Physics and Society · Physics 2009-11-13 Kevin E. Bassler , Joseph L. McCauley , Gemunu H. Gunaratne

Bacteria and plankton populations living in oceans and lakes reproduce and die under the in- fluence of turbulent currents. Turbulent transport interacts in a complex way with the dynamics of populations because the typical reproduction…

Chaotic Dynamics · Physics 2011-09-20 Prasad Perlekar , Roberto Benzi , David R. Nelson , Federico Toschi

Spatially resolved genetic data is increasingly used to reconstruct the migrational history of species. To assist such inference, we study, by means of simulations and analytical methods, the dynamics of neutral gene frequencies in a…

Populations and Evolution · Quantitative Biology 2008-01-15 Oskar Hallatschek , David R. Nelson

The technique of Pad\'e Approximants, introduced in a previous work, is applied to extended recent data on the distribution of variations of interest rates compiled by the Federal Reserve System in the US. It is shown that new power laws…

Condensed Matter · Physics 2015-06-24 Thomas Alderweireld , Jean Nuyts

A statistical analysis is performed for a random unrestricted local crew scheduling problem, expressed in terms of pairing arrivals with departures. The analysis is aimed at understanding the structure of similar problems with global…

Disordered Systems and Neural Networks · Physics 2020-12-23 M. Lagerholm , C. Peterson , B. Söderberg