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Recent research has extended methods from the fields of thermodynamics and statistical mechanics into other disciplines. Most notably, one recent work creates a unified theoretical framework to understand evolutionary biology, machine…

Populations and Evolution · Quantitative Biology 2024-05-22 Daniel Sadasivan , Cole Cantu , Cecilia Marsh , Andrew Graham

A review of the superstatistics concept is provided, including various recent applications to complex systems.

Statistical Mechanics · Physics 2007-05-28 Christian Beck

Deeper insight leads to better practice. We show how the study of the foundations of quantum mechanics has led to new pictures of open systems and to a method of computation which is practical and can be used where others cannot. We…

Quantum Physics · Physics 2009-09-25 Nicolas Gisin , Ian C Percival

Basic principles of mathematical modeling are reviewed in this book, with the focus on physics and its practical applications, and examples of selected mathematical methods are presented. Most of the models have been imported from physics…

Classical Physics · Physics 2025-07-14 Sergej Pankratow

The grand challenges in biology today are being shaped by powerful high-throughput technologies that have revealed the genomes of many organisms, global expression patterns of genes and detailed information about variation within…

Statistics Theory · Mathematics 2007-06-13 Lior Pachter , Bernd Sturmfels

Biomedical research centers can empower basic discovery and novel therapeutic strategies by leveraging their large-scale datasets from experiments and patients. This data, together with new technologies to create and analyze it, has ushered…

How cells maintain a stable size has fascinated scientists since the beginning of modern biology, but has remained largely mysterious. Recently, however, the ability to analyze single bacteria in real time has provided new, important…

Cell Behavior · Quantitative Biology 2015-04-02 Suckjoon Jun , Sattar Taheri-Araghi

Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways (cf. [Lub94], [HLW06], [Lub12] and the…

Group Theory · Mathematics 2017-12-08 Alexander Lubotzky

Building on a strong foundation of philosophy, theory, methods and computation over the past three decades, Bayesian approaches are now an integral part of the toolkit for most statisticians and data scientists. Whether they are dedicated…

The recent progresses in Machine Learning opened the door to actual applications of learning algorithms but also to new research directions both in the field of Machine Learning directly and, at the edges with other disciplines. The case…

Disordered Systems and Neural Networks · Physics 2023-07-17 Aurélien Decelle

We use molecular dynamic to simulate the directional growth of binary mixtures. our results compare very well with analitical and experimental results. This opens up the possibility to probe growth situations which are difficult to reach…

Statistical Mechanics · Physics 2007-05-23 B. V. Costa , P. Z. Coura , O. N. Mesquita

Mechanobiology is gaining more and more traction as the fundamental role of physical forces in biological function becomes clearer. Forces at the microscale are often measured indirectly using inverse problems such as Traction Force…

Biological Physics · Physics 2025-03-21 Aleix Boquet-Pujadas

The paradoxes of thermodynamics and statistical physics are unavoidable in the study of physical paradoxes because of their importance at the time they came to be as well as the frequency of their appearance in historical studies of…

General Physics · Physics 2009-12-10 Dragoljub A. Cucic

This tutorial covers the emerging field of coarse-grained cellular growth modeling, and aims to bridge the gap between theoretical foundations and practical application. By adopting an original "cookbook" approach, it is designed to offer a…

The rapid evolution of information systems managing more and more voluminous data has caused profound paradigm shifts in the job of statistician, becoming successively data miner, bioinformatician and now data scientist. Without the sake of…

Statistics Theory · Mathematics 2014-05-22 Philippe Besse , Aurélien Garivier , Jean-Michel Loubes

The physiological tradition of biological research analyzes biological systems using reduced descriptions much as an engineer uses a 'black box' description of an amplifier. Simple models have been used by physiologists for a very long…

Other Quantitative Biology · Quantitative Biology 2012-07-06 Bob Eisenberg

This is an extensive review of recent work on the foundations of statistical mechanics. Subject matters discussed include: interpretation of probability, typicality, recurrence, reversibility, ergodicity, mixing, coarse graining, past…

Statistical Mechanics · Physics 2008-04-03 Roman Frigg

We give a survey of the foundations of statistical queries and their many applications to other areas. We introduce the model, give the main definitions, and we explore the fundamental theory statistical queries and how how it connects to…

Machine Learning · Computer Science 2020-05-15 Lev Reyzin

Although not as wide, and popular, as that of quantum mechanics, the investigation of fundamental aspects of statistical mechanics constitutes an important research field in the building of modern physics. Besides the interest for itself,…

Statistical Mechanics · Physics 2025-05-23 Marco Baldovin , Giacomo Gradenigo , Angelo Vulpiani , Nino Zanghì

The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 years. At the submitted papers are studied both…

General Physics · Physics 2022-10-25 Alexander Herega