Extreme value statistics of correlated random variables: a pedagogical review

SN Majumdar, A Pal, G Schehr - Physics Reports, 2020 - Elsevier
Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the
minimum of a set of random variables. This is an important problem for any time-series and …

Strong disorder RG approach of random systems

F Iglói, C Monthus - Physics reports, 2005 - Elsevier
There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

[BOOK][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools

D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

Rheological constitutive equation for a model of soft glassy materials

P Sollich - Physical Review E, 1998 - APS
We solve exactly and describe in detail a simplified scalar model for the low frequency shear
rheology of foams, emulsions, slurries, etc.[P. Sollich, F. Lequeux, P. Hébraud, and ME …

[BOOK][B] The structure and dynamics of cities

M Barthelemy - 2016 - books.google.com
With over half of the world's population now living in urban areas, the ability to model and
understand the structure and dynamics of cities is becoming increasingly valuable …

Wealth condensation in a simple model of economy

JP Bouchaud, M Mézard - Physica A: Statistical Mechanics and its …, 2000 - Elsevier
We introduce a simple model of economy, where the time evolution is described by an
equation capturing both exchange between individuals and random speculative trading, in …

Implicit self-regularization in deep neural networks: Evidence from random matrix theory and implications for learning

CH Martin, MW Mahoney - Journal of Machine Learning Research, 2021 - jmlr.org
Random Matrix Theory (RMT) is applied to analyze the weight matrices of Deep Neural
Networks (DNNs), including both production quality, pre-trained models such as AlexNet …

On the Adam-Gibbs-Kirkpatrick-Thirumalai-Wolynes scenario for the viscosity increase in glasses

JP Bouchaud, G Biroli - The Journal of chemical physics, 2004 - pubs.aip.org
We reformulate the interpretation of the mean-field glass transition scenario for finite
dimensional systems, proposed by Kirkpatrick, Thirumalai, and Wolynes (KTW)[Phys. Rev. A …

Toughness and strength of nanocrystalline graphene

A Shekhawat, RO Ritchie - Nature communications, 2016 - nature.com
Pristine monocrystalline graphene is claimed to be the strongest material known with
remarkable mechanical and electrical properties. However, graphene made with scalable …

Exponential capacity of dense associative memories

C Lucibello, M Mézard - Physical Review Letters, 2024 - APS
Recent generalizations of the Hopfield model of associative memories are able to store a
number P of random patterns that grows exponentially with the number N of neurons, P= exp …