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The purpose of this paper is to ensure the conditions of G\"artner-Ellis Theorem for evaluations of the empirical measure. We show that up-to-date conditions for ensuring the convergence to a quasi-stationary distribution can be applied…

Probability · Mathematics 2020-04-21 Aurélien Velleret

Observing quantum phase transitions in mesoscopic systems is a daunting task, thwarted by the difficulty of experimentally varying the magnetic interactions, the typical driving force behind these phase transitions. Here we demonstrate that…

Strongly Correlated Electrons · Physics 2020-01-23 Yaakov Kleeorin , Yigal Meir

We are interested in analyzing the effect of bandwidth sharing for telecommunication networks. More precisely, we want to calculate which routes are bottlenecks by means of large deviations techniques. The method is illustrated in this…

Probability · Mathematics 2007-05-23 Franck Delcoigne , Arnaud de La Fortelle

We analyse large deviations of the dynamical activity in one-dimensional systems of diffusing hard particles. Using an optimal-control representation of the large-deviation problem, we analyse effective interaction forces which can be added…

Statistical Mechanics · Physics 2020-01-22 Jakub Dolezal , Robert L. Jack

We explore the connection between evolution and large-deviation theory. To do so, we study evolutionary dynamics in which individuals experience mutations, reproduction, and selection using variants of the Moran model. We show that, in the…

Populations and Evolution · Quantitative Biology 2026-01-09 Sara Dal Cengio , Quentin Laurenceau , Vivien Lecomte , Charline Smadi , Julien Tailleur

We propose sequential transport (ST), a distributional framework for mediation analysis that combines optimal transport (OT) with a mediator directed acyclic graph (DAG). Instead of relying on cross-world counterfactual assumptions, ST…

Methodology · Statistics 2026-03-24 Agathe Fernandes Machado , Iryna Voitsitska , Arthur Charpentier , Ewen Gallic

We present an algorithm to evaluate the large deviation functions associated to history-dependent observables. Instead of relying on a time discretisation procedure to approximate the dynamics, we provide a direct continuous-time algorithm,…

Statistical Mechanics · Physics 2007-12-03 Vivien Lecomte , Julien Tailleur

We illustrate how classical chaotic dynamics influences the quantum properties at mesoscopic scales. As a model case we study semiclassically coherent transport through ballistic mesoscopic systems within the Landauer formalism beyond the…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Daniel Waltner , Klaus Richter

Transport in Hamiltonian systems with weak chaotic perturbations has been much studied in the past. In this paper, we introduce a new class of problems: transport in Hamiltonian systems with slowly changing phase space structure that are…

Chaotic Dynamics · Physics 2019-10-02 Freddy Bouchet , Eric Woillez

We describe a framework to significantly reduce the computational effort to evaluate large deviation functions of time integrated observables within nonequilibrium steady states. We do this by incorporating an auxiliary dynamics into…

Statistical Mechanics · Physics 2018-05-25 Ushnish Ray , Garnet Kin-Lic Chan , David T. Limmer

In this paper we propose a framework that enables the study of large deviations for point processes based on stationary sequences with regularly varying tails. This framework allows us to keep track not of the magnitude of the extreme…

Probability · Mathematics 2009-08-21 Henrik Hult , Gennady Samorodnitsky

We use a semi-Markov process method to calculate large deviations of counting statistics for three open quantum systems, including a resonant two-level system and resonant three-level systems in the $\Lambda$- and $V$-configurations. In the…

Statistical Mechanics · Physics 2023-12-15 Fei Liu

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Quantum dots (QDs) are pivotal for the development of quantum technologies, with applications ranging from single-photon sources for secure communication to quantum computing infrastructures. Understanding the electron dynamics within these…

Quantum Physics · Physics 2024-12-20 Markus Sifft , Johannes C. Bayer , Daniel Hägele , Rolf J. Haug

The movement of intracellular cargo transported by molecular motors is commonly marked by switches between directed motion and stationary pauses. The predominant measure for assessing movement is effective diffusivity, which predicts the…

Quantitative Methods · Quantitative Biology 2024-12-31 Keisha J. Cook , Nathan Rayens , Linh Do , Christine K. Payne , Scott A. McKinley

We present a review of nonequilibrium phase transitions in mass-transport models with kinetic processes like fragmentation, diffusion, aggregation, etc. These models have been used extensively to study a wide range of physical problems. We…

Statistical Mechanics · Physics 2010-11-16 Gaurav P. Shrivastav , Varsha Banerjee , Sanjay Puri

Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free…

Statistical Mechanics · Physics 2021-04-13 Stephen Whitelam , Daniel Jacobson

To study electronic transport through chaotic quantum dots, there are two main theoretical approachs. One involves substituting the quantum system with a random scattering matrix and performing appropriate ensemble averaging. The other…

Mathematical Physics · Physics 2013-11-21 G. Berkolaiko , J. Kuipers

A theoretical investigation of quantum-transport phenomena in mesoscopic systems is presented. In particular, a generalization to ``open systems'' of the well-known semiconductor Bloch equations is proposed. The presence of spatial boundary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Fausto Rossi , Aldo Di Carlo , Paolo Lugli

We study the distribution of the time-integrated current in an exactly-solvable toy model of heat conduction, both analytically and numerically. The simplicity of the model allows us to derive the full current large deviation function and…

Statistical Mechanics · Physics 2009-11-13 Pablo I. Hurtado , Pedro L. Garrido