Statistical Mechanics and Non Equilibrium Processes

Thematic Periods

Thematic Program: February 1 - July 15, 2025

More than 50 years after the first works on its rigorous foundations, statistical mechanics continues to be an evergreen source of inspiration for profound mathematical problems and ideas. Widely open and challenging, the investigation of nonequilibrium processes of a physico-statistical nature includes the description of random effects and the development of new probabilistic and analytic methods.

This thematic program aims to combine the expertise from different scientific and mathematical areas, addressing some of the key questions in the field, including the following areas:

Kinetic theory
Random geometric structures
Interacting particle systems
Quantum Markov semigroups
Transport in topological materials

The program will include an introductory winter school and several workshops. For further information concerning these events, please see the links below to the corresponding websites.

The program will be followed, in Fall 2025, by the thematic period on Data Science (information will be available here).

Program subscription

The online application platform to participate in this program is open until March 1, 2025.

Partial financial support is available for young participants.

To participate in this thematic program, please click in the registration link or contact one of the local coordinators. If you are attending the winter school only, or the workshops only, you do not need to fill in this form: please register through the website of the specific event.

Information

Venue and practical information ( link )

School

Winter school on Statistical Mechanics, Nonequilibrium Processes and ProbabilityDate: february 17-28, 2025
Venue: room Picone (Feb 17-25) and Sala di Consiglio (Feb 26-28)
Lecturers: K. Aoki (National Cheng Kung University & Kyoto University), A.Bovier (IAM Bonn), E. Carlen (Rutgers University), P. Dario (University of Paris-Est Créteil), S. Jansen (Ludwig Maximilian University), E. Löcherbach (University of Paris 1), A. Nota (University of L'Aquila), G. Parisi (Sapienza University), B. Schlein (University of Zurich), F. Toninelli (Technical University of Vienna)Abstract: The school will precede and inaugurate the scientific period and will be devoted to several topics, the common substrate being the investigation of equilibrium and nonequilibrium phenomena and of statistical physics models, with rigorous mathematical methods. Our goal is to expand knowledge in these areas, by presenting current research directions at an introductory level and aimed at students and young researchers, and by fostering new lines of collaborative research. The school will include short talk sessions for early postdocs and PhD students.Web Site: link
Organizers: Giada Basile, Alessandra Faggionato, Vittoria Silvestri, Sergio Simonella, Lorenzo Taggi

Workshops

Stochastic Equations and Particle Systems

Date: April 7 - 9 2025Venue: INdAM Lecturers (preliminary list): Benoit Dagallier, Arnaud Debussche, Benjamin Gess, Davide Gabrielli, Patrícia Gonçalves, Kirone Mallick, Jean-Christophe Mourrat, Max von Renesse, Marco Romito, Karl-Theodor Sturm, Xue-Mei Li, Neil O'Connell, Lorenzo Zambotti Abstract: Stochastic processes with spatial structure have become a standard modeling tool. From a mathematical viewpoint, these processes can be realized either as solutions to stochastic partial differential equations or as interacting particles systems. The aim of the workshop is to bring the two communities together to promote fruitful idea exchanges.Web Site: https://www1.mat.uniroma1.it/people/bertini/seps/Organizers: Lorenzo Bertini, Lorenzo Dello Schiavo, Giacomo di Gesù, Gianni Jona-LasinioCo-sponsored by: Progetto di Ricerca Sapienza 2023 RG123188B4160E47 "Mathematical models in statistical physics"

Kinetic Limits and Probability

Date: June 9 - 13 2025Lecturers: Luisa Andreis, Dario Benedetto, Matthias Erbar, Marina Ferreira, Giovanni Gallavotti, Maria Pia Gualdani, Zaher Hani, Lingbing He, Daniel Heydecker, Amélie Loher, Peter Madsen, Rossana Marra, Nader Masmoudi, Karsten Matthies, Sara Merino Aceituno, Mario Pulvirenti, Barbara Rüdiger, Chiara Saffirio, Florian Theil, Minh-Binh Tran, Aleksis Vuoksenmaa, Bernt Wennberg, Raphael Winter Abstract: The aim of the workshop is to gather together prominent scientists and young researchers, promoting the exchange of ideas around the relations between small and large scales, focusing on interacting particle systems and applications of such topics of recent interest. On the occasion of the workshop, we would like to commemorate the contribution of Oscar Lanford, coinciding with the 50th anniversary of the publication of his work on the validity of the Boltzmann equation.Web Site: https://sites.google.com/uniroma1.it/klpOrganizers: Giada Basile, Amit Einav, Isabelle Gallagher, Jani Lukkarinen, Sergio Simonella

Topological Transport and Magnetic Matter

Date: June 16 - 20 2025Lecturers: Giuliano Angelone, Eric Cancés, Horia Cornean, Dimitrie Culcer, Emanuela Giacomelli, David Gontier, Giovanna Marcelli, Antimo Marrazzo, Massimo Moscolari, Gabriele Peluso, Hermann Schulz-Baldes, Jacob Shapiro, Kasper Studsgaard Sørensen, Clément Tauber, Stefan Teufel, Guo Chuan ThiangAbstract: The focus of the workshop will be on the topics of interest for the research unit in mathematical quantum physics at Sapienza Università di Roma, which include topological matter, quantum transport, adiabatic theory and phenomena in magnetic materials. The event will bring together established as well as young researchers in theoretical, experimental and mathematical physics, in order to present the latest results in the topics mentioned above and to formulate new challenges for mathematicians and theoreticians stimulated by condensed matter experiments.Web Site: https://sites.google.com/view/dmonaco/prin-2022/topological-transport-and-magnetic-matter Organizers: Chiara Boccato, Domenico Monaco, Gianluca PanatiCo-sponsored by: PRIN 2022AKRC5P "Interacting Quantum Systems: Topological Phenomena and Effective Theories"

Random Geometric Structures and Statistical Physics

Date: June 30 - July 4 2025Lecturers (preliminary list): Amine Asselah, Luca Avena, Alberto Chiarini, Alessandra Cipriani, Barbara Dembin, Nicolas Forien, Davide Gabrielli, Nina Gantert, Alessandro Giuliani, Alexander Glazman, Markus Heydenreich, Wolfgang König, Marcin Lis, Sébastien Ott, Artem Sapoznikov, Franco Severo, Perla Sousi, Alexandre Stauffer, Wei Wu, Ariel Yadin. Abstract: The aim of the workshop is to gather researchers working in various areas of probability (percolation, growth processes, random walks and interacting particle systems on random graphs, statistical mechanics, etc.) to present recent progress and discuss new research directions. Web Site: https://sites.google.com/view/random-geometric-structures/home?pli=1Organizers: Alessandra Faggionato, Vittoria Silvestri, Lorenzo Taggi

Courses

Mini-course: Massive particle systems, Wasserstein Brownian motions, and the Dean–Kawasaki equation

Dates and Timetable: April 2 at 16:00 and April 10 at 14:30, 2025 Lecturer: Lorenzo Dello Schiavo (Tor Vergata University, Rome)

Venue: Room L

Abstract: Let W be a conservative, ergodic Markov diffusion on some arbitrary state space M, converging exponentially fast to equilibrium. We consider: (1) Systems of up to countably many massive particles in M, with finite total mass. Each particle is subject to an independent instance of the noise W, with volatility the inverse mass carried by the particle. We prove that the corresponding infinite system of SDEs has a unique solution, for every starting configuration and every distribution of the masses in the infinite simplex. (2) Solutions to the Dean-Kawasaki SPDE with singular drift, driven by the generator L of W. We prove that the equation may be given rigorous meaning on M, and that it has a unique "distributional" solution. This extends Konarovskyi-Lehmann-von Renesse's "ill-posedness vs. triviality" to the case of infinitely many massive particles. (3) Diffusions with values in the space P of all probability measures on M, driven by the geometry induced by L. (4) In the case when M is a manifold, differential-geometric and metric-measure Brownian motions on P induced by the geometry of optimal transportation and reversible for a normalized completely random measure. We show that all these objects coincide. The first talk will survey general aspects of the constructions, mostly focussing on (1) and (3). The second talk will focus on (2) and explain its relations with known results about the Dean–Kawasaki equation.

Doctoral course: Modern Non-Equilibrium Statistical Mechanics

Date: April-May, 2025 Lecturer: Vojkan Jakšić (Mc Gill University, Montreal)

Timetable and Venue: Part I. April

Thursday 3, 12:00-13:30 Sala di Consiglio & 15:30-17:00 room L

Friday 4, 12:00-13:30 Sala di Consiglio & 15:00-16:30 Sala di Consiglio

Part II. April

Monday 7, 10:00-13:00 Sala di Consiglio

Part III. May

Wednesday 14, 16:00-17:30

Thursday 15, 12:00-13:30 and 15:30-17:00

Friday 16, 12:00-13:30

Program: see link

Doctoral mini-course: Nonequilibrium fluctuations

Date: April-May, 2025

Lecturer: Claudio Landim (IMPA)

Timetable and Venue: Monday 28 April, 16:00-18:00 Sala di Consiglio

Wednesday 30 April, 16:00-18:00 Sala di Consiglio

Tuesday 13 May, 14:00-16:00 room L

Doctoral course: Schrödinger's problem

Date: May, 2025

Lecturer: Christian Léonard (Paris Nanterre)

Timetable and Venue: Monday 5, 16:00-18:00 Sala di Consiglio

Thursday 8, 14:30-16:30 room L

Friday 9, 14:30-16:30 Sala di Consiglio

Monday 12, 16:00-18:00 Sala di Consiglio

Lecture Notes: see link

Doctoral course: Chaos and integrability in open and driven quantum many-body systems

Date: June 3 - 6, 2025 Lecturer: Tomaž Prosen (University of Ljubljana)

Timetable: 11:00-13:00, from June 3 to June 6 (four lectures)

Venue: Sala di Consiglio

Slides: Lecture 1, Lectures 2-3-4

Abstract: The course will be on recent developments in open quantum many-body systems and dynamics of driven (Floquet) lattice systems. It will be divided into four lectures. In the first lecture, I will discuss empirical diagnostics of quantum chaos of open quantum systems and present tenfold way of symmetry classification of the corresponding Liouvillians. In the second lecture, I will discuss Yang-Baxter integrability of open quantum systems and present some simple examples. In the third lecture, I will focus on exactly solvable steady states of boundary driven open spin chains and algebraic aspects of the underlying matrix product states. In the fourth lecture, I will introduce integrable spin lattice models in discrete space-time (integrable quantum circuits) with the corresponding unitary integrability structures in discrete time domain, and present some interesting conjectures on anomalous transport and anomalous fluctuations in these systems.

Seminar Series

Special Lectures

Self-repellent branching random walks

Date: February, Wednesday 19, 2025 Lecturer: Anton Bovier (IAM Bonn)

Timetable and Venue: 11:00-12:00 Aula Picone

Spin glasses

Date: February, Wednesday 26, 2025 Lecturer: Giorgio Parisi (Sapienza University)

Timetable and Venue: 11:30-12:30 Aula Picone

Friction and irreversibility in equations on macroscopically irreversible phenomena

Date: June, Wednesday 11, 2025 Lecturer: Giovanni Gallavotti (Sapienza University)

Timetable and Venue: 11:00-12:00 Aula Picone

Visitors

Prof. Eric Carlen

Rutgers University

Visiting from 14/02/2025 to 16/03/2025 (link)

Host Professor: Prof. Emanuele Caglioti

Prof. Fraydoun Rezakhanlou

University of California

Visiting from 20/03/2025 to 20/04/2025 (link)

Host Professor: Prof.ssa Giada Basile

Prof. Vojkan Jaksic

McGill University, Montreal (CA)

Visiting from 01/04/2025 to 01/05/2025

Host Professor: Prof. Gianluca Panati

Prof. Landim Claudio

Instituto de Matemàtica Pura e Aplicada, Brasil

Visiting from 26/04/2025 to 09/05/2025

Host Professor: Prof. Giacomo Di Gesù

Prof. Tomaž Prosen

University of Ljubljana, Slovenia

Visiting from 02/06/2025 to 14/06/2025

Host Professor: Prof. Carlo Presilla

Prof. François Golse

École polytechnique, France

Visiting from 03/06/2025 to 11/07/2025

Host Professor: Prof. Sergio Simonella

Participants

Riccardo Adami - Politecnico di Torino

Luisa Andreis - Politecnico di Milano

Giuliano Angelone – Sapienza University

Kazuo Aoki - National Cheng Kung University & Kyoto University

Amine Asselah - Université Paris-Est Créteil

Luca Avena - University of Florence

Giada Basile - Sapienza University

Giacomo Basso – Sapienza University

Jonathan Ben-Artzi - Cardiff University

Dario Benedetto - Sapienza University

Lorenzo Bertini - Sapienza University

Chiara Boccato - University of Pisa

Luigi Marcello Borasi – University of Wuppertal

Anton Bovier - IAM Bonn

Paolo Buttà - Sapienza University

Paul Cahen – Claude Bernard University Lyon 1

Fabrizio Caragiulo – SISSA

Maria Concetta Campailla – Sapienza University

José A. Cañizo - University of Granada

Eric Carlen - Rutgers University

Alberto Chiarini – University of Padua

Giorgio Cipolloni - University of Arizona

Alessandra Cipriani - University College London

Nicolas Clozeau - University of Toulon

Marco Colasanti – Sapienza University

Federico Cornalba - University of Bath

Horia Cornean – Aalborg University

Beatriz Costa Salvador – Instituto Superior Técnico

Dimitrie Culcer – University of New South Wales

Hugo Da Cunha – University of Lyon 1, CNRS

Benoit Dagallier - University Paris-Dauphine

Paul Dario - University of Paris-Est Créteil

Lorenzo Dello Schiavo - Tor Vergata University

Arnaud Debussche - ENS Rennes

Barbara Dembin - ETH Zurich

Théophile Dolmaire – University of L’Aquila

Jean-Dominique Deuschel – TU Berlin

Giacomo di Gesù - Sapienza University

Amit Einav - Durham University

Matthias Erbar - University of Bielefeld

Simone Fabbri – SISSA

Marina Ferreira – University of Toulouse

Margherita Ferrero – LMU Munich

Nicolas Forien - University Paris-Dauphine

Fabio Frommer – University of Mainz

Davide Gabrielli - University of L'Aquila

Isabelle Gallagher - ENS Paris

Giovanni Gallavotti - Sapienza University

Nina Gantert – Technical University of Munich

Pierre Germain - Imperial College

Benjamin Gess - Technical University of Berlin

Emanuela Giacomelli – University of Milan

Alessandro Giuliani – Roma Tre University

Alexander Glazman - University of Innsbruck

François Golse - Ecole Polytechnique

Gaspard Gomez – École Normale Supérieure Paris

Patricia Gonçalves - IST Lisboa

David Gontier – École des Ponts ParisTech

Gian Michele Graf - ETH Zurich

Francesco Grotto - University of Pisa

Maria Pia Gualdani - University of Texas Austin

Zaher Hani - University of Michigan

Lingbing He - Tsinghua University

Anderson Melchor Hernandez – University of Bologna

Daniel Heydecker - Max Planck Institute Leipzig

Markus Heydenreich - University of Augsburg

Federica Iacovissi – University of L’Aquila

Vojkan Jaksic - Mc Gill University

Sabine Jansen - Ludwig Maximilian University

Gianni Jona-Lasinio - Sapienza University

Wolfgang König – WIAS / TU Berlin

Angeliki Koutsimpela – University of Augsburg

Sefika Kuzgun – Max Planck Institute

Chun Yin Lam – University of Ulm

Claudio Landim - Instituto de Matemàtica Pura e Aplicada

Christian Léonard - Université Paris Nanterre

Xue-Mei Li - EPFL & Imperial College

Marcin Lis - Technical University of Vienna

Amélie Loher - University of Cambridge

Jani Lukkarinen - University of Helsinki

Yue Luo – Tsinghua University

Eva Löcherbach - University of Paris 1

Anna Macaluso – University of Parma

Peter Madsen - Ludwig Maximilian University

Kirone Mallick - IPhT CEA Saclay

Stefano Marcantoni – Côte d’Azur University

Giovanna Marcelli – Roma Tre University

Vlad Mărgărint - University of North Carolina

Elisa Marini – Paris Dauphine University-PSL

Rossana Marra - Tor Vergata University

Antimo Marrazzo – SISSA

Nader Masmoudi - Courant Institute

Karsten Matthies - University of Bath

Sara Merino Aceituno - University of Vienna

Jakob Möller – École Polytechnique Paris / WPI Vienna

Domenico Monaco - Sapienza University

Riccardo Montalto - University of Milan

Umberto Morellini – University of Pisa

Jean-Christophe Mourrat - ENS Lyon

Diwakar Naidu – University of Milan

Jan Philipp Neumann – Ludwig Maximilian University of Munich

Ngoc Nhi Nguyen – University of Milan

Alessia Nota - University of L'Aquila

Neil O'Connell - University College Dublin

Alessandro Olgiati - Politecnico di Milano

Sébastien Ott – EPFL Lausanne

Michela Ottobre - Heriot-Watt University

Gianluca Panati - Sapienza University

Giorgio Parisi - Sapienza University

Giacomo Passuello – University of Padua

Gabriele Peluso – Sapienza University

Chiara Pezzotti – Sapienza University

Michela Procesi - Roma Tre University

Tomaž Prosen - University of Ljubljana

Mario Pulvirenti - Sapienza University

Bruno Renzi – SISSA

Fraydoun Rezakhanlou - University of California

Paolo Rinaldi – University of Pavia

Vincenzo Rossi – GSSI

Stefano Rossi – ETH Zurich

Barbara Rüdiger - University Wuppertal

Vishnu Sanjay – Gran Sasso Science Institute

Chiara Saffirio - University of British Columbia

Artem Sapozhnikov - University of Leipzig

Makiko Sasada - University of Tokyo

Max Sauerbrey - Max Planck Institute Leipzig

Benjamin Schlein - University of Zurich

Hermann Schulz-Baldes – FAU Erlangen-Nürnberg

Giuseppe Scola – University of Calabria

Franco Severo – Institut Camille Jordan, Lyon 1

Jacob Shapiro – Princeton University

Perla Sousi - University of Cambridge

Gigliola Staffilani - MIT

Alexandre Stauffer - King's College London

Kasper Studsgaard Sørensen – Aalborg University

Clément Tauber – Paris Dauphine University

Niccolò Tassi – University of Granada

Stefan Teufel – University of Tübingen

Florian Theil - University of Warwick

Guo Chuan Thiang – BICMR

Mikkel Hviid Thorn – Aalborg University

Cristina Toninelli - CNRS & Paris-Dauphine

Fabio Toninelli - Technical University of Vienna

Minh-Binh Tran - Texas A&M University

Juan Velázquez - IAM Bonn

Max von Renesse - University of Leipzig

Marco Romito - University of Pisa

Alexandre Stauffer – King’s College London

Karl-Theodor Sturm - Bonn University

Angelo Vulpiano - Sapienza University

Aleksis Vuoksenmaa - University of Helsinki

Marius Wesle – University of Tübingen

Siliang Weng – KIT Karlsruhe

Bernt Wennberg - University of Gothenburg

Raphael Winter - Cardiff University

Wei Wu - NYU Shanghai

Ariel Yadin - Ben Gurion University

Lorenzo Zambotti - Sorbonne University

Poster

Calendar

For a complete list of the activities, please click the calendar link.

Scientific advisory board

Anna De Masi - University of L'Aquila

Nina Gantert - Technical University of Munich

Giovanni Jona-Lasinio - Sapienza University

Mario Pulvirenti - Sapienza University

Laure Saint-Raimond - Institut des Hautes Études Scientifiques

Herbert Spohn - Technical University of Munich

Local coordinators

Giada Basile

Alessandra Faggionato

Vittoria Silvestri

Sergio Simonella

Lorenzo Taggi