Statistical mechanics, integrability and dispersive hydrodynamics

Workshop theme

The overarching purpose of the workshop is to generate new collaborations between researchers working in experimental, computational and analytical aspects of nonlinear dispersive hydrodynamics, randomness and statistical mechanics. In particular, the workshop will focus on the growing field of integrable turbulence, which aims at combining the concepts of randomness and of integrability.

The workshop will be sampled from experimental approaches in optics and hydrodynamics through to theoretical and mathematical questions concerning integrable systems. The main topics will be the statistical description of integrable turbulence, kinetic theory, soliton gases, space-time correlations in integrable and non-integrable lattice systems, thermodynamic properties of random matrix ensembles and nonlinear dispersive systems, the use of inverse scattering transform with random initial data… These problems are of particular interest in the fields of nonlinear optics and of hydrodynamics. The central models discussed in this workshop will be integrable equations such as the one dimensional nonlinear Schrodinger or the Korteweg-de Vries equations. The analysis of non-integrable perturbations induced by high order terms is also a fundamental question.

We expect a balance of researchers from the experimental, computational, and analytical communities, all of whom are committed to considerable time for discussion, with a possibly smaller number of presentations that are designed to address the complementary groups.

Applications for this workshop are now closed

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation. Please see the Hotels Combined website for a list of local hotels and guesthouses

Meals

Lunch

Lunch will be held at Churchill College and timings will be confirmed with timetable.

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The formal dinner will be held at Robinson College on Wednesday 19th October.

The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event.

Timetable

Monday 17th October 2022
09:55 to 10:00	Christie Marr Isaac Newton Institute Welcome Talk	Room 1
10:00 to 11:00	Miguel Onorato Università degli Studi di Torino Chair: Gennady El Plenary Talk: A wave turbulence approach to anomalous conduction in the FPUT chain	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:00	Darryl Holm Imperial College London Chair: Gennady El Applying Kelvin’s circulation theorem in climate science	Room 1
14:00 to 14:30	Olalla Castro Alvaredo City University, London Chair: Pierre Suret Out-of-equilibrium Dynamics of Integrable Models in the Presence of Unstable Quasiparticles	Room 1
14:30 to 15:00	Takato Yoshimura University of Oxford Chair: Pierre Suret TTbar-deformed conformal field theories out of equilibrium	Room 1
15:00 to 15:30	Eric Vanden-Eijnden Courant Institute of Mathematical Sciences; New York University Chair: Pierre Suret Extreme events, tail statistics, and large deviation theory in fluid flows	Room 1
16:00 to 16:30	Evgenii Kuznetsov Lebedev Physical Institute; Landau Institute for Theoretical Physics Chair: Pierre Suret Nonlinear dynamics of slipping flows	Room 1
16:30 to 17:00	Davide Proment University of East Anglia Chair: Pierre Suret Equilibrium and nonequilibrium description of negative temperature states in a one-dimensional lattice using a wave kinetic approach	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 18th October 2022
09:00 to 10:00	Pierre van Moerbeke Université Catholique de Louvain Chair: Alex Tovbis Plenary Talk: Single versus double interlacing in random tiling models	Room 1
10:30 to 11:00	Antonio Moro Northumbria University Chair: Alex Tovbis Stochastic, deterministic and integrable aspects of random matrix theory	Room 1
11:00 to 11:30	Marta Dell'Atti University of Portsmouth Chair: Alex Tovbis Pfaffian lattice and Hydrodynamic chains	Room 1
11:30 to 12:00	Ken McLaughlin Tulane University Chair: Alex Tovbis Random matrices, random solitons, and random rational functions, and soliton gasses	Room 1
14:00 to 14:30	Thomas Trogdon University of Washington Chair: Benjamin Doyon On the Toda lattice with random matrix initial data	Room 1
14:30 to 15:00	Remy Dubertrand Northumbria University Chair: Benjamin Doyon Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices	Room 1
15:00 to 15:30	Constance Schober University of Central Florida Chair: Benjamin Doyon On the stabilization of breather -type solutions of the damped higher order nonlinear Schrödinger equation	Room 1
15:30 to 17:00	Afternoon Tea and Poster Session	Discussion Room

Wednesday 19th October 2022
09:00 to 10:00	Tamara Grava SISSA; University of Bristol Chair: Antonio Moro Plenary Talk: TBC	Room 1
10:30 to 11:00	Peter Miller University of Michigan Chair: Antonio Moro Dispersive Shock Waves in the Benjamin-Ono Equation	Room 1
11:00 to 11:30	Alexei Rybkin University of Alaska Fairbanks Chair: Antonio Moro A continuous analog of the binary Darboux transformation for the KdV equation	Room 1
11:30 to 12:00	Mattia Cafasso Université d'Angers Chair: Antonio Moro The finite temperature discrete Bessel kernel and integrable equations	Room 1

Thursday 20th October 2022
09:00 to 10:00	Herbert Spohn Technische Universität München Chair: Thibault Bonnemain Plenary Talk: The two hydrodynamic scales of the Toda lattice	Room 1
10:30 to 11:00	Benjamin Doyon King's College London Chair: Thibault Bonnemain Quantum modulation: first-principle derivations of the equations of generalised hydrodynamics in the Lieb-Liniger quantum gas.	Room 1
11:00 to 11:30	Vir Bulchandani Princeton University Chair: Thibault Bonnemain The Bethe-Lax correspondence	Room 1
11:30 to 12:00	Dmitry Agafontsev P.P. Shirshov Institute of Oceanology; Skolkovo Institute of Science and Technology (Skoltech) Chair: Thibault Bonnemain Bound-state soliton gas as a limit of adiabatically growing integrable turbulence	Room 1
14:00 to 14:30	Alexander Tovbis University of Central Florida Chair: Peter Miller On spectral theory of soliton and breather gases for integrable equations	Room 1
14:30 to 15:00	Thibault Congy Northumbria University Chair: Peter Miller Statistics of Extreme Events in Integrable Turbulence	Room 1
15:00 to 15:30	Thibault Bonnemain King's College London Chair: Peter Miller Generalised hydrodynamics of the KdV soliton gas.	Room 1
16:00 to 16:30	Eldad Bettelheim Hebrew University of Jerusalem Chair: Peter Miller The Whitham Approach to the c→0 limit of The Lieb-Liniger Model and Generalized Hydrodynamics	Room 1
16:30 to 17:00	Giacomo Roberti Northumbria University Chair: Peter Miller Numerical spectral synthesis of soliton and breather gases	Room 1

Friday 21st October 2022
09:00 to 10:00	Stephane Randoux Université des Sciences et Technologies de Lille Chair: Davide Proment Plenary Talk: From wave turbulence to integrable turbulence and soliton gas	Room 1
10:30 to 11:00	Nicolas Mordant Université Grenoble Alpes Chair: Davide Proment Experimental investigation of soliton gases in shallow water experiments in 1D and 2D	Room 1
11:00 to 11:30	Pierre Suret Université de Lille Chair: Davide Proment Soliton gas: optical fibers and water tank experiments	Room 1
11:30 to 12:00	Eric Falcon CNRS (Centre national de la recherche scientifique); Université Paris Cité Chair: Davide Proment Experimental nonlinear waves along a torus of fluid	Room 1
14:00 to 14:30	Sergei Turitsyn Aston University Chair: Annalisa Calini Asymmetric optical nonlinear pulses	Room 1
14:30 to 15:00	Andrey Gelash Université de Bourgogne; Skolkovo Institute of Science and Technology (Skoltech) Chair: Annalisa Calini Applications of numerical inverse and direct scattering transform in integrable turbulence studies	Room 1
15:00 to 15:30	Vincent Caudrelier University of Leeds Chair: Annalisa Calini Lagrangian multiforms: a variational criterion for integrability	Room 1
16:00 to 16:30	Peter Clarkson University of Kent Chair: Annalisa Calini Orthogonal Polynomials and Symmetric Sextic Freud weights	Room 1

Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

Statistical mechanics, integrability and dispersive hydrodynamics

Organisers

Thibault Bonnemain Northumbria University
Gennady El Northumbria University
Mark Hoefer University of Colorado Boulder
Antonio Moro Northumbria University
Pierre Suret Université des Sciences et Technologies de Lille

Speakers

Dmitry Agafontsev P.P. Shirshov Institute of Oceanology; Skolkovo Institute of Science and Technology (Skoltech)
Eldad Bettelheim Hebrew University of Jerusalem
Thibault Bonnemain King's College London
Vir Bulchandani Princeton University
Mattia Cafasso Université d'Angers
Olalla Castro Alvaredo City University, London
Vincent Caudrelier University of Leeds
Peter Clarkson University of Kent
Thibault Congy Northumbria University
Marta Dell'Atti University of Portsmouth
Benjamin Doyon King's College London
Remy Dubertrand Northumbria University
Eric Falcon CNRS (Centre national de la recherche scientifique); Université Paris Cité
Andrey Gelash Université de Bourgogne; Skolkovo Institute of Science and Technology (Skoltech)
Tamara Grava SISSA; University of Bristol
Darryl Holm Imperial College London
Evgenii Kuznetsov Lebedev Physical Institute; Landau Institute for Theoretical Physics
Christie Marr Isaac Newton Institute
Ken McLaughlin Tulane University
Peter Miller University of Michigan
Nicolas Mordant Université Grenoble Alpes
Antonio Moro Northumbria University
Miguel Onorato Università degli Studi di Torino
Davide Proment University of East Anglia
Stephane Randoux Université des Sciences et Technologies de Lille
Giacomo Roberti Northumbria University
Alexei Rybkin University of Alaska Fairbanks
Constance Schober University of Central Florida
Herbert Spohn Technische Universität München
Pierre Suret Université de Lille
Alexander Tovbis University of Central Florida
Thomas Trogdon University of Washington
Sergei Turitsyn Aston University
Pierre van Moerbeke Université Catholique de Louvain
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences; New York University
Takato Yoshimura University of Oxford

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Participants

Elena Agliari University of Rome La Sapienza; Università degli Studi di Roma La Sapienza
Russell Arnold UNC Chapel Hill and RIMS
Adriano Barra Università del Salento
Sylvie Benzoni-Gavage Université Claude Bernard Lyon 1; Institut Henri Poincaré
Eldad Bettelheim Hebrew University of Jerusalem
Deniz Bilman University of Cincinnati
Gino Biondini University at Buffalo
Thibault Bonnemain King's College London
Thomas Bridges University of Surrey
Vir Bulchandani Princeton University
Mattia Cafasso Université d'Angers
Annalisa Calini College of Charleston
Roberto Camassa University of North Carolina
Henry Carr Northumbria University
Olalla Castro Alvaredo City University, London
Vincent Caudrelier University of Leeds
Peter Clarkson University of Kent
Thibault Congy Northumbria University
Francois Copie
Francesco Coppini Northumbria University; Università degli Studi di Roma La Sapienza
Giovanni De Matteis Università del Salento; Northumbria University
Marta Dell'Atti University of Portsmouth
Praveen Kumar Dhankar Rashtrasant Tukadoji Maharaj Nagpur University
Benjamin Doyon King's College London
Remy Dubertrand Northumbria University
Gennady El Northumbria University
Gavin Esler University College London
Loic Fache Université de Lille
Eric Falcon CNRS (Centre national de la recherche scientifique); Université Paris Cité
Andrey Gelash Université de Bourgogne; Skolkovo Institute of Science and Technology (Skoltech)
Francesco Giglio University of Glasgow
Manuela Girotti Saint Mary's University; Concordia University
Tamara Grava SISSA; University of Bristol
Mariana Haragus Université de Franche-Comté
Mark Hoefer University of Colorado Boulder
Darryl Holm Imperial College London
Andrew Hone University of Kent
Robert Jenkins University of Central Florida
Ted Johnson University College London
David Ketcheson King Abdullah University of Science and Technology (KAUST)
Eduardo Khamis INPE - Instituto Nacional de Pesquisas Espaciais
Eugene Kogan Bar-Ilan University
Evgenii Kuznetsov Lebedev Physical Institute; Landau Institute for Theoretical Physics
Thibault Leduque Université Grenoble Alpes
Sara Lombardo Loughborough University
Pavel Lushnikov University of New Mexico; Landau Institute for Theoretical Physics
Guido Mazzucca KTH Stockholm
Ken McLaughlin Tulane University
Peter Miller University of Michigan
Nicolas Mordant Université Grenoble Alpes
Antonio Moro Northumbria University
Pascal Noble Université de Toulouse
Miguel Onorato Università degli Studi di Torino
Giuseppe Orsatti SISSA
Demetrios Papageorgiou Imperial College London
Emilian I Parau University of East Anglia
Maxim Pavlov Lebedev Physical Institute
Beatrice Pelloni Heriot-Watt University
Barbara Prinari University at Buffalo
Davide Proment University of East Anglia
Stephane Randoux Université des Sciences et Technologies de Lille
Antoine Remond-Tiedrez University of Cambridge
Giacomo Roberti Northumbria University
L. Miguel Rodrigues Université de Rennes 1
Paola Ruggiero King's College London
Alexei Rybkin University of Alaska Fairbanks
Hayder Salman University of East Anglia
Constance Schober University of Central Florida
Denis Silantyev University of Colorado Colorado Springs
Herbert Spohn Technische Universität München
Patrick Sprenger University of Cambridge
Pierre Suret Université de Lille
Alexander Tovbis University of Central Florida
Olga Trichtchenko University of Western Ontario
Thomas Trogdon University of Washington
Sergei Turitsyn Aston University
José Manuel Valdovinos Barrera Universidad Nacional Autonoma de Mexico (UNAM)
Eric Vanden-Eijnden Courant Institute of Mathematical Sciences; New York University
Jani Virtanen University of Reading; University of Helsinki
Takato Yoshimura University of Oxford