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Statistics of extreme and singular events in spatially extended systems

11 - 15 July 2016
Organisers: Sergey Nazarenko, Jason Laurie, Colm Connaughton

Scientific Scope

Many spatially extended systems in the natural sciences can be modelled with nonlinear equations which form singularities in finite time. Examples include the nonlinear Schrodinger equation (nonlinear optics, Bose-Einstein condensates, surface water waves), the inviscid Burgers’ equation (acoustics, toy models of traffic flow) and possibly the Euler equations (fluid dynamics). Singularities are usually tamed by the addition of regularising terms which are often
dissipative in origin such as viscosity. However when dissipation is weak, as often occurs in practice, “near-singularities” can occur in which one gets very close to a singular configuration before the dissipative terms become large enough to arrest the formation of the singularity. When stochastic forcing is present, such near-singularities often manifest themselves
as coherent structures which seem to emerge from the noise to produce extreme fluctuations which can deviate significantly from the background level of fluctuation. This can impact strongly on the statistical properties of the system even if such events occur rarely.

This workshop will focus on the connections between singularities of field equations or kinetic equations and statistical characteristics such as power spectra, structure functions and probabilities of extreme fluctuations. Topics will include the connections between near-singularities and multiscaling, mechanisms for generating heavy tailed distributions
of physical observables in nonlinear systems, relationships between singularities of kinetic equations and nonequilibrium phase transitions, interplay between near-singular events, extreme events and optimal fluctuations.

Invited speakers include

Jérémie Bec (Nice)
Umberto Bortolozzo (Nice)
Wouter Bos (Lyon)
Marc Brachet (ENS Paris)
Miguel Bustamante (University College Dublin)
Bérengère Dubrulle (CNRS)
Miguel Escobedo (EHU, Bilbao)
Eric Falcon (Paris Diderot)
Grisha Falkovich (Weizmann)
Stéphan Fauve (ENS Paris)
Rainer Grauer (Ruhr-Universität Bochum)
Vladimir Grebenev (Novosibirsk)
Christophe Josserand (Paris VI)
Bob Kerr (Warwick)
Giorgio Krstulovic (Nice)
Evgenii Kuznetsov (Landau)
Vladimir Lebedev (Landau)
Sergey Medvedev (Novosibirsk)
Pablo Mininni (Buenos Aires)
Keith Moffatt (Cambridge)
Nicolas Mordant (Grenoble)
Alan Newell (Arizona)
Miguel Onorato (Torino)
Efim Pelinovsky (Nizhny Novgorod)
Yves Pomeau (ENS Paris)
Annick Pouquet (NCAR)
Davide Proment (University of East Anglia)
Stefania Residori (Nice)
Tobias Schäfer (City University of New York)
Michael Shats (Canberra)
Vishwanath Shukla (ENS Paris)
Misha Stepanov (Arizona)
Pierre Suret (Lille)
Sergei Turitsyn (Aston)
Vladimir Zakharov (Arizona)


Provisional programme is available here (still subject to revision).


All Warwick EPSRC Mathematics Symposium workshops are open to all interested parties within the mathematical sciences community in the UK and internationally, both in academia and, where appropriate, in industry.

There is no registration fee for this workshop although all prospective participants are required to register here (scroll down until you find the link for this workshop).

Registration deadline is Friday 10 June 2016.

The total number of participants may be limited by room capacity. In the event that the workshop is over-subscribed, the organisers will use their discretion when issuing invitations.

Logistical information and financial support

The meeting will take place in the Zeeman Building at the University of Warwick. Information about Warwick and how to get here can be found in the links on the right.

The EPSRC has provided limited funds to support the travel and accommodation expenses of workshop participants. We expect visitors to cover travel and accommodation expenses from their own grants whenever reasonable to do so. Financial support can be requested during the registration process.

For further information contact Sergey Nazarenko (

Aerial photograph of Maths Houses

See also:
Mathematics Research Centre
Mathematical Interdisciplinary Research at Warwick (MIR@W)
Past Events 
Past Symposia 

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Mathematics Research Centre
Zeeman Building
University of Warwick
Coventry CV4 7AL - UK