P@W Summer School - Large Scale Universal Properties of Random Systems

The school will be held on 12-16 July 2027 at the University of Warwick (Coventry)

Lecturers

• Patricia GonçalvesLink opens in a new window, IST Lisbon (Portugal)
• Felix OttoLink opens in a new window, MPI Leipzig (Germany)
• Justin SalezLink opens in a new window, Université Paris-Dauphine (France)
• Perla SousiLink opens in a new window, University of Cambridge (UK)

Abstracts

• TBC (Patricia Gonçalves)

• TBC (Felix Otto)

• An invitation to the cutoff phenomenon (Justin Salez)

  The cutoff phenomenon is an abrupt transition from out of equilibrium to equilibrium undergone by certain Markov processes in the limit where the size of the state space tends to infinity: instead of decaying gradually over time, their distance to equilibrium remains close to its maximal value for a while and suddenly drops to zero as the time parameter reaches a critical threshold. Discovered four decades ago in the context of card shuffling, this surprising phenomenon has since then been observed in a variety of models, from random walks on groups and graphs to interacting particle systems and MCMC algorithms. It is now believed to be universal among fast-mixing high-dimensional processes. Yet, current proofs are heavily model-dependent, and identifying the general conditions that trigger a cutoff remains one of the biggest challenges in the quantitative analysis of Markov processes. The purpose of this mini-course is to provide a self-contained introduction to this fascinating question, and to describe a partial answer based on very recent joint works with Francesco Pedrotti.

• TBC (Perla Sousi)

Registration

Please use the link below to access the pre-registration form. Your registration will then be confirmed via email.

REGISTRATION PAGE

Registration will close on .

Schedule

All talks take place in Zeeman Building room B3.03Link opens in a new window at the University of Warwick, and refreshments in the common room. Click at the link below to access the schedule.

SCHEDULELink opens in a new window

Useful Information

Accommodation

We are unable to cover the accommodation costs for participants, but there are several affordable options on campus or nearby.

• Maths Houses, small houses on campus managed by the Mathematics department and comprising 3 separate bedrooms, kitchen and living room. In case you are interested, you need to indicate it (and who you would want to share it with) in the registration page and we will make the necessary arrangements. The accommodation in the Maths Houses is allocated on a first-come-first-served basis.
• Student Housing, these are on campus accommodation that are available off term. As for Maths houses, please specify in the registration form if you are interested to be considered.
• ScarmanLink opens in a new window and RadcliffeLink opens in a new window, hotels on campus.

For alternative off-campus accommodation, please check online travel platforms. For example, Kenilworth, Leamington Spa and Coventry are well-connected to the University using public transport and offer a good range of accommodation.

Travel to Campus

The School venue is the Zeeman BuildingLink opens in a new window at the University of Warwick which can be reached from

• Coventry, Leamington Spa or Kenilworth, there are buses running from these destinations to the University of Warwick. Details can be found using this link.Link opens in a new window
• Birmingham International (BHX) is the closest airport to the University. There is a train station within the airport from which regular trains to Coventry depart.
• London, for anyone arriving to London by plane or train, we recommend the following train routes:
  • London Euston to Coventry with Avanti Westcoast
  • London Euston to Canley with London Northwestern Railway 
  • London Marylebone to Leamington Spa with CrossCountry

For more information, check this linkLink opens in a new window.

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