Scientific Organisers
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Daniel Kious, University of Bath
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Pierre-François Rodriguez , Imperial College London
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Bruno Schapira , Université Aix-Marseille
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Perla Sousi , University of Cambridge
About:
The purpose of this conference is to bring together researchers working on random walks, correlated percolation models, mixing and cutoff, in order to foster interaction and collaboration and to identify interesting future directions for research. There has been a lot of progress recently in these three areas of research and major breakthrough results were possible due to cross fertilisation of ideas between fields.
The conference will have a light programme and will provide a lot of time for open problem sessions, discussions and collaboration.
Invited participants were sent email invites by ICMS in December 2024.
Resources
Programme
| MONDAY 9 JUNE 2025 | |||
| 9.15 – 10.10 | Registration and Refreshments | ||
| 10.10 – 10.20 | Welcome and Housekeeping | ||
| 10.20 – 11.10 | Omer Angel, University of British Columbia | ||
| 11.10 – 11.40 | Refreshments | ||
| 11.40 – 12.30 | Alexander Fribergh, Université de Montréal | Biased random walks on percolation clusters | |
| 12.30 – 14.00 | Lunch | ||
| 14.00 – 14.50 | Antoine Jego, CNRS, Université Paris Dauphine | Crossing exponent of the Brownian loop soup | |
| 14.50 – 15.40 | Tianyi Bai, Chinese Academy of Sciences | On central limit theorem for the range of critical BRW in high dimensions |
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| 15.40 – 16.10 | Refreshments | ||
| 16.10 – 17.00 | Maximilian Nitzschner, The Hong Kong University of Science & Technology | ||
| 17.00 – 18.00 | Welcome Reception, hosted at ICMS | ||
| TUESDAY 10 JUNE 2025 | |||
| 9.30 – 10.20 | David Croydon, Kyoto University | Cover times of random walks on some special trees | |
| 10.20 – 11.10 | Oriane Blondel, CNRS - Université Lyon 1 | Random Markov Property for RWDRE | |
| 11.10 – 11.40 | Refreshments | ||
| 11.40 – 12.30 | Romain Panis, Institut Camille Jordan - Lyon 1 | The scaling limit of the high-dimensional Ising model is the Gaussian free field |
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| 12.30 – 14.00 | Lunch | ||
| 14.00 – 14.50 | Wendelin Werner, Cambridge University | ||
| 14.50 – 15.40 | Pierre Tarrès, NYU Shanghai | ||
| 15.40 – 16.10 | Refreshments | ||
| 16.10 – 17.00 | Titus Lupu, CNRS & Sorbonne Université | Height gap of the planar Brownian motion |
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| WEDNESDAY 11 JUNE 2025 | |||
| 9.30 – 10.20 | Ofer Zeitouni, Weizmann institute | Intersection estimates for planar walks, random polymers and branching random walks | |
| 10.20 – 11.10 | Subhajit Goswami, Tata Institute of Fundamental Research | Strong local uniqueness for the vacant set of random interlacements | |
| 11.10 – 11.40 | Refreshments | ||
| 11.40 – 12.30 | Cécile Mailler, University of Bath | Localisation and non-localisation regimes for the catalytic branching random walk |
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| 12.30 – 14.00 | Group photo then lunch and free afternoon |
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| THURSDAY 12 JUNE 2025 | |||
| 9.30 – 10.20 | Marek Biskup, UCLA | Random walks among derandomized conductances (likely subject to change but in this topic area) |
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| 10.20 – 11.10 | Augusto Teixeira, IMPA | ||
| 11.10 – 11.40 | Refreshments | ||
| 11.40 – 12.30 | Xinyi Li, Peking University | Analyticity of 3D Brownian intersection exponents | |
| 12.30 – 14.00 | Lunch | ||
| 14.00 – 14.50 | Christophe Sabot, Université Lyon 1 | ||
| 14.50 – 15.40 | Vittoria Silvestri, University of Rome La Sapienza | ||
| 15.40 – 16.10 | Refreshments | ||
| 16.10 – 17.00 | Franco Severo, Université Lyon 1 | Cutsets, percolation and random walks | |
| 19.00 | Workshop Dinner, hosted at St Leonard’s Hall | ||
| FRIDAY 13 JUNE 2025 | |||
| 9.30 – 10.20 | Amine Asselah, Paris-Est Créteil | Internal DLA made of Branching Random Walks |
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| 10.20 – 11.10 | Alexis Prévost, Université de Genève | ||
| 11.10 – 11.40 | Refreshments | ||
| 11.40 – 12.30 | Ellen Powell, Durham University | Local times of planar Brownian motion |
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| 12.30 – 14.00 | Lunch and end of workshop |
