1st: 2020-03-06: Budapest /// 2nd: 2020-09-22: Vienna - on Zoom /// 3rd: 2021-09-30: Budapest ///
4th: 2022-04-27: Vienna /// 5th: 2023-03-17: Budapest /// 6th: 2023-10-06: Vienna
Venue: Rényi Insitute Budapest
Outbound trains Wien Hbf --> Budapest Keleti: 07:40 - 10:19 /// 08:42 - 11:19 /// 09:40 - 12:19
Title: The Directed Landscape, KPZ universality, and a bijection to the Gaussian world via RSK
Abstract: The directed landscape is the conjectured scaling limit of planar first-passage percolation and serves as the central object in the Kardar-Parisi-Zhang (KPZ) universality class—a realm distinct from the Gaussian/Brownian universality class characterized by Brownian motion. Surprisingly, a measure-preserving bijection bridges these two worlds, arising as a limit of the Robinson-Schensted-Knuth (RSK) correspondence, a combinatorial tool first introduced in 1938. This talk explores the interplay between KPZ and Gaussian limits, leveraging the RSK framework to reveal deep connections between random growth processes and classical probability. Joint work with Duncan Dauvergne.
Title: A random polymer approach to the weak disorder phase of the Vertex Reinforced Jump Process
Abstract: The recurrence/transience of the Vertex Reinforced Jump Process (VRJP) can be caracterized by the asymptotic behavior of a key martingale : the VRJP is recurrent when the limit is null and transient when it is positive. Besides, that martingale can be written as the partition function of a non-directed polymer in a very specific 1-dependent potential. In this talk, I will explain some recent results about the L^p integrability of the martingale in the weak disorder phase, taking in particular inspiration from some work of Junk on directed polymers. Based on a joint work with Q. Berger, A. Legrand and R. Poudevigne-Auboiron.
Title: Coupled but distant
Abstract: We construct a coupling of two random walks in 4 dimensions such that with positive probability their traces never intersect. Joint work with Itai Benjamini.
After the seminar talks we will go out for dinner (going dutch) to Stifler beerhouse. If you plan to join please do inform the local organizers (Gábor and/or Bálint) about this by Monday, 26th of March.
Participants who wish to stay overnight in Budapest are kindly asked to make their own arrangements for accommodation.
Click here for hotels and hostels nearby.
The Rényi Institute is in the very centre of the city. Trains from Vienna arrive at Keleti Station (rather central) with an earlier stop at Kelenföld Station (not so central). The RI is easily accessible from either of these using public transport . Kelenföld is further out, but time-wise it could be faster to get off the train there and take the metro/underground (M4) or the tram (49) as indicated below.
Here is how to come to the RI using public transport:
From Kelenföld Railway Station