Venue
Nordita, Stockholm, Sweden
Scope
The goal of this workshop is to gather researchers from the Stockholm and Helsinki areas, working in probability and mathematical physics.
Themes and preliminary program schedule
Thursday 28/11
13.15 - 14.00: Tuomo Kuusi
14.10 - 14.55: Nathan Hayford
14.55 - 15.20: Coffee break and discussion
15.20 - 16.05: Osama Abuzaid
16.15 - 17.00: Yunxiang Liao
17.30: Reception with dinner
Friday 29/11
09.15 - 10.00: Ellen Krusell
10.10 - 10.55: Alex Karrila
10.55 - 11.20: Coffee break and discussion
11.20 - 12.05: Daniel Ahlberg
12.15 - 13.00: Mikhail Basok
Invited speakers, titles and abstracts
Osama Abuzaid (Aalto University)
Title: Improving the topology in the large deviation principle for SLE variants
Abstract:
Daniel Ahlberg (Stockholm University)
Title: From stability to chaos in spatial growth models
Abstract: The notion of chaos was introduced by physicists in the 1980s to refer to the rapid decorrelation of a disordered system when exposed to a small perturbation. A framework for the study of small perturbations was introduced by Benjamini-Kalai-Schramm at the turn of the century, and a connection between anomalous fluctuation and a chaotic behaviour was discovered in later work of Chatterjee. In this talk we inform that in spatial growth models, such as first- and last-passage percolation, the order of perturbation at which the transition from stability to chaos occurs is determined by the fluctuations of the system.
Mikhail Basok (University of Helsinki)
Title:
Abstract:
Nathan Hayford (KTH)
Title: Critical phenomena in the 2-matrix model: the Ising model coupled to gravity
Abstract: The unitary invariant ensembles of random matrix theory (collectively referred to as the `1-matrix model’) are one of the central objects of study in the theory of random matrices. Upon tuning the parameters of this model, one can realize special critical phenomenon: objects such as correlation kernels the partition function under this tuning are expressible in terms of the Painlevé I and II hierarchies.
The 2-matrix model is an extension of the 1-matrix model, which came to be well-studied in part because it admits a much richer class of critical phenomena. In this talk, I will survey some of the conjectures regarding these critical phenomena from the physics literature, and discuss some of the physical implications of these results. In particular, I will discuss some forthcoming work (joint with Maurice Duits and Seung-Yeop Lee) regarding a special critical phenomenon in the 2-matrix model, which has implications in the theory of the Ising minimal model coupled to topological gravity.
Alex Karrila (Åbo Akademi)
Title: Planar UST Branches and c = -2 Degenerate Boundary Correlations
Abstract:
Ellen Krusell (KTH)
Title: The ρ-Loewner energy: large deviations, minimizers, and alternative descriptions
Abstract:
Tuomo Kuusi (University of Helsinki)
Title: Superdiffusion for Brownian motion with incompressible random drift
Abstract: I consider the long-time behavior of a diffusion process on~$\mathbb{R}^d$ advected by a stationary random vector field, which is assumed to be divergence-free, dihedrally symmetric in law, and have a log-correlated potential. A particular case is $\nabla^\perp$ of the Gaussian free field in two dimensions. We show that the system has quenched superdiffusive scaling. I will also discuss some recent and ongoing work on the theory of high-contrast homogenization. In the process, we have developed a renormalization procedure, which is expected to have applications in mathematical physics beyond this setting. This is a joint work with S. Armstrong and A. Bou-Rabee.
Yunxiang Liao (KTH)
Title: Random matrix theory in quantum thermalization
Abstract: Understanding thermalization in isolated quantum systems remains one of the most challenging unsolved problems in physics. The current theoretical framework for approaching this problem is the eigenstate thermalization hypothesis, which builds upon the random matrix theory (RMT). It is essentially a hypothesis about the statistical properties of energy eigenstates in the eigenbasis of physical observables, indicating the essential role of quantum chaos in thermalization. I will talk about the application of RMT in the thermalization of various Floquet random quantum circuit (RQC) models, focusing on the connection between relaxation behaviors and a special quantum chaos diagnostic – the spectral form factor. In particular, I will show fast relaxation in a family of RQCs that exhibit Wigner-Dyson energy level statistics, as well as a glassy, two-step relaxation in a special RQC, whose level statistics are neither Wigner-Dyson nor Poisson, but are instead analogous to those of the block Rosenzweig-Porter model.
Accommodation
Nordita has reserved a block of rooms at the following hotels:
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Elite Hotel Arcadia | 10 rooms for single use - For details and reserving a room, click here. Last day to book your room is 30th of October.
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Biz Apartment Gärdet | 10 Studio medium (for single or double use) - For reserving a room, contact at reservations@bizapartment.se. You can inform the hotel that you are making a reservation for the workshop by referring the code “NNMSFB”. Last day to book your room is 28th of October.
Nightly rate for studio medium - 1490 SEK/night incl. breakfast
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All reservations, payments, date adjustments and/or cancellations are to be made by the interested participant directly with the hotels.
Please be aware that scammers sometimes approach participants claiming to be able to provide accommodation and asking for credit card details. Do not give this information to them! If you are in any doubt about the legitimacy of an approach, please get in contact with the organizers.
Application/Registration
The workshop is free and open for anybody to attend, but please fill in the registration form.
Sponsored by:
