Mathematical Sciences Research Institute

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Integrable structures in random matrix theory and beyond October 18, 2021 - October 22, 2021
Registration Deadline: October 22, 2021 3 months from now
To apply for Funding you must register by: July 18, 2021 10 days ago
Parent Program:
Location: MSRI: Simons Auditorium
Organizers LEAD Jinho Baik (University of Michigan), Alexei Borodin (Massachusetts Institute of Technology), Tamara Grava (University of Bristol; International School for Advanced Studies (SISSA/ISAS)), Alexander Its (Indiana University--Purdue University), Sandrine Péché (Université de Paris VII (Denis Diderot))

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Image by Alexei Borodin.
This workshop will focus on the integrable aspect of random matrix theory and other related probability models such as random tilings, directed polymers, and interacting particle systems. The emphasis is on communicating diverse algebraic structures in these areas which allow the asymptotic analysis possible. Some of such structures are determinantal point processes, Toeplitz and Hankel determinants, Bethe ansatz, Yang-Baxter equation, Karlin-McGregor formula, Macdonald process, and stochastic six vertex model. Bibliography
Keywords and Mathematics Subject Classification (MSC)
  • Random matrix theory

  • Beta ensembles

  • Log- gases

  • Dyson Brownian motion

  • Non-normal matrices

  • Orthogonal polynomials

  • Hankel determinants

  • Toepliz determinants

  • Riemann-Hilbert problem

  • Biorthogonal ensembles

  • Airy process

  • Sine process

  • Determinantal point processes

  • Kardar-Parisi-Zhang universality

  • Asymmetric simple exclusion process

  • Random growth model

  • Interacting Particle Systems

  • random tilings

  • Gaussian free field

  • Directed polymer

  • Last passage percolation

  • Bethe ansatz

  • Six vertex model

  • Yang-Baxter equation

  • Arctic circle theorem

  • Tracy-Widom distribution

  • Stochastic partial differential equation

  • Stochastic heat equation

  • Stochastic Burgers equation

  • Integrable probability

  • Symmetric polynomials

  • Painleve transcendents

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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