Workshop on Random Matrices and Random Systems

March 31 - April 4, 2014

** All talks will take place in Simonyi Hall Seminar room

Monday 3/31
10 am – 11am Ofer Zeitouni, Univ Minnesota, Spectrum stablility for non-normal random matrices.

11 am -11:30 Coffee Break Simonyi classroom
11:30 – 12:30 pm Paul Bourgade, IAS, The eigenvector moment flow and applications
12:30 pm – 1:50 Lunch (IAS Dining Hall)
1:50-2:50 pm Denis Bernard, ENS, The open quantum Brownian motion: a random walk on quantum noise
3-4 pm Michael Walter, ETH, Random quantum marginals
4-4:45 pm Tea (Fuld Common Room)

Tuesday 4/1
10 – 11am Pierre Le Doussal, ENS, KPZ equation and directed polymers: exact results from the replica Bethe ansatz
11-11:30 coffee break Simonyi classroom
11:30 – 12:30 Reimer Kuehn, KCL, Spectra of Large Random Stochastic Matrices and relaxation in complex systems
12:30 – 1:50 Lunch (IAS Dining Hall)
1:50 2-2:50 Mariya Shcherbina, Kharkov, Universal approach to $\beta$-matrix models
3-4 Balint Virag, Univ Toronto, TBA
4-4:45 Tea (Fuld Common Room)

Wednesday 4/2
10-11am Elliott Lieb, Princeton Univ, Entropy bounds for reduced density matrices of fermionic states.
11-11:30 coffee break Simonyi classroom
11:30 – 12:30 Ivan Corwin, Columbia, Spectral theory for ASEP, XXZ and the (q,mu,nu)-Boson process
12:30 –1:50 Lunch (IAS Dining Hall)
1:50 -2:50 Maurice Duits, SU, Central Limit Theorems for linear statistics for biorthogonal ensembles
3-4 Timo Seppalainen, Univ Wisconsin, Variational formulas for directed polymer and percolation models on the plane
4-4:45 Tea (Fuld Common Room)
4:45-6:15 Discussion and Open problems

Thursday 4/3
10-11 Sylvia Serfaty, Univ Jussieu, Energy approach to Coulomb gases and log gases
11-11:30 coffee break Simonyi classroom
11:30- 12:30 Ashkan Nikeghbali, UZH, Some probabilistic ideas at the interface of random matrix theory and zeta functions
12:30 – 1:50 Lunch (IAS Dining Hall)
1:50 - 2:50 Van Vu, Yale, Some recent results and open problems on random matrices
3 - 4 Jun Yin, IAS, Applications of random matrix theory on PCA
4-4:45 Tea (Fuld Common Room)

Friday 4/4
10-11 Martin Hairer, IAS, The dynamical sine-Gordon model
11-11:30 coffee break Simonyi classroom
11:30 – 12:30 Herbert Spohn, IAS, Nonlinear fluctuating hydrodynamics in one dimension
12:30-2 Lunch (IAS Dining Hall)