RANDOM MATRIX
October 28, 2020 2:00 pmFrom the viewpoint of spin glass theory, restricted Boltzmann machines represent a veritable challenge, as to the lack of convexity prevents us to use Guerra's bounds. Therefore even the replica symmetric approximation for the free energy presents some challenges. I will...
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RANDOM MATRIX
October 14, 2020 2:00 pmThe Thouless-Anderson-Palmer (TAP) approach to the Sherrington-Kirkpatrick mean field spin glass model was proposed in one of the earliest papers on this model. Since then it has complemented subsequently elaborated...
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RANDOM MATRIX
September 9, 2020 2:00 pmI discuss the fluctuations of individual eigenvalues of the adjacency matrix of the Erdös-Rényi graph $G(N,p)$. I show that if $N^{-1}\ll p \ll N^{-2/3}, then all nontrivial eigenvalues away from...
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RANDOM MATRIX
May 20, 2020 2:00 pmStarting from the classical Curie-Weiss model in statistical mechanics, we will consider more general Ising models. On the one hand, we introduce a block structure, i.e. a model of spins...
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RANDOM MATRIX
May 13, 2020 2:00 pmwill speak on: Quantized quantum transport and Abelian anyons I’ll discuss recent developments in the study of quantized quantum transport, focussing on the quantum Hall effect. Beyond presenting an index...
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RANDOM MATRIX
May 13, 2020 2:00 pmwill speak on: Quantized quantum transport and Abelian anyons I’ll discuss recent developments in the study of quantized quantum transport, focussing on the quantum Hall effect. Beyond presenting an index...
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RANDOM MATRIX
May 6, 2020 2:00 pmwill speak on: FIELD THEORY AS A LIMIT OF INTERACTING QUANTUM BOSE GASES We prove that the grand canonical Gibbs state of an interacting quantum Bose gas converges to the...
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RANDOM MATRIX
April 29, 2020 2:00 pmSpin wave theory suggests that low temperature properties of the Heisenberg model can be described in terms of noninteracting quasiparticles called magnons. In my talk I will review the basic...
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RANDOM MATRIX
April 22, 2020 2:00 pmWe introduce a class of UV-regularized two-body interactions for fermions in $\R^d$ and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step towards...
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RANDOM MATRIX
April 1, 2020 2:00 pmwill speak on: A Simplified Approach to Interacting Bose Gases via Zoom Video Conferencing: https://harvard.zoom.us/j/147308224 I will discuss some new results about an effective theory introduced by Lieb in 1963...
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