Beta Ensembles, Rigidity and Last Passage Percolation

Beta Ensembles, Rigidity and Last Passage Percolation

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Riddhipratim Basu, International Centre for Theoretical Sciences
Fine Hall 601

Connection between largest eigenvalues in Beta ensembles and last passage times in certain exactly solvable LPP models is classical. I shall recall some of the standard distributional equalities and explain how one can obtain one point moderate deviation estimates using random matrix techniques. I shall also discuss some examples where rigidity of the eigenvalues can be used to answer geometric questions in the LPP picture.