Quantum SL2, infinite curvature and Pitman’s 2M-X theorem

The classical theorem by Pitman states that a Brownian motion minus twice its running infimum enjoys the Markov property. On the one hand, Biane understood that Pitman’s theorem is intimately related to the representation theory of the quantum group U q s l 2 , in the so-called crystal regime q → 0...

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