Výsledky vyhledávání - "Teyssier, Lucas"

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Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function

We prove sharp bounds on the virtual degrees introduced by Larsen and Shalev. This leads to improved bounds on characters of symmetric groups. We then sharpen bounds of Liebeck and Shalev concerning the Witten zeta function. Our main application is a

Externí odkaz: http://arxiv.org/abs/2411.04347

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On the universality of fluctuations for the cover time

Autor: Berestycki, Nathanaël, Hermon, Jonathan, Teyssier, Lucas

We consider random walks on finite vertex-transitive graphs $\Gamma$ of bounded degree. We find a simple geometric condition which characterises the cover time fluctuations: the suitably normalised cover time converges to a standard Gumbel variable i

Externí odkaz: http://arxiv.org/abs/2202.02255

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Cutoff profiles for quantum L\'{e}vy processes and quantum random transpositions

Autor: Freslon, Amaury, Teyssier, Lucas, Wang, Simeng

We consider a natural analogue of Brownian motion on free orthogonal quantum groups and prove that it exhibits a cutoff at time $N\ln(N)$. Then, we study the induced classical process on the real line and compute its atoms and density. This enables u

Externí odkaz: http://arxiv.org/abs/2010.03273

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Limit profile for random transpositions

Autor: Teyssier, Lucas

We present an improved version of Diaconis' upper bound lemma, which is used to compute the limiting value of the distance to stationarity. We then apply it to random transpositions studied by Diaconis and Shahshahani.

Externí odkaz: http://arxiv.org/abs/1905.08514

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