C. Quantum, . And, and . Semigroups, Résumé Personal data Michaël Ulrich 8, rue Beauregard F-25000 Besançon FRANCE michael.ulrich@normalesup.org Citizenship: French Born the, 1988.

@. M. Ulrich, Construction of a free L??vy process as high-dimensional limit of a Brownian motion on the unitary group, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol.17, issue.03, 2015.
DOI : 10.1007/BFb0089237

@. G. Cébron and M. Ulrich, Haar states and Lévy processes on the unitary dual group, Journal of Functional Analysis, 2016.

@. U. Franz, G. Hong, F. Lemeux, and M. Ulrich, Hypercontractivity of heat semigroups on free quantum groups, Journal of Operator Theory, vol.77, issue.1, p.2015
DOI : 10.7900/jot.2015nov13.2126

. Finally, Ornella Bicchierri, who truly deserves a special place. I am very much indebted to her for her constant support and encouragements. Words would not be enough to express my appreciation for her! Bibliography [1] Anis Ben Ghorbal and Michael Schürmann. Non-commutative notions of stochastic independence, Math. Proc. Cambridge Philos. Soc, pp.531-561, 2002.

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