8 citations · 15 across the 4 of their papers we have counts for
5 papers
On some high-dimensional limits of matricial stochastic processes seen from a quantum probability perspective
Michaël Ulrich
We generalize the result of block-wise convergence of the Brownian motion on the unitary group towards a quantum Lévy process on the unitary dual group …
Towards a Classification of Multi-Faced Independence: A Representation-Theoretic Approach
Malte Gerhold, Takahiro Hasebe, Michael Ulrich
We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete…
Hypercontractivity of heat semigroups on free quantum groups
Uwe Franz, Guixiang Hong, François Lemeux +2
In this paper we study two semigroups of completely positive unital self-adjoint maps on the von Neumann algebras of the free orthogonal quantum group and the free permutat…
Haar states and Lévy processes on the unitary dual group
Guillaume Cébron, Michaël Ulrich
We study states on the universal noncommutative *-algebra generated by the coefficients of a unitary matrix, or equivalently states on the unitary dual group. Its structure of dual…
Construction of a free Lévy process as high-dimensional limit of a Brownian motion on the Unitary group
Michaël Ulrich
It is well known that freeness appears in the high-dimensional limit of independence for matrices. Thus, for instance, the additive free Brownian motion can be seen as the limit of…