19 citations · 37 across the 16 of their papers we have counts for
20 papers
A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces
Quentin François, David García-Zelada, Thierry Lévy +1
We provide a manifestly positive expression for the volume of the moduli spaces of flat -valued connections on punctured compact oriented surfaces. This volume is ob…
Universality of cutoff for independent random walks on the circle conditioned not to intersect
Anna Ben-Hamou, Pierre Tarrago
In the present paper, we consider a class of Markov processes on the discrete circle which has been introduced by König, O'Connell and Roch. These processes describe movements of e…
Positive formula for the product of conjugacy classes on the unitary group
Quentin François, Pierre Tarrago
The convolution product of two conjugacy classes of the unitary group is described by a probability distribution on the space of central measures. Relating this convolution t…
Homology rings of affine grassmannians and positively multiplicative graphs
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
Let be an untwisted affine Lie algebra with associated Weyl group . To any level 0 weight we associate a weighted graph that encodes the orbit of …
Non asymptotic analysis of Adaptive stochastic gradient algorithms and applications
Antoine Godichon-Baggioni, Pierre Tarrago
In stochastic optimization, a common tool to deal sequentially with large sample is to consider the well-known stochastic gradient algorithm. Nevertheless, since the stepsequence i…
Quantum cohomology of the Grassmannian and unitary Dyson Brownian motion
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
We study a class of commuting Markov kernels whose simplest element describes the movement of particles on a discrete circle of size conditioned to not intersect each other…
Harmonic functions for singular quadrant walks
Viet Hung Hoang, Kilian Raschel, Pierre Tarrago
We consider discrete (time and space) random walks confined to the quarter plane, with jumps only in directions with and small negative jumps, i.e., $i,j \geq…
Basics on positively multiplicative graphs and algebras
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
An oriented graph is said positively multiplicative when its adjacency matrix embeds in a matrix algebra admitting a basis with nonnegative structure constants in…
Constructing discrete harmonic functions in wedges
Viet Hung Hoang, Kilian Raschel, Pierre Tarrago
We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the…
Spectral deconvolution of unitarily invariant matrix models
Pierre Tarrago
The present paper implements a complex analytic method to recover the spectrum of a matrix perturbed by either the addition or the multiplication of a random matrix noise, under th…
Martin boundary of random walks in convex cones
Jetlir Duraj, Kilian Raschel, Pierre Tarrago +1
We determine the asymptotic behavior of the Green function for zero-drift random walks confined to multidimensional convex cones. As a consequence, we prove that there is a unique…
Boundary behavior for random walks in cones
Kilian Raschel, Pierre Tarrago
We study the asymptotic behavior of zero-drift random walks confined to multidimensional convex cones, when the endpoint is close to the boundary. We derive a local limit theorem i…
Alcove random walks, k-Schur functions and the minimal boundary of the k-bounded partition poset
Cédric Lecouvey, Pierre Tarrago
We use k-Schur functions to get the minimal boundary of the k-bounded partition poset. This permits to describe the central random walks on affine Grassmannian elements of type A a…
Subordination methods for free deconvolution
Octavio Arizmendi, Pierre Tarrago, Carlos Vargas
In this paper, we give subordination functions for free additive and free multiplicative deconvolutions in some domain of the complex half-plane, under the condition that the distr…
Free wreath product quantum groups and standard invariants of subfactors
Pierre Tarrago, Jonas Wahl
By a construction of Vaughan Jones, the bipartite graph associated with the natural inclusion of inside a finite-dimensional -algebra gives rise to a pl…
Central measures on multiplicative graphs, representations of Lie algebras and weight polytopes
Cedric Lecouvey, Pierre Tarrago
To each finite-dimensional representation of a simple Lie algebra is associated a multiplicative graph in the sense of Kerov and Vershik definedfrom the decomposition of its tensor…
Unitary Easy Quantum Groups: the free case and the group case
Pierre Tarrago, Moritz Weber
Easy quantum groups have been studied intensively since the time they were introduced by Banica and Speicher in 2009. They arise as a subclass of (-algebraic) compact matrix q…
Sawtooth models and asymptotic independence in large compositions
Pierre Tarrago
In this paper we improve the probabilistic approach to compositions of Ehrenborg, Levin and Readdy by introducing a simpler but more general probabilistic model. As consequence we…
Zigzag diagrams and Martin boundary
Pierre Tarrago
We investigate the asymptotic behavior of random paths on a graded graph which describes the subword order for words in two letters. This graph, denoted by , has been…
Free wreath product quantum groups : the monoidal category, approximation properties and free probability
François Lemeux, Pierre Tarrago
In this paper, we find the fusion rules for the free wreath product quantum groups for all compact matrix quantum groups of Kac type and …