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pro vyhledávání: '"Dahlqvist, Antoine"'
The asymptotic freeness of independent unitarily invariant $N\times N$ random matrices holds in expectation up to $O(N^{-2})$. An already known consequence is the infinitesimal freeness in expectation. We put in evidence another consequence for unita
Externí odkaz:
http://arxiv.org/abs/2205.01926
Autor:
Dahlqvist, Antoine, Lemoine, Thibaut
This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang-Mills measure on all orientable compact surfaces of genus larger or equal to one, with a structure group given by a classical compact matrix Lie group. We s
Externí odkaz:
http://arxiv.org/abs/2201.05886
Autor:
Dahlqvist, Antoine, Lemoine, Thibaut
Publikováno v:
Prob. Math. Phys. 4 (2023) 849-890
We compute the Large N limit of several objects related to the two-dimensional Euclidean Yang-Mills measure on compact connected orientable surfaces of genus larger or equal to one, with a structure group taken among the classical groups of order N.
Externí odkaz:
http://arxiv.org/abs/2201.05882
Publikováno v:
Annales de l'Institut Henri Poincar\'e D 2021
We give formulae for the cumulants of complex Wishart (LUE) and inverse Wishart matrices (inverse LUE). Their large-$N$ expansions are generating functions of double (strictly and weakly) monotone Hurwitz numbers which count constrained factorisation
Externí odkaz:
http://arxiv.org/abs/1809.10033
Publikováno v:
Ann. Probab. 49 (2021), no. 1, 157-179
We prove that independent families of permutation invariant random matrices are asymptotically free over the diagonal, both in probability and in expectation, under a uniform boundedness assumption on the operator norm. We can relax the operator norm
Externí odkaz:
http://arxiv.org/abs/1805.07045
Autor:
Dahlqvist, Antoine, Norris, James
We study the Yang--Mills measure on the sphere with unitary structure group. In the limit where the structure group has high dimension, we show that the traces of loop holonomies converge in probability to a deterministic limit, which is known as the
Externí odkaz:
http://arxiv.org/abs/1703.10578
We show well-posedness for the parabolic Anderson model on $2$-dimensional closed Riemannian manifolds. To this end we extend the notion of regularity structures to curved space, and explicitly construct the minimal structure required for this equati
Externí odkaz:
http://arxiv.org/abs/1702.02965
Autor:
Dahlqvist, Antoine
On s'intéresse dans cette thèse à l'étude de variables aléatoires sur les groupes de Lie compacts classiques. On donne une déformation du calcul de Weingarten tel qu'il a été introduit par B. Collins et P. Sniady. On fait une étude asymptoti
Externí odkaz:
http://www.theses.fr/2014PA066012/document
The master field is the large $N$ limit of the Yang-Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by paths on the plane. We construct and study generalized master fields, called free planar Markovian holo
Externí odkaz:
http://arxiv.org/abs/1601.00214
We investigate questions related to the notion of traffics introduced by the author C. Male as a noncommutative probability space with numerous additional operations and equipped with the notion of traffic independence. We prove that any sequence of
Externí odkaz:
http://arxiv.org/abs/1601.00168