Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Levy, Thierry"'
Autor:
Kassel, Adrien, Lévy, Thierry
We define two natural families of determinantal random subgraphs of a finite connected graph, one supported by acyclic spanning subgraphs (spanning forests) with fixed number of components, the other by connected spanning subgraphs with fixed number
Externí odkaz:
http://arxiv.org/abs/2212.06819
Autor:
Kassel, Adrien, Lévy, Thierry
Publikováno v:
ALEA, Lat. Am. J. Probab. Math. Stat. 20, 497-504 (2023)
In this short note, we extend to the continuous case a mean projection theorem for discrete determinantal point processes associated with a finite range projection, thus strengthening a known result in random linear algebra due to Ermakov and Zolotuk
Externí odkaz:
http://arxiv.org/abs/2203.04628
Autor:
Lévy, Thierry
These notes, echoing a conference given at the Strasbourg-Zurich seminar in October 2017, are written to serve as an introduction to 2-dimensional quantum Yang-Mills theory and to the results obtained in the last five to ten years about its so-called
Externí odkaz:
http://arxiv.org/abs/1912.06246
Autor:
Kassel, Adrien, Lévy, Thierry
Publikováno v:
Ann. Inst. Henri Poincar\'e Comb. Phys. Interact. 9 (2022), no. 4, pp. 659-732
We introduce and study a class of determinantal probability measures generalising the class of discrete determinantal point processes. These measures live on the Grassmannian of a real, complex, or quaternionic inner product space that is split into
Externí odkaz:
http://arxiv.org/abs/1910.06312
Autor:
Kassel, Adrien, Lévy, Thierry
Publikováno v:
Algebraic Combinatorics, Volume 3 (2020) no. 2, pp. 471-482
In this short note, we revisit Zeilberger's proof of the classical matrix-tree theorem and give a unified concise proof of variants of this theorem, some known and some new.
Comment: 10 pages, 2 figures, and 1 colour
Comment: 10 pages, 2 figures, and 1 colour
Externí odkaz:
http://arxiv.org/abs/1903.02491
Autor:
Kassel, Adrien, Lévy, Thierry
Publikováno v:
Prob. Math. Phys. 2 (2021) 419-475
Classical isomorphism theorems due to Dynkin, Eisenbaum, Le Jan, and Sznitman establish equalities between the correlation functions or distributions of occupation times of random paths or ensembles of paths and Markovian fields, such as the discrete
Externí odkaz:
http://arxiv.org/abs/1607.05201
Autor:
Lévy, Thierry, Maida, Mylene
We give a rigorous proof of the fact that a phase transition discovered by Douglas and Kazakov in 1993 in the context of two-dimensional gauge theories occurs. This phase transition can be formulated in terms of the Brownian bridge on the unitary gro
Externí odkaz:
http://arxiv.org/abs/1503.00502
Autor:
Lévy, Thierry
We study the large N asymptotics of the Brownian motions on the orthogonal, unitary and symplectic groups, extend the convergence in non-commutative distribution originally obtained by Biane for the unitary Brownian motion to the orthogonal and sympl
Externí odkaz:
http://arxiv.org/abs/1112.2452
Autor:
Lévy, Thierry
We give a bijective proof of the fact that the number of k-prefixes of minimal factorisations of the n-cycle (1...n) as a product of n-1 transpositions is n^{k-1}\binom{n}{k+1}. Rather than a bijection, we construct a surjection with fibres of consta
Externí odkaz:
http://arxiv.org/abs/1105.5763
Autor:
Lévy, Thierry, Maïda, Mylène
Publikováno v:
Journal of Functional Analysis 259, 12 (2010) 3163-3204
We prove that for a finite collection of real-valued functions $f_{1},...,f_{n}$ on the group of complex numbers of modulus 1 which are derivable with Lipschitz continuous derivative, the distribution of $(\tr f_{1},...,\tr f_{n})$ under the properly
Externí odkaz:
http://arxiv.org/abs/0905.3282