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9 papers · 1 filter
The problem of harmonic analysis on the infinite-dimensional unitary group
Grigori Olshanski
The goal of harmonic analysis on a (noncommutative) group is to decompose the most `natural' unitary representations of this group (like the regular representation) on irreducible…
Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
Alexei Borodin, Grigori Olshanski
The infinite-dimensional unitary group U(infinity) is the inductive limit of growing compact unitary groups U(N). In this paper we solve a problem of harmonic analysis on U(infinit…
Infrared regular representation of the three dimensional massless Nelson model
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that in the Euclidean representation of the three dimensional massless Nelson model the t = 0 projection of the interacting measure is absolutely continuous with respect t…
Complex Tilings
Bruno Durand, Leonid A. Levin, Alexander Shen
We study the minimal complexity of tilings of a plane with a given tile set. We note that every tile set admits either no tiling or some tiling with O(n) Kolmogorov complexity of i…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…
Ruelle-Perron-Frobenius spectrum for Anosov maps
Michael Blank, Gerhard Keller, Carlangelo Liverani
We extend a number of results from one dimensional dynamics based on spectral properties of the Ruelle-Perron-Frobenius transfer operator to Anosov diffeomorphisms on compact manif…