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Showing 1-7 of 7 results

  1. Regular Expansion for the Characteristic Exponent of a Product of 2 × 2 Random Matrices

    We consider a product of 2 × 2 random matrices which appears in the physics literature in the analysis of some 1D disordered models. These matrices...

    Benjamin Havret in Mathematical Physics, Analysis and Geometry
    Article 14 May 2019

  2. Mesoscopic Fluctuations for the Thinned Circular Unitary Ensemble

    In this paper we study the asymptotic behavior of mesoscopic fluctuations for the thinned Circular Unitary Ensemble. The effect of thinning is that...

    Tomas Berggren, Maurice Duits in Mathematical Physics, Analysis and Geometry
    Article Open access 22 June 2017

  3. Quantum Ergodicity on Regular Graphs

    We give three different proofs of the main result of Anantharaman and Le Masson (Duke Math J 164(4):723–765, 2015 ), establishing quantum ergodicity—a...

    Nalini Anantharaman in Communications in Mathematical Physics
    Article 05 May 2017

  4. Characterisation of Matrix Entropies

    The notion of matrix entropy was introduced by Tropp and Chen with the aim of measuring the fluctuations of random matrices. It is a certain entropy...

    Frank Hansen, Zhihua Zhang in Letters in Mathematical Physics
    Article 29 July 2015

  5. Efficient Localization Bounds in a Continuous N-Particle Anderson Model with Long-Range Interaction

    We establish strong dynamical and exponential spectral localization for a class of multi-particle Anderson models in a Euclidean space with an...

    Victor Chulaevsky in Letters in Mathematical Physics
    Article 26 February 2016

  6. Lozenge Tilings with Free Boundaries

    We study lozenge tilings of a domain with partially free boundary. In particular, we consider a trapezoidal domain (half-hexagon), s.t. the...

    Greta Panova in Letters in Mathematical Physics
    Article 20 August 2015

  7. Gap Probabilities for the Generalized Bessel Process: A Riemann-Hilbert Approach

    We consider the gap probability for the Generalized Bessel process in the single-time and multi-time case, a determinantal process which arises as...

    Manuela Girotti in Mathematical Physics, Analysis and Geometry
    Article 17 June 2014
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