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  3. Vibrational spectrum of Granular packings with random matrices

    Abstract

    The vibrational spectrum of granular packings can be used as a signature of the jamming transition, with the density of states at zero...

    Onuttom Narayan, Harsh Mathur in The European Physical Journal E
    Article Open access 12 March 2024

  4. Fuzzballs and random matrices

    Black holes are believed to have the fast scrambling properties of random matrices. If the fuzzball proposal is to be a viable model for quantum...

    Suman Das, Sumit K. Garg, ... Arnab Kundu in Journal of High Energy Physics
    Article Open access 05 October 2023

  5. On the Spectral Form Factor for Random Matrices

    In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool...

    Giorgio Cipolloni, László Erdős, Dominik Schröder in Communications in Mathematical Physics
    Article Open access 23 March 2023

  6. Color confinement and random matrices. A random walk down group manifold toward Casimir scaling

    We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the...

    Georg Bergner, Vaibhav Gautam, Masanori Hanada in Journal of High Energy Physics
    Article Open access 01 March 2024

  7. Mean-Field Criticality Explained by Random Matrices Theory

    How a system initially at infinite temperature responds when suddenly placed at finite temperatures is a way to check the existence of phase...

    Roberto da Silva, Heitor C. M. Fernandes, ... J. R. Drugowich de Felicio in Brazilian Journal of Physics
    Article 17 April 2023

  8. Discrete Integrable Systems and Random Lax Matrices

    We study properties of Hamiltonian integrable systems with random initial data by considering their Lax representation. Specifically, we investigate...

    Tamara Grava, Massimo Gisonni, ... Guido Mazzuca in Journal of Statistical Physics
    Article Open access 01 November 2022

  9. Sparse random matrices and Gaussian ensembles with varying randomness

    We study a system of N qubits with a random Hamiltonian obtained by drawing coupling constants from Gaussian distributions in various ways. This...

    Takanori Anegawa, Norihiro Iizuka, ... Sandip P. Trivedi in Journal of High Energy Physics
    Article Open access 30 November 2023

  10. Exact Solution of Interacting Particle Systems Related to Random Matrices

    We consider one-dimensional diffusions, with polynomial drift and diffusion coefficients, so that in particular the motion can be...

    Theodoros Assiotis in Communications in Mathematical Physics
    Article Open access 16 June 2023

  13. Calabi-Yau CFTs and random matrices

    Using numerical methods for finding Ricci-flat metrics, we explore the spectrum of local operators in two-dimensional conformal field theories...

    Nima Afkhami-Jeddi, Anthony Ashmore, Clay Córdova in Journal of High Energy Physics
    Article Open access 03 February 2022

  14. Correlation of local densities of states on mesoscopic energy scales in random band matrices

    We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of...

    Justine Louis in Letters in Mathematical Physics
    Article Open access 06 July 2023

  17. Spacing statistics of energy spectra: random matrices, black hole thermalization, and echoes

    Recent advances in AdS/CFT holography have suggested that the near-horizon dynamics of black holes can be described by random matrix systems. We...

    Krishan Saraswat, Niayesh Afshordi in Journal of High Energy Physics
    Article Open access 05 April 2022

  18. Random matrices and quantum Hamilton-Jacobi method

    In this paper, we start with the quantum Hamilton-Jacobi approach and show that the underlying complex pole evolution of the Schrödinger equation is...

    K. Haritha, K. V. S. Shiv Chaitanya in The European Physical Journal Special Topics
    Article 16 December 2021

  20. Fluctuation Moments for Regular Functions of Wigner Matrices

    We compute the deterministic approximation for mixed fluctuation moments of products of deterministic matrices and general Sobolev functions of...

    Jana Reker in Mathematical Physics, Analysis and Geometry
    Article Open access 20 June 2024
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