486 citations · 5.8k across the 140 of their papers we have counts for
6 papers · 1 filter
Moments of the position of the maximum for GUE characteristic polynomials and for log-correlated Gaussian processes
Yan V. Fyodorov, Pierre Le Doussal
We study three instances of log-correlated processes on the interval: the logarithm of the Gaussian unitary ensemble (GUE) characteristic polynomial, the Gaussian log-correlated po…
Nonlinear Analogue of the May-Wigner Instability Transition
Yan V. Fyodorov, Boris A. Khoruzhenko
We study a system of degrees of freedom coupled via a smooth homogeneous Gaussian vector field with both gradient and divergence-free components. In the absence of couplin…
Towards rigorous analysis of the Levitov-Mirlin-Evers recursion
Yan. V. Fyodorov, Antti Kupiainen, Christian Webb
This paper aims to develop a rigorous asymptotic analysis of an approximate renormalization group recursion for inverse participation ratios of critical powerlaw random band…
Large time zero temperature dynamics of the spherical p=2-spin glass model of finite size
Yan V. Fyodorov, Anthony Perret, Gregory Schehr
We revisit the long time dynamics of the spherical fully connected -spin glass model when the number of spins is large but {\it finite}. At where the system is in…
On the distribution of maximum value of the characteristic polynomial of GUE random matrices
Yan V. Fyodorov, Nicholas J. Simm
Motivated by recently discovered relations between logarithmically correlated Gaussian processes and characteristic polynomials of large random matrices from the G…
Resonance width distribution in RMT: Weak coupling regime beyond Porter-Thomas
Yan V. Fyodorov, Dmitry V. Savin
We employ the random matrix theory (RMT) framework to revisit the distribution of resonance widths in quantum chaotic systems weakly coupled to the continuum via a finite number M…