486 citations · 5.8k across the 140 of their papers we have counts for
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Freezing Transitions and Extreme Values: Random Matrix Theory, , and Disordered Landscapes
Yan V. Fyodorov, Jonathan P. Keating
We argue that the freezing transition scenario, previously conjectured to occur in the statistical mechanics of 1/f-noise random energy models, governs, after reinterpretation, the…
Critical Behaviour of the Number of Minima of a Random Landscape at the Glass Transition Point and the Tracy-Widom distribution
Yan V. Fyodorov, Celine Nadal
We exploit a relation between the mean number of minima of random Gaussian surfaces and extreme eigenvalues of random matrices to understand the critical behaviour of $N_{m…
Counting function fluctuations and extreme value threshold in multifractal patterns: the case study of an ideal noise
Yan V. Fyodorov, Pierre Le Doussal, Alberto Rosso
To understand the sample-to-sample fluctuations in disorder-generated multifractal patterns we investigate analytically as well as numerically the statistics of high values of the…
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function
Yan V. Fyodorov, Ghaith A Hiary, Jonathan P. Keating
We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value distribution of the ma…
Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality
Y. V. Fyodorov, D. V. Savin
We consider an open (scattering) quantum system under the action of a perturbation of its closed counterpart. It is demonstrated that the resulting shift of resonance widths is a s…