73 citations · 721 across the 73 of their papers we have counts for
73 papers
Largest eigenvalue statistics of sparse random adjacency matrices
Bogdan Slavov, Kirill Polovnikov, Sergei Nechaev +1
We investigate the statistics of the largest eigenvalue, , in an ensemble of large () sparse adjacency matrices, . The most attention is paid…
Generalized Devil's staircase and RG flows
Ana Flack, Alexander Gorsky, Sergei Nechaev
We discuss a two-parameter renormalization group (RG) flow when parameters are organized in a single complex variable, , with modular properties. Throughout the work we consider…
Eigenvalue detachment, BBP transition and constrained Brownian motion
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We discuss the eigenvalue detachment transition in terms of scaling of fluctuations in ensembles of paths located near convex boundaries of various physical nature. We consider num…
Stretching of a fractal polymer around a disc reveals KPZ-like statistics
Kirill E. Polovnikov, Sergei K. Nechaev, Alexander Y. Grosberg
While stretching of a polymer along a flat surface is hardly different from the classical Pincus problem of pulling chain ends in free space, the role of curved geometry in conform…
From steady-state TASEP model with open boundaries to 1D Ising model at negative fugacity
Mikhail V. Tamm, Maxym Dudka, Nikita Pospelov +2
We demonstrate here a series of exact mappings between particular cases of four statistical physics models: equilibrium 1-dimensional lattice gas with nearest-neighbor repulsion, $…
Lifshitz tails at spectral edge and holography with a finite cutoff
Alexander Gorsky, Sergei Nechaev, Alexander Valov
We propose the holographic description of the Lifshitz tail typical for one-particle spectral density of bounded disordered system in space. To this aim the "polymer represen…