11 citations · 28 across the 4 of their papers we have counts for
4 papers
Optimal Fluctuations and Tail States of non-Hermitian Operators
A. V. Izyumov, B. D. Simons
We develop a general variational approach to study the statistical properties of the tail states of a wide class of non-Hermitian operators. The utility of the method, which is a r…
Field theory of self-avoiding walks in random media
A. V. Izyumov, K. V. Samokhin
Based on the analogy with the quantum mechanics of a particle propagating in a {\em complex} potential, we develop a field-theoretical description of the statistical properties of…
Classical and Quantum Dynamics in a Random Magnetic Field
A. V. Izyumov, B. D. Simons
Using the supersymmetry approach, we study spectral statistical properties of a two-dimensional quantum particle subject to a non-uniform magnetic field. We focus mainly on the pro…
Quantum Mechanics with Random Imaginary Scalar Potential
A. V. Izyumov, B. D. Simons
We study spectral properties of a non-Hermitian Hamiltonian describing a quantum particle propagating in a random imaginary scalar potential. Cast in the form of an effective field…