34 citations · 150 across the 45 of their papers we have counts for
4 papers · 2 filters
On the largest Lyapunov exponent for products of Gaussian matrices
Vladislav Kargin
The paper provides a new integral formula for the largest Lyapunov exponent of Gaussian matrices, which is valid in the real, complex and quaternion-valued cases. This formula is a…
Lecture Notes on Random Matrix Theory
Vladislav Kargin, Elena Yudovina
Brief lecture notes for a course about random matrices given at the University of Cambridge.
Lecture Notes on Free Probability
Vladislav Kargin
These lecture notes provide an introduction to free probability theory, with a focus on tools and techniques useful in the study of large random matrices. Topics include freeness,…
Statistical properties of zeta functions' zeros
Vladislav Kargin
The paper reviews existing results about the statistical distribution of zeros for the three main types of zeta functions: number-theoretical, geometrical, and dynamical. It provid…