34 citations · 150 across the 45 of their papers we have counts for
33 papers · 1 filter
Free compressions of R-diagonal random variables and the semigroup of Brown measures
Vladislav Kargin
We investigate the Brown measures of compressions of -diagonal random variables, extending previous results to include unbounded cases. For random variables with finite variance…
The smallest singular value of large random rectangular Toeplitz and circulant matrices
Alexei Onatski, Vladislav Kargin
Let , be a sequence of i.i.d. standard normal random variables. Consider rectangular Toeplitz …
On the joint distribution of the area and the number of peaks for Bernoulli excursions
Vladislav Kargin
Let be a random Bernoulli excursion of length . We show that the area under and the number of peaks of are asymptotically independent. We also show that these…
Scaling limits of slim and fat trees
Vladislav Kargin
We consider Galton--Watson trees conditioned on both the total number of vertices and the number of leaves . The focus is on the case in which both and grow to infin…
On enumeration and entropy of ribbon tilings
Yinsong Chen, Vladislav Kargin
The paper considers ribbon tilings of large regions and their per-tile entropy (the logarithm of the number of tilings divided by the number of tiles). For tilings of general regio…
Cycles in random meander systems
Vladislav Kargin
A meander system is a union of two arc systems that represent non-crossing pairings of the set in the upper and lower half-plane. In this paper, we consi…