239 citations
- Cornell UniversityUS6 papers
- Brookhaven National LaboratoryUS4 papers
- Rutgers, The State University of New JerseyUS4 papers
- United States Air Force Research LaboratoryUS4 papers
- University of WashingtonUS4 papers
- Lawrence Berkeley National LaboratoryUS3 papers
- Princeton UniversityUS3 papers
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- University of OxfordGB3 papers
- University of VirginiaUS3 papers
- Apple (Israel)IL2 papers
7 papers · 1 filter
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…
Telegraph process with elastic boundary at the origin
Antonio Di Crescenzo, Barbara Martinucci, Shelemyahu Zacks
We investigate the one-dimensional telegraph random process in the presence of an elastic boundary at the origin. This process describes a finite-velocity random motion that altern…
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…
Non-Hermitian random matrices with a variance profile (II): properties and examples
Nicholas A. Cook, Walid Hachem, Jamal Najim +1
For each , let be an deterministic matrix and let be an random matrix with i.i.d. centered entries of unit variance. In the…