354 citations · 677 across the 102 of their papers we have counts for
142 papers
Absorption Probabilities for Random Convex Hulls: Distribution-Freeness via the Wall-Crossing Method
Zakhar Kabluchko, Alexander Tarasov
We consider the probability that the convex hull of the first partial sums of a -dimensional random walk contains the origin. Under symmetric exchangeability of the incremen…
Asymptotic theory of Schatten classes
Michael Juhos, Zakhar Kabluchko, Joscha Prochno
The study of Schatten classes has a long tradition in geometric functional analysis and related fields. In this paper we study a variety of geometric and probabilistic aspects of f…
Multinomial random combinatorial structures and -versions of Stirling, Eulerian and Lah numbers
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych +1
We introduce multinomial and -variants of several classic objects of combinatorial probability, such as the random recursive and Hoppe trees, random set partitions and compositi…
On decoupled standard random walks
Gerold Alsmeyer, Alexander Iksanov, Zakhar Kabluchko
Let , , be a standard random walk with i.i.d. nonnegative increments and associated renewal counting process $N(t)=\…
Propagation of chaos in the Random field Curie-Weiss model
Matthias Löwe, Zakhar Kabluchko
We prove propagation of chaos in the Random field mean-field Ising model, also known ad the Random field Curie-Weiss model. We show that in the paramagnetic phase, i.e.\ in the reg…
Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators
Brian C. Hall, Ching-Wei Ho, Jonas Jalowy +1
We start with a random polynomial of degree with independent coefficients. We then consider a new polynomial obtained by applications o…