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117 papers · 1 filter
Branching processes in random environment with sibling dependence
V. A. Vatutin, E. E. Dyakonova
We consider a population of particles with unit life length. Dying each particle produces offspring whose size depends on the random environment specifying the reproduction law of…
Estimates for the closeness of convolutions of probability distributions on convex polyhedra
Friedrich Götze, Andrei Yu. Zaitsev
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by the accompanying compound Poisson…
A note on the set
Pierre-Yves Bienvenu, François Hennecart, Ilya Shkredov
Let a large enough prime number. When is a subset of of cardinality , then an application of Cauchy-Davenport Theorem gives…
On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg-Weyl group
G. G. Amosov, A. S. Mokeev
We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation…
Quantum communication protocols as a benchmark for quantum computers
A. A. Zhukov, E. O. Kiktenko, A. A. Elistratov +2
We point out that realization of quantum communication protocols in programmable quantum computers provides a deep benchmark for capabilities of real quantum hardware. Particularly…
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras
Olga Postnova, Nicolai Reshetikhin
In this paper we study the asymptotic of multiplicities of irreducible representations in large tensor products of finite dimensional representations of simple Lie algebras and the…