output
20102025
most citedLarge deviations in a population dynamics with catastrophes

16 citations

10 papers

math.RA2025

A New Approach to Defining Cochain Complexes for Dendriform and Pre-Lie Algebras

H. Alhussein

Our constructions provide a systematic way to study cohomology pre-algebraic structures via classical cohomology, simplifying computations and enabling the use of established techn…

math.RA2024★ 1 cited

On the pre-commutative envelopes of commutative algebras

H. Alhussein, P. Kolesnikov

We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional alg…

math.RA2022

Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules

H. Alhussein, P. Kolesnikov

In this work we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal ass…

math.PR2019★ 16 cited

Large deviations in a population dynamics with catastrophes

A. Logachov, O. Logachova, A. Yambartsev

The large deviation principle on phase space is proved for a class of Markov processes known as random population dynamics with catastrophes. In the paper we study the process whic…

math.PR2019

Local large deviation principle for Wiener process with random resetting

A. Logachov, O. Logachova, A. Yambartsev

We consider a class of Markov processes with resettings, where at random times, the Markov processes are restarted from a predetermined point or a region. These processes are frequ…

hep-ex2019★ 14 cited

Search for supersymmetry in events with a photon, jets, b-jets, and missing transverse momentum in proton-proton collisions at 13 TeV

CMS Collaboration

A search for supersymmetry is presented based on events with at least one photon, jets, and large missing transverse momentum produced in proton-proton collisions at a center-of-ma…

cs.SD2018★ 2 cited

Reducing over-smoothness in speech synthesis using Generative Adversarial Networks

Leyuan Sheng, Evgeniy N. Pavlovskiy

Speech synthesis is widely used in many practical applications. In recent years, speech synthesis technology has developed rapidly. However, one of the reasons why synthetic speech…

math.PR2018★ 3 cited

The local principle of large deviations for compound Poisson process with catastrophes

A. Logachov, O. Logachova, A. Yambartsev

The continuous time Markov process considered in this paper belongs to a class of population models with linear growth and catastrophes. There, the catastrophes happen at the arriv…

math.OC2015★ 6 cited

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities

Illya M. Karabash, Olga M. Logachova, Ievgen V. Verbytskyi

Quasi-normal-eigenvalue optimization is studied under constraints on structure functions of 2-side open optical or mechanical resonators. We prove…

math.MG2010★ 5 cited

Volume formula for a -symmetric spherical tetrahedron through its edge lengths

Alexander Kolpakov, Alexander Mednykh, Marina Pashkevich

The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. T…