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19972026
most citedFIESTA5: numerical high-performance Feynman integral evaluation

100 citations

Showing 2023Show all

16 papers · 1 filter

math.RA2023★ 4 cited

The algebraic and geometric classification of antiassociative algebras

Renato Fehlberg Júnior, Ivan Kaygorodov, Crislaine Kuster

This paper is devoted to the complete algebraic and geometric classification of complex 4 and 5-dimensional antiassociative algebras. In particular, we proved that the variety of c…

hep-ph2023★ 45 cited

FIRE 6.5: Feynman Integral Reduction with New Simplification Library

Alexander V. Smirnov, Mao Zeng

FIRE is a program which performs integration-by-parts (IBP) reduction of Feynman integrals. Originally, the C++ version of FIRE relies on the computer algebra system Fermat by Robe…

math.RA2023★ 22 cited

The algebraic and geometric classification of transposed Poisson algebras

Patrícia Damas Beites, Amir Fernández Ouaridi, Ivan Kaygorodov

The algebraic and geometric classification of all complex -dimensional transposed Poisson algebras is obtained. Also, we discuss strong special -dimensional transposed Poisso…

math.GR2023★ 2 cited

On -nonsingular systems of equations over solvable groups

Mikhail A. Mikheenko

Any group that has a subnormal series, in which all factors are abelian and all except the last one are -torsion-free, can be embedded into a group with a subnormal series of t…

hep-ph2023★ 3 cited

The decomposed photon anomalous dimension in QCD and the -expanded representations for the Adler function

A. L. Kataev, V. S. Molokoedov

This work is devoted to the study of the -expansion of the perturbative expressions for the annihilation Adler function and for the related renormalization…

math.CO2023

On linear preservers of permanental rank

Alexander Guterman, Igor Spiridonov

Let denote the set of square matrices over a field of characteristic different from two. The permanental rank of…

math.GR2023★ 1 cited

The centre of a finitely generated strongly verbally closed group is almost always pure

Filipp D. Denissov, Anton A. Klyachko

The assertion in the title implies that many interesting groups (e.g., all non-abelian braid groups or ) are not strongly verbally closed, i.e., they emb…

math.FA2023★ 6 cited

Sampling discretization of the uniform norm and applications

E. D. Kosov, V. N. Temlyakov

Discretization of the uniform norm of functions from a given finite dimensional subspace of continuous functions is studied. Previous known results show that for any -dimensiona…

math.CO2023★ 1 cited

Invariant systems of weighted representatives

Anton A. Klyachko, Mikhail S. Terekhov

It is known that, if removing some edges from a graph destroys all subgraphs isomorphic to a given finite graph , then all subgraphs isomorphic to can be destroyed b…

astro-ph.SR2023★ 10 cited

The Extended Solar Cycle and Asymmetry of the Large-Scale Magnetic Field

V. N. Obridko, A. S. Shibalova, D. D. Sokoloff

Traditionally, the solar activity cycle is thought as an interplay of the main dipole component of the solar poloidal magnetic field and the toroidal magnetic field. However, the r…

astro-ph.SR2023★ 51 cited

Evolution of solar and stellar dynamo theory

Paul Charbonneau, Dmitry Sokoloff

In this paper, written as a general historical and technical introduction to the various review papers collected in the special issue ``Solar and Stellar Dynamo: A New Era'', we re…

cond-mat.stat-mech2023★ 7 cited

Relative efficiency of three mechanisms of vector fields growth in a random media

E. A. Illarionov, D. D. Sokoloff

We consider a model of a random media with fixed and finite memory time with abrupt losses of memory (renovation model). Within the memory intervals we can observe either amplifica…

astro-ph.SR2023★ 5 cited

Statistical Study of the Correlation between Solar Energetic Particles and Properties of Active Regions

Russell D. Marroquin, Viacheslav Sadykov, Alexander Kosovichev +9

The flux of energetic particles originating from the Sun fluctuates during the solar cycles. It depends on the number and properties of Active Regions (ARs) present in a single day…

hep-ph2023★ 22 cited

Balancing act: multivariate rational reconstruction for IBP

A. V. Belitsky, A. V. Smirnov, R. V. Yakovlev

We address the problem of unambiguous reconstruction of rational functions of many variables. This is particularly relevant for recovery of exact expansion coefficients in integrat…

math.GR2023★ 4 cited

Equations over solvable groups

Anton A. Klyachko, Mikhail A. Mikheenko, Vitaly A. Roman'kov

Not any nonsingular equation over a metabelian group has solution in a larger metabelian group. However, any nonsingular equation over a solvable group with a subnormal series with…

math.GR2023★ 3 cited

Finite normal subgroups of strongly verbally closed groups

Filipp D. Denissov

In the recent paper by A. A. Klyachko, V. Yu. Miroshnichenko, and A. Yu. Olshanskii, it is proven that the center of any finite strongly verbally closed group is its direct factor.…