Zobrazeno 1 - 10
of 190
pro vyhledávání: '"Tkachev, Vladimir"'
Hsiang algebras are a class of nonassociative algebra defined in terms of a relation quartic in elements of the algebra. This class arises naturally in relation to the construction of real algebraic minimal cones. Additionally, Hsiang algebras were c
Externí odkaz:
http://arxiv.org/abs/2410.14267
Autor:
Tkachev, Vladimir G.
Publikováno v:
Communications in Mathematics, Volume 32 (2024), Issue 2 (Special issue: CIMPA schools "Nonassociative Algebras and related topics, Brazil'2023" and "Current Trends in Algebra, Philippines'2024") (September 9, 2024) cm:12223
The principal observation of the present paper is that an inner isotopy (i.e. a principal isotopy defined by an algebra endomorphism) is a very helpful instrument in constructing and studying interesting classes of nonassociative algebras. By using m
Externí odkaz:
http://arxiv.org/abs/2308.16284
Autor:
Krasnov, Yakov, Tkachev, Vladimir
The purpose of this paper is to give a systematic study of two new classes of commutative nonassociative algebras, the so-called isospectral and medial algebras. An isospectral algebra $\mathbb{A}$ is a generic commutative nonassociative algebra whos
Externí odkaz:
http://arxiv.org/abs/2210.08245
Publikováno v:
Comp and Math Methods. 2019, e1042
An SIR model with the coinfection of the two infectious agents in a single host population is considered. The model includes the environmental carry capacity in each class of population. A special case of this model is analyzed and several threshold
Externí odkaz:
http://arxiv.org/abs/1905.04920
Autor:
Tkachev, Vladimir G.
Publikováno v:
Mathematical Physics and Computer Simulation, vol. 22, n. 2, 2019
In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A good deal of this paper is recollections of my collaboration with my teacher, PhD supervisor and a colleague, Vla
Externí odkaz:
http://arxiv.org/abs/1904.08162
Autor:
Andersson, Jonathan, Kozlov, Vladimir, Tkachev, Vladimir G., Radosavljevic, Sonja, Wennergren, Uno
Publikováno v:
Journal of Mathematical Sciences vol. 242, 2-24(2019)
The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and age-dependent factors will facilitate more accurate predictions about
Externí odkaz:
http://arxiv.org/abs/1903.02226
Autor:
Tkachev, Vladimir G.
Publikováno v:
Algebra i Analiz, 31(2019), no. 2, 51-74
In this note, we address the following question: Why certain nonassociative algebra structures emerge in the regularity theory of elliptic type PDEs and also in constructing nonclassical and singular solutions? The aim of the paper is twofold. Firstl
Externí odkaz:
http://arxiv.org/abs/1901.02765
Publikováno v:
Math. Meth. Appl. Sci., 2019
Multiple viruses are widely studied because of their negative effect on the health of host as well as on whole population. The dynamics of coinfection is important in this case. We formulated a SIR model that describes the coinfection of the two vira
Externí odkaz:
http://arxiv.org/abs/1808.04846
Autor:
Tkachev, Vladimir G.
Publikováno v:
J. Algebra, 569(2021), 466-510
In this paper we will explain an interesting phenomenon which occurs in general nonassociative algebras. More precisely, we establish that any finite-dimensional commutative nonassociative algebra over a field satisfying an identity always contains $
Externí odkaz:
http://arxiv.org/abs/1808.03808
Publikováno v:
Ecological Complexity, 36(2018), p. 101-109
We study the biodiversity problem for resource competition systems with extinctions and self-limitation effects. Our main result establishes estimates of biodiversity in terms of the fundamental parameters of the model. We also prove the global stabi
Externí odkaz:
http://arxiv.org/abs/1808.02239