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[ספר][B] Gibbs measures in biology and physics: The Potts model
UA Rozikov - 2022 - World Scientific
In this chapter we give main definitions and useful facts of the theory of Gibbs measures of
lattice spin systems. In the first section we give general definitions. This chapter also …
lattice spin systems. In the first section we give general definitions. This chapter also …
[ספר][B] Population dynamics: algebraic and probabilistic approach
UA Rozikov - 2020 - World Scientific
In this chapter we give some minimal preliminaries from biology, motivations of studying of
population dynamics, and define evolution operators and associated algebras related to free …
population dynamics, and define evolution operators and associated algebras related to free …
Quadratic stochastic processes of type
We construct quadratic stochastic processes (QSP)(also known as Markov processes of
cubic matrices) in continuous and discrete times. These are dynamical systems given by (a …
cubic matrices) in continuous and discrete times. These are dynamical systems given by (a …
Ergodicity of nonlinear Markov operators on the finite dimensional space
A nonlinear Markov chain is a discrete time stochastic process whose transition matrices
may depend not only on the current state of the process but also on the current distribution of …
may depend not only on the current state of the process but also on the current distribution of …
On a family of strictly non-Volterra quadratic stochastic operators
On a Family of Strictly Non-Volterra Quadratic Stochastic Operators Page 1 Journal of Physics:
Conference Series PAPER • OPEN ACCESS On a Family of Strictly Non-Volterra Quadratic …
Conference Series PAPER • OPEN ACCESS On a Family of Strictly Non-Volterra Quadratic …
On Nonergodic Uniform Lotka–Volterra Operators.
On Nonergodic Uniform Lotka–Volterra Operators* Page 1 ISSN 0001-4346, Mathematical Notes,
2019, Vol. 105, No. 2, pp. 258–264. © Pleiades Publishing, Ltd., 2019. On Nonergodic Uniform …
2019, Vol. 105, No. 2, pp. 258–264. © Pleiades Publishing, Ltd., 2019. On Nonergodic Uniform …
Quadratic operators corresponding to permutations
In the present paper we consider a family of non-Volterra quadratic stochastic operators
depending on a parameter α and study their trajectory behaviors. We find all fixed and …
depending on a parameter α and study their trajectory behaviors. We find all fixed and …
Genetic Algebras Associated with ξ(a)-Quadratic Stochastic Operators
The present paper deals with a class of ξ (a)-quadratic stochastic operators, referred to as
QSOs, on a two-dimensional simplex. It investigates the algebraic properties of the genetic …
QSOs, on a two-dimensional simplex. It investigates the algebraic properties of the genetic …
Genetic Volterra algebras and their derivations
The present paper is devoted to genetic Volterra algebras. We first study characters of such
algebras. We fully describe associative genetic Volterra algebras, in this case all derivations …
algebras. We fully describe associative genetic Volterra algebras, in this case all derivations …
A flow of quantum genetic Lotka-Volterra algebras on M2 (C)
In the present paper, we define a quantum analog of Lotka-Volterra algebras using a
coalgebra scheme. This new framework provides a fresh perspective for the treatment of …
coalgebra scheme. This new framework provides a fresh perspective for the treatment of …