Zobrazeno 1 - 10
of 159
pro vyhledávání: '"SABUROV, MANSOOR"'
In this paper, we are aiming to propose a novel mathematical model that studies the dynamics of synaptic damage in terms of concentrations of toxic neuropeptides/neurotransmitters during neurotransmission processes. Our primary objective is to employ
Externí odkaz:
http://arxiv.org/abs/2406.06726
Autor:
Saburov, Mansoor
One could observe drastically different dynamics of zero-sum and non-zero-sum games under replicator equations. In zero-sum games, heteroclinic cycles naturally occur whenever the species of the population supersede each other in a cyclic fashion (li
Externí odkaz:
http://arxiv.org/abs/2208.01120
We study the set of $p$-adic Gibbs measures of the $q$-states Potts model on the Cayley tree of order three. We prove the vastness of the periodic $p$-adic Gibbs measures for such model by showing the chaotic behavior of the correspondence Potts--Bet
Externí odkaz:
http://arxiv.org/abs/1708.02152
In the present paper is devoted to the study of elliptic quadratic operator equations over the finite dimensional Euclidean space. We provide necessary and sufficient conditions for the existence of solutions of elliptic quadratic operator equations.
Externí odkaz:
http://arxiv.org/abs/1701.01990
In this paper, we study the dynamics of the Potts-Bethe mapping associated with the $p-$adic $q-$state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case $p\equiv 2 \ (mod \ 3)
Externí odkaz:
http://arxiv.org/abs/1610.09466
In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesgue quadratic stochastic operator on the set of all Lebesgue measures of the set [0,1]. Namel
Externí odkaz:
http://arxiv.org/abs/1601.01757
Publikováno v:
Jour. Stat. Mech. (2015), P05032
In this paper, we continue an investigation of the $p$-adic Ising-Vannimenus model on the Cayley tree of an arbitrary order $k$ $(k\geq 2$). We prove the existence of $p$-adic quasi Gibbs measures by analyzing fixed points of multi-dimensional $p$-ad
Externí odkaz:
http://arxiv.org/abs/1510.03129
The most frequently asked question in the $p-$adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains $\mathbb{Z}_p^{*}, \ \mathbb{Z}_p\setminus\mathbb{Z}_p^{*}, \ \mathbb{Z}_p, \ \mathbb{Q}_p\s
Externí odkaz:
http://arxiv.org/abs/1411.6945
Publikováno v:
J. Statistical Physics, 157(2014), 303-329
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum Markov states which are not quasi-equivalent. It turns out that the fou
Externí odkaz:
http://arxiv.org/abs/1311.6545
Publikováno v:
Abstract and Applied Analysis Volume 2013, Article ID 942038, 12 pages
A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra. The general problem in the nonlinear operator t
Externí odkaz:
http://arxiv.org/abs/1305.6371