On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three

In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a Cayley tree. By means of such constructions we prove the existence of a phase transition for the XY-model on a Cayley tree of order three in QMC scheme. By the phase transition we mean the existence of two now quasi equivalent QMC for the given family of interaction operators $\{K_{}\}$.Comment: 34 pages, 1 figur

Phase transitions for PP-adic Potts model on the Cayley tree of order three

In the present paper, we study a phase transition problem for the $q$-state $p$-adic Potts model over the Cayley tree of order three. We consider a more general notion of $p$-adic Gibbs measure which depends on parameter \rho\in\bq_p. Such a measure is called {\it generalized $p$-adic quasi Gibbs measure}. When $\rho$ equals to $p$-adic exponent, then it coincides with the $p$-adic Gibbs measure. When $\rho=p$, then it coincides with $p$-adic quasi Gibbs measure. Therefore, we investigate two regimes with respect to the value of $|\rho|_p$. Namely, in the first regime, one takes $\rho=\exp_p(J)$ for some J\in\bq_p, in the second one $|\rho|_p<1$. In each regime, we first find conditions for the existence of generalized $p$-adic quasi Gibbs measures. Furthermore, in the first regime, we establish the existence of the phase transition under some conditions. In the second regime, when $|\r|_p,|q|_p\leq p^{-2}$ we prove the existence of a quasi phase transition. It turns out that if $|\r|_p<|q-1|_p^2<1$ and \sqrt{-3}\in\bq_p, then one finds the existence of the strong phase transition.Comment: 27 page

Stability and monotonicity of Lotka–Volterra type operators

In the present paper,we investigate stability of trajectories ofLotka–Volterra (LV) type operators defined in finite dimensional simplex.We prove that any LV type operator is a surjection of the simplex. It is introduced a newclass of LV-type operators, called MLV type ones, and we show that trajectories of the introduced operators converge. Moreover, we show that such kind of operators have totally different behavior than f-monotone LV type operators

Влияния ингибитора синтаз оксида азота Т1023 на развитие лучевого пневмофиброза у крыс

The purpose of the work was to study the ability of the NOS inhibitor T1023 to prevent late radiation injuries. Methods: the effects of T1023 (75 mg / kg, once i.p. 30 minutes before the irradiation) on the development of post-radiation pulmonitis and pneumofibrosis in rats with thoracic exposure to g-radiation at  a dose of 12.5 Gy were studied histopathologically and morphometrically. The results of the studies showed that there wasn’t a significant objective effect of T1023 on the development of early radiation-induced lung injuries  (9 weeks after irradiation). But it prevented late radiation induced lung injuaries (26 weeks after irradiation) – there were a significant lesser pathomorphological manifestations of post-radiation pulmonitis, proliferation of connective tissue and the development of fibrotic changes in the lung parenchyma. At this stage, the action of T1023 clearly contributed to the preservation of the normal histostructure of the lungs, reducing by 40% the content of compaction zones in the parenchyma. The ability of the NOS inhibitor T1023 to significantly limit the development of lungs late radiation reaction confirms the promise of further development  of this compound as a means for prevention radiation therapy complications.Целью работы являлось изучение способности ингибитора синтаз оксида азота Т1023 к профилактике поздних лучевых повреждений. Методы работы включали гистопатологические и морфометрические исследования влияния радиозащитного действия соединения Т1023 (75 мг/кг, однократно внутрибрюшинно за 30 мин до облучения) на развитие постлучевого пульмонита и пневмофиброза у крыс при торакальном воздействии γ-излучения в дозе 12,5 Гр. Результаты исследований показали, что радиозащитное действие соединения Т1023 не оказывало существенного объективного влияния на раннем этапе (9 недель) развития радиационно-индуцированных повреждений легких. Но на этапе полного развития лучевой реакции легких (26 недель) превентивное радиозащитное действие Т1023 сопровождалось объективно выраженным и статистически значимым ограничением патоморфологических проявлений постлучевого пульмонита, разрастания соединительной ткани и развития фиброзных изменений в паренхиме легких. На этом сроке действие Т1023 отчетливо способствовало сохранению нормальной гистоструктуры легких, снижая на 40% содержание в паренхиме зон уплотнения. Показанная в работе способность ингибитора синтаз оксида азота Т1023 существенно ограничивать развитие поздней лучевой реакции легких подтверждает перспективность дальнейшей разработки этого соединения в качестве средства профилактики осложнений лучевой терапии

Reaching consensus via polynomial stochastic operators: A general study

In this paper, we consider a nonlinear protocol for a structured time-varying synchronous multi-agent system in which an opinion sharing dynamics is presented by non-autonomous polynomial stochastic operators associated with high-order stochastic hyper-matrices. We show that the proposed nonlinear protocol generates the Krause mean process. We provide a criterion to establish a consensus in the multi-agent system under the proposed nonlinear protoco

The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three

We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of the cubic monomial equation over Q

Speech at the 20th Congress of the C.P.S.U., February 22, 1956

Speech At The First All Union Congress Of Collective Farm Shock Brigade WorkersSpeech originally given in Russian.The International Labour and Radical History Pamphlet Collection consists of over 2200 pamphlets representing a broad spectrum of leftist opinion, including communists, socialists, liberal reformers, trade unionists, civil libertarians and antiwar activists. The majority of the pamphlets are in English and were published between 1920-1970 in the United States, the Soviet Union, Great Britain, Canada and China. There are also a number of earlier Fabian Society publications. Further information: http://www.library.mun.ca/asc/specialcollections/collections/radica

Speech at the 20th Congress of the C.P.S.U., February 22, 1956

Speech at the 20th Congress of the CPSUSpeech originally given in Russian.The International Labour and Radical History Pamphlet Collection consists of over 2200 pamphlets representing a broad spectrum of leftist opinion, including communists, socialists, liberal reformers, trade unionists, civil libertarians and antiwar activists. The majority of the pamphlets are in English and were published between 1920-1970 in the United States, the Soviet Union, Great Britain, Canada and China. There are also a number of earlier Fabian Society publications. Further information: http://www.library.mun.ca/asc/specialcollections/collections/radica