排序方式: 共有11条查询结果,搜索用时 109 毫秒
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The 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. The iterative Newton-Kantorovich method for stable solutions is also presented.
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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 are trivial. In general setting, i.e., when the algebra is not associative, we provide a su?cient condition to get trivial derivation on generic Volterra algebras. Furthermore, we describe all derivations of three dimensional generic Volterra algebras, which allowed us to prove that any local derivation is a derivation of the algebra. 相似文献
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Ganikhodzhaev N. N. Rozikov U. A. Khatamov N. M. 《Theoretical and Mathematical Physics》2022,211(3):856-865
Theoretical and Mathematical Physics - We study the Blume–Capel model with a countable set $$\mathbb Z$$ of spin values and a force $$J\in \mathbb R$$ of interaction between the nearest... 相似文献
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Ganikhodzhaev N. N. Mukhamedov F. M. Rozikov U. A. 《Theoretical and Mathematical Physics》2002,130(3):425-431
We consider the Potts model on the set in the field Q
p of p-adic numbers. The range of the spin variables (n),
, in this model is
. We show that there are some values q=q(p) for which phase transitions occur. 相似文献
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The uniqueness of the translation-invariant extreme Gibbs measure for the antiferromagnetic Potts model with an external field
and the existence of an uncountable number of extreme Gibbs measures for the Ising model with an external field on the Cayley
tree are proved. The classes of normal subgroups of finite index of the Cayley tree group representation are constructed.
The periodic extreme Gibbs measures, which are invariant with respect to subgroups of index 2, are constructed for the Ising
model with zero external field. From these measures, the existence of an uncountable number of nonperiodic extreme Gibbs measures
for the antiferromagnatic Ising model follows.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 1, pp. 109–117, April, 1997. 相似文献
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In this paper, a class of representations of uniformly hyperfinite algebras is constructed and the corresponding von Neumann algebras are studied. It is proved that, under certain conditions, the Markov states generate factors of type IIIλ, where λ ∈ (0,1), in the GNS representation; this gives a negative answer to the conjecture that the factors corresponding to Hamiltonians with nontrivial interactions have type III. It is shown that, for a certain class of Hamiltonians, there exists a unique translation-invariant ground state. 相似文献
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Rasul Ganikhodzhaev 《Linear algebra and its applications》2010,432(1):24-35
In the present we introduce a concept of doubly stochastic quadratic operator. We study necessary and sufficient conditions for doubly stochasticity of operator. Moreover, we study analogue of Birkhoff’s theorem for the class of doubly stochastic operators. 相似文献