Distribution 发表于 2025-3-23 12:25:31
Infinite-Dimensional Quadratic Operators, the notion of a Volterra quadratic operator and study its properties. Such operators have been studied by many authors (see for example (Ganikhodzhaev, Acad Sci Sb Math 76(2):489–506, 1993; Volterra, Association Franc. Lyon 1926:96–98, 1927)) in the finite-dimensional setting.蜿蜒而流 发表于 2025-3-23 15:03:26
http://reply.papertrans.cn/79/7815/781437/781437_12.pngconvert 发表于 2025-3-23 19:12:33
0075-8434 totic behavior of the dynamical systems they generate.This i.Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dyinterference 发表于 2025-3-23 23:47:36
http://reply.papertrans.cn/79/7815/781437/781437_14.png归功于 发表于 2025-3-24 05:00:09
Quantum Quadratic Stochastic Operators on ,, of such a description we provide an example of a positive q.q.s.o. which is not a Kadison–Schwarz operator. Note that such a characterization is related to the separability condition, which plays an important role in quantum information. We also study the stability of the dynamics of quadratic operators associated with q.q.s.o.s.配置 发表于 2025-3-24 09:13:27
Quantum Quadratic Stochastic Operators,rator which is called a .. We also study the asymptotically stability of the dynamics of quadratic operators. Moreover, in this chapter we recall the definition of quantum Markov chains and establish that each q.q.s.o. defines a quantum Markov chain.联想 发表于 2025-3-24 10:53:39
Quadratic Stochastic Processes,ely determine a q.s.p. This allows us to construct a discrete q.s.p. from a given q.s.o. Moreover, we provide other constructions of nontrivial examples of q.s.p.s. The weak ergodicity of q.s.p.s is also studied in terms of the marginal processes.guardianship 发表于 2025-3-24 16:39:58
http://reply.papertrans.cn/79/7815/781437/781437_18.pngSTERN 发表于 2025-3-24 22:19:38
Infinite-Dimensional Quadratic Operators, the notion of a Volterra quadratic operator and study its properties. Such operators have been studied by many authors (see for example (Ganikhodzhaev, Acad Sci Sb Math 76(2):489–506, 1993; Volterra, Association Franc. Lyon 1926:96–98, 1927)) in the finite-dimensional setting.巫婆 发表于 2025-3-24 23:43:23
Lecture Notes in Mathematicshttp://image.papertrans.cn/q/image/781437.jpg