Ligament
发表于 2025-3-25 03:36:59
Paul Turner,Glyn Volans,Heather Wisemanor Brownian motion and one for potentials—are mathematically equivalent. That is, the results of the two theories are in one-to-one correspondence and any proof of a result in one theory can be translated directly into a proof of the corresponding result in the other theory. In this chapter we shall
边缘带来墨水
发表于 2025-3-25 09:18:08
Paul Turner,Glyn Volans,Heather Wisemanit disk of two-dimensional Euclidean space. In two-space the boundary of the disk—namely the circle .—has the property that there is a one-one correspondence between the non-negative harmonic functions . in the disk and the non-negative Borel measures . on the circle.
Muscularis
发表于 2025-3-25 13:26:08
https://doi.org/10.1007/978-3-642-82595-8 non-negative superregular function is constant, and hence the representation of such functions degenerates. Moreover, since a recurrent chain is in every state infinitely often with probability one, an almost-everywhere convergence theorem is out of the question.
剧毒
发表于 2025-3-25 18:35:08
https://doi.org/10.1007/978-3-642-82595-8in an arbitrary countable parameter set .. Roughly, a random field with denumerable state space . is described by a probability measure . on the space . = . of all configurations of values from . on the generalized time set .. In this chapter we discuss certain extensions of Markov chains, called .
Microgram
发表于 2025-3-25 19:58:40
Denumerable Markov Chains978-1-4684-9455-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
灌溉
发表于 2025-3-26 03:42:56
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烧瓶
发表于 2025-3-26 06:08:10
Paul Turner,Glyn Volans,Heather Wisemanhat an arbitrary stochastic process may be considered as a process on a suitable . in which the outcome functions . are coordinate functions. We see, therefore, that in a sense no generality is lost by discussing Markov chains in terms of sequence space.
inhumane
发表于 2025-3-26 09:19:38
https://doi.org/10.1007/978-1-349-13937-8nt chains begins with a characterization of finite-valued non-negative superregular measures and functions; the reader should turn back to Sections 1-6c and 1-6d for the terms referred to in what follows.
angina-pectoris
发表于 2025-3-26 13:42:03
Paul Turner,Glyn Volans,Heather Wisemanit disk of two-dimensional Euclidean space. In two-space the boundary of the disk—namely the circle .—has the property that there is a one-one correspondence between the non-negative harmonic functions . in the disk and the non-negative Borel measures . on the circle.
大酒杯
发表于 2025-3-26 19:40:52
https://doi.org/10.1007/978-3-642-82595-8 non-negative superregular function is constant, and hence the representation of such functions degenerates. Moreover, since a recurrent chain is in every state infinitely often with probability one, an almost-everywhere convergence theorem is out of the question.