animated
发表于 2025-3-25 03:59:03
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厚颜
发表于 2025-3-25 10:27:20
Advanced Lectures in Mathematicshttp://image.papertrans.cn/i/image/473862.jpg
审问
发表于 2025-3-25 13:31:13
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可触知
发表于 2025-3-25 16:24:24
Transient statesAs in the preceding chapter we fix a Markov chain on a finite state space .. The notation will be as before: ..,..., .. are the minimal closed sets, and . := .(.. U ... U ..).
残酷的地方
发表于 2025-3-25 21:29:26
An analytical lemmaLet . = (.., .., ...) and . = (.., .., ...) be real sequences. Their . is defined to be the sequence ..
genesis
发表于 2025-3-26 03:13:06
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眉毛
发表于 2025-3-26 04:21:58
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connoisseur
发表于 2025-3-26 10:42:18
Perron-Frobenius theoryIn this chapter we aim at understanding why the . of the transition matrix . of a chain play a fundamental role for the rate of convergence to the equilibrium distribution. Also we will discuss some other far-reaching algebraic consequences of the fact that a square matrix is stochastic..
transplantation
发表于 2025-3-26 16:05:35
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esculent
发表于 2025-3-26 18:28:09
Stopping times and the strong Markov propertyThis chapter prepares our investigations of how . can be used to bound mixing rates, it also will be of importance in chapter 14.