maroon
发表于 2025-3-25 07:03:50
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不连贯
发表于 2025-3-25 09:32:27
Some Theorems Concerning 2-Dimensional Brownian Motionplane brownian motion. §1 is concerned with the process .(.)=|.(.)|, denoting the distance of the 2-dimensional separable Bachelier-Wiener process .(.) =.(.)+.(.) from the origin. We shall derive a law of the so-called strong type concerning the frequency of small values of .(.). This theorem dispro
EXCEL
发表于 2025-3-25 12:32:47
Recurrent Random Walk and Logarithmic Potentialses this fact has been studied intensely. Thus Hunt bases a general potential theory on transient continuous parameter processes, Doob and Hunt use the theory to construct boundaries for discrete parameter processes, Itô and McKean solve the problem of characterizing the recurrent
diabetes
发表于 2025-3-25 17:07:31
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下级
发表于 2025-3-26 00:03:38
Interaction of Markov Processesplicity let . be a countable (or finite) set, and consider a countable (or finite if . is finite) collection of independent Markov processes on .,with common transition function ...,., ., .. It is natural to assume constant invariant measure, i.e.,
landmark
发表于 2025-3-26 02:49:21
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graphy
发表于 2025-3-26 07:38:11
Asymptotic Laplace-Transforms.d. with short tails. In the discrete case it is assumed that .(.) is concentrated on ℤ and not on any proper subgroup of ℤ. Here one is interested in the weights.for . in some neighborhood of .. In the continuous case it is assumed that,C(.), the law of ., satisfies Cramér’s condition. Using techni
Cardioversion
发表于 2025-3-26 11:18:11
Higher Order Hydrodynamic Equations for a System of Independent Random Walksneous random walks. The main result states that, under some conditions on the increments of the random walk, the solution of the hydrodynamic equations of order n approximates the density of the original particle dynamics uniformly on time intervals for any γ > 0. Here . is the small paramet
evaculate
发表于 2025-3-26 15:39:50
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Mumble
发表于 2025-3-26 20:32:28
Relations Between Solutions to a Discrete and Continuous Dirichlet Probleme line segment . in .. Let ϕ be a piecewise continuous function on . which vanishes on .. U .. and let .(ϕ,•) be the harmonic function on . with boundary values ϕ. Thus △ϕ = O. The discrete analogue, or the analogue for a simple random walk with step size ., is a function .. (ϕ, •) on .. which sati