getdoc85a3. 327KB Jun 04 2011 12:04:37 AM
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We first prove two results which both imply that for any sequence B of asymptotic density zero there exists an infinite sequence A such that the sum of any number of distinct
There are also some extra difficulties; for example we need to establish results related to the Cental Limit Theorem which are standard for random walks but apparently not
We prove the existence and uniqueness of a strong solution of a stochastic differential equation with normal reflection representing the random motion of finitely many globules..
Recently, the central limit theorem for product of sums has also been studied for dependent random variables (c.f., Gonchigdanzan and Rempala (2006)).. In this note, we will show
A central limit theorem for random walk in a random environment on marked Galton-Watson trees.. Gabriel
Key words: continuous-time Markov chain, law of large numbers, central limit theorem, large deviations, entropy production, time-reversed process.. AMS 2000 Subject
We now show how the uniform law of large numbers in Theorem 1.1 can be used to prove the hydrodynamic limits for the system of RWRE as stated in Theorem 1.4.. Proof of Theorem 1.4:
Nextly, Mursaleen [31] and Mur- saleen and Edely [32] have defined the almost strong regularity of matrices for double sequences and applied these matrices to establish a core