In this paper, we give a general model of random walks in time-random environment in any countable space. Moreover, when the environment is independently identically distributed, a recurrence-transience criterion and ...In this paper, we give a general model of random walks in time-random environment in any countable space. Moreover, when the environment is independently identically distributed, a recurrence-transience criterion and the law of large numbers are derived in the nearest-neighbor case on Z^1. At last, under regularity conditions, we prove that the RWIRE {Xn} on Z^1 satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks.展开更多
The paper investigates Lp convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 〈 p 〈 2. The pa...The paper investigates Lp convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 〈 p 〈 2. The paper also discusses Lτ convergence and Lτ bound for random elements without any geometric restriction condition on the Banach space.展开更多
基金the Natural Science Foundation of Anhui Province （No. KJ2007B122） the Youth Teachers Aid Item of Anhui Province （No. 2007jq1117）.
文摘In this paper, we give a general model of random walks in time-random environment in any countable space. Moreover, when the environment is independently identically distributed, a recurrence-transience criterion and the law of large numbers are derived in the nearest-neighbor case on Z^1. At last, under regularity conditions, we prove that the RWIRE {Xn} on Z^1 satisfies a central limit theorem, which is similar to the corresponding results in the case of classical random walks.
基金Supported by National Natural Science Foundation of China(Grant No.70671018)
文摘The paper investigates Lp convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 〈 p 〈 2. The paper also discusses Lτ convergence and Lτ bound for random elements without any geometric restriction condition on the Banach space.
