This paper extends the research of Wiegel (J. Math. Phys. 21 (1980) 2111) on random walks which differ from free random walks through the occurrence of an extra weightfactor ( 1) at every crossing of a half-line. Starting from a new closed-form expression for the weight distribution of these walks,
The strong liouville property for a class of random walks
โ Scribed by K. Bruce Erickson
- Publisher
- Springer Vienna
- Year
- 1990
- Tongue
- English
- Weight
- 506 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We define and calculate the entropy of some random walks which have two endpoints fixed, and for which displacements are allowed to take all possible values. An example is given in which the entropy can either be increased or decreased by imposing a constraint. It is also shown, by example, that whe
In this paper, the strong limit theorems for arbitrary stochastic sequences are studied. Some convergence theorems for martingale di erence sequence and a class of strong limit theorem for countable nonhomogeneous Markov chains are the particular cases of the results of this paper. Finally, the stro