𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Upcrossings of the random walk

✍ Scribed by D. P. Johnson


Publisher
Akadmiai Kiad
Year
1991
Tongue
English
Weight
79 KB
Volume
57
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Random walk on the quadrant
✍ L.A.Klein Haneveld πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 63 KB
The two-state random walk
✍ George H. Weiss πŸ“‚ Article πŸ“… 1976 πŸ› Springer 🌐 English βš– 401 KB
The random walk theory of crack propagat
✍ A.S. Krausz πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 397 KB

Crack propagation is considered as a random walk process of consecutive atomic bond breaking and healing steps. The total number of steps is propo~ion~ to tfre propa~t~n time, and the difference of the number of breaking and healing steps is propo~ional to the location of the crack tip at that time.

Solution of the persistent, biased rando
✍ Ricardo GarcΓ­a-Pelayo πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 161 KB

The solution of the one-dimensional persistent, biased random walk is found. Its finite differences equation is derived and shown to be satisfied by the said solution.

The range of simple branching random wal
✍ Karl Grill πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 202 KB

We consider simple branching random walk, i.e., a Galton-Watson process in which each particle, as it is created, may randomly perform a unit step to the left or right. We show that for a supercritical BRW, the set of occupied points is eventually an interval. In addition, we give a limit law for t