Random walks with variable step length on regular lattices
β Scribed by G. Zumofen; A. Blumen
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 295 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
N2 stud} random walks on reguhr lattlces, where the probabthty oi sreps oi length r 1s piopo~lonal tti rm6. For the diamond and the three cubic lattxes \e determme numenull) the average number of dlstmct snes S(n) vtstted m an tzstep walk. Applied to walks restncted to nearest-neghbor steps, our method qrees 1~1th the anal) tlcd expressions.
π SIMILAR VOLUMES
A one-dimensional random walk with unequa.1 step lengths restricted by tin absorbing barrier is considered as follows: (1) ezmmeration of the number of non-decreasing paths in a non-negative quadrant of the integral square lattice and in the inside of a polygon, (2) evaluatiion of trarlsient (or abs
Rccsl\cd 1 Jul> 1985 EKXI numencnl results an\_ reporlsd [or the problem of unbiased nearesr-netghbor random walks on small fimle d( 5 3)-dlmenslonal Cartesian Induces ullh a smgle tnp The (&ht) dcpcndcncr of the survival probablbly on SYsIcm dlmcnslonnllry abobe d = 3 1s compared uxlh the predlchon