calculations indicate that the transverse displacement and free energy fluctuations of 1 + 1 dimensional directed random walks in media with sign randomness are characterized by the same exponents as directed walks in ordinary random media, with positive statistical weights. Professor Michael E. Fi
Random walks with killing
β Scribed by Neal Madras
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 879 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
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## Abstract For most structures (molecules, graphs, lattices) a count of random walks for nonequivalent sites will give different numbers, particularly for walks of many steps. Occasionally one finds the same count of walks for nonequivalent sites. These have been termed βunusual walksβ and have be
We use a technique based on Toeplitz matrices to calculate the probability distribution for certain random walks on a lattice in continuous time where the walker can take steps of various sizes in each direction and where the probability of a step depends on the nature of a finite set of previous st