On a random process interpolating between Markovian and non-Markovian random walks
- 21 February 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (3) , L121-L127
- https://doi.org/10.1088/0305-4470/17/3/006
Abstract
The authors give the exact solution in one dimension of the continuum analogue of a model of Stanley et al. (1983) which interpolates between Markovian (Polya) and self-avoiding random walks on lattices, and make some heuristic comments on the nature of phase transitions in the model in higher dimensions.Keywords
This publication has 9 references indexed in Scilit:
- Asymptotic Solution of Interacting Walks in One DimensionPhysical Review Letters, 1983
- Novel Superuniversal Behavior of a Random-Walk ModelPhysical Review Letters, 1983
- Random Walks: Theory and Selected ApplicationsPublished by Wiley ,1982
- Asymptotics for the wiener sausageCommunications on Pure and Applied Mathematics, 1975
- Cluster expansion for a polymer chainJournal of Physics C: Solid State Physics, 1972
- The range of transient random walkJournal d'Analyse Mathématique, 1971
- On the range of random walkIsrael Journal of Mathematics, 1968
- Random Walks on Lattices. IIJournal of Mathematical Physics, 1965
- The First Passage Problem for a Continuous Markov ProcessThe Annals of Mathematical Statistics, 1953