A Gaussian Markovian process on a square lattice
- 1 March 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 10 (01) , 54-62
- https://doi.org/10.1017/s002190020004208x
Abstract
A definition of the Markovian property is given for a lattice process and a Gaussian Markovian lattice process is constructed on a torus lattice. From this a Gaussian Markovian process is constructed for a lattice in the plane and its properties are studied.Keywords
This publication has 7 references indexed in Scilit:
- Lattice Green's Functions for the Rectangular and the Square Lattices at Arbitrary PointsJournal of Mathematical Physics, 1971
- Physical nearest-neighbour models and non-linear time-seriesJournal of Applied Probability, 1971
- Markov Random Fields and Gibbs EnsemblesThe American Mathematical Monthly, 1971
- Homogeneous Gauss-Markov Random FieldsThe Annals of Mathematical Statistics, 1969
- On Gaussian Fields with Given Conditional DistributionsTheory of Probability and Its Applications, 1967
- Random walks on latticesPublished by American Mathematical Society (AMS) ,1964
- ON STATIONARY PROCESSES IN THE PLANEBiometrika, 1954