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math.PR2023
Operadic structure of boundary conditions for two-dimensional Markov Gaussian random fields on the lattice
Emilien Bodiot, Damien Simon
The theory of Markov processes on the square lattice has been given recently by the second author a new algebraic description in terms of operads. In particular, this new approach…
math.PR2023
One-dimensional discrete Gaussian Markov processes: Harmonic decomposition of invariant boundary conditions
Emilien Bodiot
We study invariant boundary conditions for one dimensional discrete Gaussian Markov processes, basic toy models of spatial Markov processes in statistical mechanics. More precisely…