Luis Fredes

collaborators

3 papers

math.PR2025

A combinatorial perspective on the Kemeny constant and more

Luis Fredes, Jean-FranÃ§ois Marckert

Let $M$ be an irreducible transition matrix on a finite state space $V$ . For a Markov chain $C = (C_{k}, k \geq 0)$ with transition matrix $M$ , let $I ¨ _{u}^{\geq 1}$ denote the first posit…

math.PR2025

Characterisation of Markov property on planar maps

Pablo Araya, Luis Fredes, Avelio SepÃºlveda

We revisit, in a self contained way, the Markov property on planar maps and decorated planar maps from three perspectives. First, we characterize the laws on these planar maps that…

math.PR2024

Markov chains on trees: almost lower and upper directed cases

Luis Fredes, Jean-FranÃ§ois Marckert

The transition matrix of a Markov chain $(X_{k}, k \geq 0)$ on a finite or infinite rooted tree is said to be almost upper-directed if, given $X_{k}$ , the node $X_{k + 1}$ is either a desc…