3 citations · 4 across the 8 of their papers we have counts for
9 papers
Reproduction matrix for an epidemic and lockdowns in a city
Vicente Acuña, María Paz Cortés, Andrew Hart +2
We consider an epidemic spreading in a city which is divided geographically into different districts. We introduce the reproduction matrix between districts…
Powers of Brownian Green Potentials
Claude Dellacherie, Mauricio Duarte, Servet Martínez +2
In this article we study stability properties of , the standard Green kernel for an open regular set in . In we show that is again a Green kernel of…
Entropy of absorbed Markov chains
Servet Martínez
We consider a strictly substochastic matrix or an stochastic matrix with absorbing states. By using quasi-stationary distributions one shows there is a canonical associated station…
A probabilistic analysis of a continuous-time evolution in recombination
Ian Letter, Servet Martínez
We study the continuous-time evolution of the recombination equation of population genetics. This evolution is given by a differential equation that acts on a product probability s…
Regenerative processes for Poisson zero polytopes
Servet Martínez, Werner Nagel
Let be a Markov process of tessellations of and the process of their zero cells (zero polytopes) which has the same distri…
STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of Convergence
Servet Martínez, Werner Nagel
We consider homogeneous STIT tessellations in the -dimensional Euclidean space . Based on results for the spatial -mixing coefficient an upper bound for…
The -Mixing Rate of STIT Tessellations
Servet Martínez, Werner Nagel
We consider homogeneous STIT tessellations in the -dimensional Euclidean space and show that the (spatial) -mixing rate converges to zero.
STIT Tessellations have trivial tail σ-algebra
Servet Martínez, Werner Nagel
We consider homogeneous STIT tessellations Y in the \ell-dimensional Euclidean space and show the triviality of the tail σ-algebra. This is a sharpening of the mixing result by Lac…
Attractiveness of the Haar measure for linear cellular automata on Markov subgroups
Alejandro Maass, Servet Mart\'{ı}nez, Marcus Pivato +1
For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Cesàro mean of the iterates of a Markov measure converges to the Haar measure. This is prov…