Servet Martı́nez

collaborators

3 papers

math.PR2015

Asymptotics for the heat kernel in multicone domains

Pierre Collet, Mauricio Duarte, Servet Martinez +2

A multi cone domain $Ω \subseteq R^{n}$ is an open, connected set that resembles a finite collection of cones far away from the origin. We study the rate of decay in time of…

math.PR2014

STIT Process and Trees

Servet Martínez, Werner Nagel

We study several constructions of the STIT tessellation process in a window of $\RR^\ell$ and supply an exact formula for its transition probability.

math.PR2014

The $β$ -Mixing Rate of STIT Tessellations

Servet Martínez, Werner Nagel

We consider homogeneous STIT tessellations $Y$ in the $ℓ$ -dimensional Euclidean space $R^{ℓ}$ and show that the (spatial) $β$ -mixing rate converges to zero.

Asymptotics for the heat kernel in multicone domains

STIT Process and Trees

The β-Mixing Rate of STIT Tessellations

The $β$ -Mixing Rate of STIT Tessellations