449 citations · 986 across the 29 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
math.PR2009
Ergodic Properties of Max-Infinitely Divisible Processes
Zakhar Kabluchko, Martin Schlather
We prove that a stationary max--infinitely divisible process is mixing (ergodic) iff its dependence function converges to 0 (is Cesaro summable to 0). These criteria are applied to…
math.PR2009
Random Marked Sets
Felix Ballani, Zakhar Kabluchko, Martin Schlather
We aim to link random fields and marked point processes and therefore introduce a new class of stochastic processes which are defined on a random set in R^d. Unlike for random fiel…