4 citations · 16 across the 16 of their papers we have counts for
12 papers · 1 filter
Gumbel convergence for maximal packing distances from uniform random samples
Sana Louhichi
Let be a sequence of i.i.d. -valued random variables uniformly distributed on a compact subset of . In this work, we study the asymptotic behavior of max…
Topological reconstruction of compact supports of dependent stationary random variables
Sadok Kallel, Sana Louhichi
In this paper we extend results on reconstruction of probabilistic supports of random i.i.d variables to supports of dependent stationary -valued random variables. All…
Dynamical coupling between Ising and FK percolation
Raphaël Cerf, Sana Louhichi
We investigate the problem of constructing a dynamics on edge--spin configurations which realizes a coupling between a Glauber dynamics of the Ising model and a dynamical evolution…
Multiplicative ergodicity of laplace transforms for additive functional of markov chains with application to age-dependent branching process
Loïc Hervé, Sana Louhichi, Françoise Pène
We study the exponential growth of bifurcating processes with ancestral dependence. We suppose here that the lifetimes of the cells are dependent random variables, that the numbers…
Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains
Loïc Hervé, Françoise Pène
We study properties of the Laplace transforms of non-negative additive functionals of Markov chains. We are namely interested in a multiplicative ergodicity property used in [18] t…
Functional Convergence of Linear Processes with Heavy-Tailed Innovations
Raluca M. Balan, Adam Jakubowski, Sana Louhichi
We study convergence in law of partial sums of linear processes with heavy-tailed innovations. In the case of summable coefficients necessary and sufficient conditions for the fini…