47 citations · 81 across the 10 of their papers we have counts for
12 papers
A system-centered probabilistic formalism linking multiple equilibria and biodiversity in ecological and evolutionary models
Hiba Nassor, Hermine Biermé, Elisabeth Herniou +1
Ecological and evolutionary communities do not always settle into a single predictable configuration. Models such as Lotka-Volterra or replicator dynamics may predict several admis…
Limit distribution of the sample volume fraction of Boolean set
Hermine Biermé, Olivier Durieu, Donatas Surgailis
We study the limit distribution of the volume fraction estimator (= the Lebesgue measure of the intersection of a random set $\mathcal{X}…
Generalized operator-scaling random ball model
Hermine Biermé, Olivier Durieu, Yizao Wang
This article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The mode…
Generalized random fields and Lévy's continuity theorem on the space of tempered distributions
Hermine Biermé, Olivier Durieu, Yizao Wang
In this note, we recall main properties of generalized random fields and present a proof of the continuity theorem of Paul Lévy for generalized random fields in the space of temper…
Modulus of continuity of some conditionally sub-Gaussian fields, application to stable random fields
Hermine Biermé, Céline Lacaux
In this paper, we study modulus of continuity and rate of convergence of series of conditionally sub-Gaussian random fields. This framework includes both classical series represent…
Invariance principles for operator-scaling Gaussian random fields
Hermine Biermé, Olivier Durieu, Yizao Wang
Recently, Hammond and Sheffield introduced a model of correlated random walks that scale to fractional Brownian motions with long-range dependence. In this paper, we consider a nat…