48 citations · 74 across the 10 of their papers we have counts for
12 papers
Metacommunity persistence on spatially heterogeneous landscapes
Manon Costa, Madeleine Kubasch, Nicolas Loeuille
We are interested in the long-time behaviour of the ecological dynamics of two competing species in a spatially heterogeneous environment consisting of two habitat types. Our goal…
(Almost) complete characterization of stability of a discrete-time Hawkes process with inhibition and memory of length two
Manon Costa, Pascal Maillard, Anthony Muraro
We consider a discrete-time version of a Hawkes process defined as a Poisson auto-regressive process whose parameters depend on the past of the trajectory. We allow these parameter…
Limit theorems for Hawkes processes including inhibition
Patrick Cattiaux, Laetitia Colombani, Manon Costa
In this paper we consider some non linear Hawkes processes with signed reproduction function (or memory kernel) thus exhibiting both self-excitation and inhibition. We provide a La…
Asymptotic deviation bounds for cumulative processes
Patrick Cattiaux, Laetitia Colombani, Manon Costa
The aim of this paper is to get asymptotic deviation bounds via a Large Deviation Principle (LDP) for cumulative processes also known as compound renewal processes or renewal-rewar…
Non asymptotic controls on a recursive superquantile approximation
Manon Costa, Sébastien Gadat
In this work, we study a new recursive stochastic algorithm for the joint estimation of quantile and superquantile of an unknown distribution. The novelty of this algorithm is to u…
Stochastic approximation algorithms for superquantiles estimation
Bernard Bercu, Manon Costa, Sébastien Gadat
This paper is devoted to two different two-time-scale stochastic approximation algorithms for superquantile estimation. We shall investigate the asymptotic behavior of a Robbins-Mo…
Survival criterion for a population subject to selection and mutations ; Application to temporally piecewise constant environments
Manon Costa, Christèle Etchegaray, Sepideh Mirrahimi
We study a parabolic Lotka-Volterra type equation that describes the evolution of a population structured by a phenotypic trait, under the effects of mutations and competition for…
Renewal in Hawkes processes with self-excitation and inhibition
Manon Costa, Carl Graham, Laurence Marsalle +1
This paper investigates Hawkes processes on the positive real line exhibiting both self-excitation and inhibition. Each point of this point process impacts its future intensity by…
Cytometry inference through adaptive atomic deconvolution
Manon Costa, Sébastien Gadat, Pauline Gonnord +1
In this paper we consider a statistical estimation problem known as atomic deconvolution. Introduced in reliability, this model has a direct application when considering biological…
A stochastic model for speciation by mating preferences
Camille Coron, Manon Costa, Hélène Leman +1
Mechanisms leading to speciation are a major focus in evolutionary biology. In this paper, we present and study a stochastic model of population where individuals, with type a or A…
A piecewise deterministic model for a prey-predator community
Manon Costa
We are interested in prey-predator communities where the predator population evolves much faster than the prey's (e.g. insect-tree communities). We introduce a piecewise determinis…
Stochastic eco-evolutionary model of a prey-predator community
Manon Costa, Céline Hauzy, Nicolas Loeuille +1
We are interested in the impact of natural selection in a prey-predator community. We introduce an individual-based model of the community that takes into account both prey and pre…