Pierre-André Zitt

40
Documents

Publications

7
6
4
4
3
3
3
3
3
2
2
2
2
2
2
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
4
4
1
1
1
1

Publications

Deposit thumbnail

Transformations Preserving the Effective Spectral Radius of a Matrix

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Linear and Multilinear Algebra, 2025, pp.1-7. ⟨10.1080/03081087.2024.2447523⟩

Article dans une revue hal-04200812v1

The effective reproduction number: convexity, concavity and invariance

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Journal of the European Mathematical Society, 2024, ⟨10.4171/jems/1431⟩

Article dans une revue hal-04231412v1
Deposit thumbnail

Individual based SIS models on (not so) dense large random networks

Jean-François Delmas , Paolo Frasca , Federica Garin , Viet Chi Tran , Aurélien Velleret et al.

ALEA : Latin American Journal of Probability and Mathematical Statistics, 2024, 21, pp.1375-1405. ⟨10.30757/ALEA.v21-52⟩

Article dans une revue hal-04240258v1
Deposit thumbnail

Asymptotics of the Inertia Moments and the Variance Conjecture in Schatten Balls

Benjamin Dadoun , Matthieu Fradelizi , Olivier Guédon , Pierre-André Zitt

Journal of Functional Analysis, In press, 284 (2), ⟨10.1016/j.jfa.2022.109741⟩

Article dans une revue hal-03428760v2
Deposit thumbnail

Optimal vaccination: various (counter) intuitive examples

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Journal of Mathematical Biology, 2023, 86 (2), pp.26. ⟨10.1007/s00285-022-01858-5⟩

Article dans une revue hal-03481721v1
Deposit thumbnail

Exact targeting of Gibbs distributions using velocity-jump processes

Pierre Monmarché , Mathias Rousset , Pierre-André Zitt

Stochastics and Partial Differential Equations: Analysis and Computations, 2022, ⟨10.1007/s40072-022-00247-9⟩

Article dans une revue hal-02916073v2
Deposit thumbnail

An Infinite-Dimensional Metapopulation SIS Model

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

Journal of Differential Equations, 2022, 313, pp.1-53. ⟨10.1016/j.jde.2021.12.024⟩

Article dans une revue hal-02867615v1

Convergence of metadynamics: discussion of the adiabatic hypothesis

Benjamin Jourdain , Tony Lelièvre , Pierre-André Zitt

The Annals of Applied Probability, 2021, 31 (5), pp.2441-2477. ⟨10.1214/20-AAP1652⟩

Article dans une revue hal-02104961v1
Deposit thumbnail

A Weak Overdamped Limit Theorem for Langevin Processes

Mathias Rousset , Yushun Xu , Pierre-André Zitt

ALEA : Latin American Journal of Probability and Mathematical Statistics, 2020, 17 (1), pp.1-21. ⟨10.30757/ALEA.v17-01⟩

Article dans une revue hal-01596954v2
Deposit thumbnail

Ergodicity of the zigzag process

Joris Bierkens , Gareth Roberts , Pierre-André Zitt

The Annals of Applied Probability, 2019, 29 (4), pp.2266-2301. ⟨10.1214/18-AAP1453⟩

Article dans une revue hal-01671825v2
Deposit thumbnail

Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence

Jean-Baptiste Bardet , Nathaël Gozlan , Florent Malrieu , Pierre-André Zitt

Bernoulli, 2018, 24 (1), pp.333-353. ⟨10.3150/16-BEJ879⟩

Article dans une revue hal-01172549v1
Deposit thumbnail

On the persistence regime for Lotka-Volterra in randomly fluctuating environments

Florent Malrieu , Pierre-André Zitt

ALEA : Latin American Journal of Probability and Mathematical Statistics, 2017, 14, pp.733-749

Article dans une revue hal-01264637v2
Deposit thumbnail

Qualitative properties of certain piecewise deterministic Markov processes

Michel Benaïm , Stéphane Le Borgne , Florent Malrieu , Pierre-André Zitt

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2015, 51 (3), pp.1040-1075. ⟨10.1214/14-AIHP619⟩

Article dans une revue hal-00688920v4
Deposit thumbnail

A Wright-Fisher model with indirect selection

Ludovic Goudenège , Pierre-André Zitt

Journal of Mathematical Biology, 2015, 71 (6), pp.1411-1450. ⟨10.1007/s00285-015-0859-2⟩

Article dans une revue hal-00925744v3
Deposit thumbnail

Piecewise deterministic Markov process - recent results

Romain Azaïs , Jean-Baptiste Bardet , Alexandre Genadot , Nathalie Krell , Pierre-André Zitt

ESAIM: Proceedings, 2014, Journées MAS 2012, 44, pp.276-290. ⟨10.1051/proc/201444017⟩

Article dans une revue hal-00865092v1
Deposit thumbnail

On the stability of planar randomly switched systems

Michel Benaïm , Stéphane Le Borgne , Florent Malrieu , Pierre-André Zitt

The Annals of Applied Probability, 2014, 24 (1), pp.292-311. ⟨10.1214/13-AAP924⟩

Article dans une revue hal-00686271v1
Deposit thumbnail

First order global asymptotics for confined particles with singular pair repulsion

Djalil Chafaï , Nathael Gozlan , Pierre-André Zitt

The Annals of Applied Probability, 2014, 24 (6), pp.2371-2413. ⟨10.1214/13-AAP980⟩

Article dans une revue hal-00818472v4
Deposit thumbnail

Total variation estimates for the TCP process

Jean-Baptiste Bardet , Alejandra Christen , Arnaud Guillin , Florent Malrieu , Pierre-André Zitt

Electronic Journal of Probability, 2013, 18 (10), pp.1-21. ⟨10.1214/EJP.v18-1720⟩

Article dans une revue hal-00655462v2
Deposit thumbnail

Efficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm.

Hervé Cardot , Peggy Cénac , Pierre-André Zitt

Bernoulli, 2013, 19 (1), p. 18-43. ⟨10.3150/11-BEJ390⟩

Article dans une revue hal-00558481v2
Deposit thumbnail

Poincaré inequalities and hitting times

Patrick Cattiaux , Arnaud Guillin , Pierre-André Zitt

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, 49 (1), p. 95-118. ⟨10.1214/11-AIHP447⟩

Article dans une revue hal-00550125v1
Deposit thumbnail

Recursive estimation of the conditional geometric median in Hilbert spaces

Hervé Cardot , Peggy Cénac , Pierre-André Zitt

Electronic Journal of Statistics , 2012, 6, p. 2535-2562. ⟨10.1214/12-EJS759⟩

Article dans une revue hal-00687762v1
Deposit thumbnail

Quantitative ergodicity for some switched dynamical systems

Michel Benaïm , Stéphane Le Borgne , Florent Malrieu , Pierre-André Zitt

Electronic Communications in Probability, 2012, 17 (56), pp.1-14. ⟨10.1214/ECP.v17-1932⟩

Article dans une revue hal-00686272v4
Deposit thumbnail

Super Poincaré inequalities, Orlicz norms and essential spectrum

Pierre-André Zitt

Potential Analysis, 2010, Online First, http://www.springerlink.com/content/e762065066852676/. ⟨10.1007/s11118-010-9203-z⟩

Article dans une revue hal-00426367v1
Deposit thumbnail

Functional inequalities and uniqueness of the Gibbs measure --- from log-Sobolev to Poincaré

Pierre-André Zitt

ESAIM: Probability and Statistics, 2008, 12, pp.258-272. ⟨10.1051/ps:2007054⟩

Article dans une revue hal-00130824v1
Deposit thumbnail

Annealing diffusions in a slowly growing potential

Pierre-André Zitt

Stochastic Processes and their Applications, 2008, 118 (1), pp.76-119. ⟨10.1016/j.spa.2007.04.002⟩

Article dans une revue hal-00084081v1
Deposit thumbnail

Improving the Resilience of Guided Transport Systems for Natural Risks

Michaël Gonzva , Pierre-Etienne Gautier , Bruno Barroca , Pierre-André Zitt , Youssef Diab

The Third International Conference on Railway Technology: Research, Development and Maintenance, Apr 2016, Cagliari, Italy

Communication dans un congrès hal-01676216v1
Deposit thumbnail

Algorithmes stochastiques et diffusions : l'étude par inégalités fonctionnelles

Pierre-André Zitt

Journées MAS et Journée en l'honneur de Jacques Neveu, INRIA Bordeaux - Sud-Ouest, Aug 2010, Talence, France

Communication dans un congrès inria-00510323v1
Deposit thumbnail

Probabilités - Préparation à l'agrégation interne

Djalil Chafaï , Pierre-André Zitt

Amazon Kindle Direct Publishing (service d'auto-publication), pp.163, 2020, 979-8639308604

Ouvrages hal-01374158v3
Deposit thumbnail

Equivalence by coupling for heterogeneous SIS models*

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2025

Pré-publication, Document de travail hal-05240688v1
Deposit thumbnail

Topological Properties of the Effective Reproduction Number in an Heterogeneous SIS Model

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2025

Pré-publication, Document de travail hal-05010699v1
Deposit thumbnail

Optimal Vaccination Strategies for an Heterogeneous SIS Model

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2025

Pré-publication, Document de travail hal-04997805v1

Optimal vaccinations: Cordons sanitaires, reducible population and optimal rays

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2024

Pré-publication, Document de travail hal-04506511v1
Deposit thumbnail

Atoms and associated spectral properties for positive operators on L^p

Jean-François Delmas , Kacem Lefki , Pierre-André Zitt

2023

Pré-publication, Document de travail (preprint/prepublication) hal-04245339v1

Vaccinating according to the maximal endemic equilibrium achieves herd immunity

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2024

Pré-publication, Document de travail hal-04506465v1
Deposit thumbnail

Effective reproduction number: convexity, invariance and cordons sanitaires

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2021

Pré-publication, Document de travail hal-03391546v1
Deposit thumbnail

Targeted Vaccination Strategies for an Infinite-dimensional SIS Model

Jean-François Delmas , Dylan Dronnier , Pierre-André Zitt

2021

Pré-publication, Document de travail hal-03171312v2
Deposit thumbnail

Reducing Variance by Reweighting Samples

Mathias Rousset , Yushun Xu , Pierre-André Zitt

2019

Pré-publication, Document de travail hal-01925646v2
Deposit thumbnail

Resonances for a diffusion with small noise

Markus Klein , Pierre-André Zitt

2008

Pré-publication, Document de travail hal-00276742v1