Publications HAL de ETIENNE PARDOUX du labo/EPI I2M;LATP;IML

2023

Journal articles

titre
Multi-patch epidemic models with general exposed and infectious periods
auteur
Guodong Pang, Étienne Pardoux
article
ESAIM: Probability and Statistics, 2023, 27, pp.345-401. ⟨10.1051/ps/2023003⟩
identifiant
hal-04462899
Resume_court
We study multi-patch epidemic models where individuals may migrate from one patch to another in eith .....
typdoc
Journal articles
DOI
DOI : 10.1051/ps/2023003
Accès au bibtex
https://arxiv.org/pdf/2006.14412 BibTex
titre
A spatial stochastic epidemic model: law of large numbers and central limit theorem
auteur
S. Bowong, A. Emakoua, Etienne Pardoux
article
Stochastics and Partial Differential Equations: Analysis and Computations, 2023, 11, pp.31-105. ⟨10.1007/s40072-021-00221-x⟩
identifiant
hal-04088204
Resume_court
We consider an individual-based SIR stochastic epidemic model in continuous space. The evolution of .....
typdoc
Journal articles
DOI
DOI : 10.1007/s40072-021-00221-x
Accès au texte intégral et bibtex
https://hal.science/hal-04088204/file/BowongEmakouaPardoux.pdf BibTex
titre
Functional Law of Large Numbers and PDEs for Epidemic Models with Infection-Age Dependent Infectivity
auteur
Guodong Pang, Étienne Pardoux
article
Applied Mathematics and Optimization, 2023, 87 (3), pp.50. ⟨10.1007/s00245-022-09963-z⟩
identifiant
hal-04088202
Resume_court
We study epidemic models where the infectivity of each individual is a random function of the infect .....
typdoc
Journal articles
DOI
DOI : 10.1007/s00245-022-09963-z
Accès au bibtex
https://arxiv.org/pdf/2106.03758 BibTex

Preprints, Working Papers, ...

titre
The Height Process of a Continuous-State Branching Process with Interaction
auteur
Zenghu Li, Etienne Pardoux, Anton Wakolbinger
article
2023
identifiant
hal-03119069
typdoc
Preprints, Working Papers, ...
DOI
DOI : 10.1007/s10959-020-01054-5
Accès au texte intégral et bibtex
https://hal.science/hal-03119069/file/1904.04151.pdf BibTex
titre
Metastability between the clicks of the Muller ratchet
auteur
Mauro Mariani, Etienne Pardoux, Aurélien Velleret
article
2023
identifiant
hal-04283558
Resume_court
We prove the existence and uniqueness of a quasi-stationary distribution for three stochastic proces .....
typdoc
Preprints, Working Papers, ...
Accès au bibtex
https://arxiv.org/pdf/2007.14715 BibTex

2022

Journal articles

titre
Conditional propagation of chaos in a spatial stochastic epidemic model with common noise
auteur
Yen Vuong, Maxime Hauray, Étienne Pardoux
article
Stochastics and Partial Differential Equations: Analysis and Computations, 2022, 10 (3), pp.1180-1210. ⟨10.1007/s40072-022-00268-4⟩
identifiant
hal-03815891
typdoc
Journal articles
DOI
DOI : 10.1007/s40072-022-00268-4
Accès au bibtex
https://arxiv.org/pdf/2111.02733 BibTex
titre
Functional central limit theorems for epidemic models with varying infectivity
auteur
Guodong Pang, Étienne Pardoux
article
Stochastics: An International Journal of Probability and Stochastic Processes, 2022, 95 (5), pp.819-866. ⟨10.1080/17442508.2022.2124870⟩
identifiant
hal-04465407
Resume_court
In this paper, we prove a functional central limit theorem (FCLT) for a stochastic epidemic model wi .....
typdoc
Journal articles
DOI
DOI : 10.1080/17442508.2022.2124870
Accès au texte intégral et bibtex
https://hal.science/hal-04465407/file/FCLT-Varying_Infectivity_Revision5.pdf BibTex
titre
Household epidemic models and McKean–Vlasov Poisson driven stochastic differential equations
auteur
Raphaël Forien, Étienne Pardoux
article
The Annals of Applied Probability, 2022, 32 (2), pp.1210-1233. ⟨10.1214/21-AAP1706⟩
identifiant
hal-03665718
Resume_court
This paper presents a new view of household epidemic models, where we exploit the fact that the inte .....
typdoc
Journal articles
DOI
DOI : 10.1214/21-AAP1706
Accès au bibtex
https://arxiv.org/pdf/1907.03001 BibTex
titre
Functional limit theorems for non-Markovian epidemic models
auteur
Guodong Pang, Étienne Pardoux
article
The Annals of Applied Probability, 2022, 32 (3), ⟨10.1214/21-AAP1717⟩
identifiant
hal-03684152
typdoc
Journal articles
DOI
DOI : 10.1214/21-AAP1717
Accès au bibtex
https://arxiv.org/pdf/2003.03249 BibTex
titre
The Height Process of a Continuous-State Branching Process with Interaction
auteur
Zenghu Li, Etienne Pardoux, Anton Wakolbinger
article
Journal of Theoretical Probability, 2022, 35 (1), pp.142-185. ⟨10.1007/s10959-020-01054-5⟩
identifiant
hal-03665716
typdoc
Journal articles
DOI
DOI : 10.1007/s10959-020-01054-5
Accès au bibtex
BibTex
titre
Multi-patch multi-group epidemic model with varying infectivity
auteur
Raphael Forien, Guodong Pang, Etienne Pardoux
article
Probability, Uncertainty and Quantitative Risk, 2022, 7 (4), pp.333-364. ⟨10.3934/puqr.2022019⟩
identifiant
hal-03815881
Resume_court
This paper presents a law of large numbers result, as the size of the population tends to infinity, .....
typdoc
Journal articles
DOI
DOI : 10.3934/puqr.2022019
Accès au bibtex
https://arxiv.org/pdf/2111.06231 BibTex

2021

Journal articles

titre
Fluctuations Around a Homogenised Semilinear Random PDE
auteur
Martin Hairer, Etienne Pardoux
article
Archive for Rational Mechanics and Analysis, 2021, 239 (1), pp.151-217. ⟨10.1007/s00205-020-01574-8⟩
identifiant
hal-03119140
Resume_court
We consider a semilinear parabolic partial differential equation in R + ×[0, 1] d , where d = 1, 2 .....
typdoc
Journal articles
DOI
DOI : 10.1007/s00205-020-01574-8
Accès au texte intégral et bibtex
https://hal.science/hal-03119140/file/Hairer-Pardoux2021_Article_FluctuationsAroundAHomogenised.pdf BibTex
titre
A SIR Model on a Refining Spatial Grid I: Law of Large Numbers
auteur
M. N’zi, Etienne Pardoux, T. Yeo
article
Applied Mathematics and Optimization, 2021, 83 (2), pp.1153-1189. ⟨10.1007/s00245-019-09582-1⟩
identifiant
hal-03272420
typdoc
Journal articles
DOI
DOI : 10.1007/s00245-019-09582-1
Accès au bibtex
BibTex
titre
Estimating the state of the COVID-19 epidemic in France using a model with memory
auteur
Raphaël Forien, Guodong Pang, Etienne Pardoux
article
Royal Society Open Science, 2021, 8 (3), ⟨10.1098/rsos.202327⟩
identifiant
hal-03273287
Resume_court
In this paper, we use a deterministic epidemic model with memory to estimate the state of the COVID- .....
typdoc
Journal articles
DOI
DOI : 10.1098/rsos.202327
pubmedId
Pubmed icone : 33959371
Accès au texte intégral et bibtex
https://hal.science/hal-03273287/file/2021_Forien_rsos.pdf BibTex
titre
Epidemic Models with Varying Infectivity
auteur
Raphaël Forien, Guodong Pang, Etienne Pardoux
article
SIAM Journal on Applied Mathematics, 2021, 81 (5), pp.1893-1930. ⟨10.1137/20M1353976⟩
identifiant
hal-03348268
Resume_court
We introduce an epidemic model with varying infectivity and general exposed and infectious periods, .....
typdoc
Journal articles
DOI
DOI : 10.1137/20M1353976
Accès au texte intégral et bibtex
https://hal.science/hal-03348268/file/2006.15377.pdf BibTex
titre
Estimating the state of the Covid-19 epidemic in France using a model with memory
auteur
Raphaël Forien, Guodong Pang, Etienne Pardoux
article
Royal Society Open Science, 2021, 8 (3), pp.1-31
identifiant
hal-02902471
Resume_court
In this paper, we use a deterministic non-Markovian epidemic model to estimate the state of the Covi .....
typdoc
Journal articles
Accès au texte intégral et bibtex
https://hal.science/hal-02902471/file/fit_covid19-final.pdf BibTex

Books

titre
Stochastic Partial Differential Equations
auteur
Etienne Pardoux
article
Springer International Publishing, 2021, SpringerBriefs in Mathematics, ⟨10.1007/978-3-030-89003-2⟩
identifiant
hal-03430202
typdoc
Books
DOI
DOI : 10.1007/978-3-030-89003-2
Accès au bibtex
BibTex

Preprints, Working Papers, ...

titre
Epidemic models with varying infectivity
auteur
Raphaël Forien, Guodong Pang, Étienne Pardoux
article
2021
identifiant
hal-03343088
Resume_court
We introduce an epidemic model with varying infectivity and general exposed and infectious periods, .....
typdoc
Preprints, Working Papers, ...
Accès au bibtex
https://arxiv.org/pdf/2006.15377 BibTex
titre
Recent Advances in Epidemic Modeling: Non-Markov Stochastic Models and their Scaling Limits
auteur
Raphaël Forien, Guodong Pang, Étienne Pardoux
article
2021
identifiant
hal-03343090
Resume_court
In this survey paper, we review the recent advances in individual based non--Markovian epidemic mode .....
typdoc
Preprints, Working Papers, ...
DOI
DOI : 10.48550/arXiv.2106.08466
Accès au bibtex
https://arxiv.org/pdf/2106.08466 BibTex

2020

Journal articles

titre
Moderate deviations and extinction of an epidemic
auteur
Etienne Pardoux
article
Electronic Journal of Probability, 2020, 25, ⟨10.1214/20-EJP428⟩
identifiant
hal-03119055
Resume_court
Consider an epidemic model with a constant flux of susceptibles, in a situation where the correspond .....
typdoc
Journal articles
DOI
DOI : 10.1214/20-EJP428
Accès au bibtex
https://arxiv.org/pdf/1905.08986 BibTex
titre
Extinction time and the total mass of the continuous-state branching processes with competition
auteur
Vi Le, Etienne Pardoux
article
Stochastics: An International Journal of Probability and Stochastic Processes, 2020, 92 (6), pp.852-875. ⟨10.1080/17442508.2019.1677661⟩
identifiant
hal-03119123
typdoc
Journal articles
DOI
DOI : 10.1080/17442508.2019.1677661
Accès au bibtex
BibTex
titre
Large Deviations of the Exit Measure through a Characteristic Boundary for a Poisson driven SDE
auteur
Etienne Pardoux, Brice Samegni-Kepgnou
article
ESAIM: Probability and Statistics, 2020, 24, pp.148-185. ⟨10.1051/ps/2019031⟩
identifiant
hal-03119047
Resume_court
Let O be the basin of attraction of a given equilibrium of a dynamical system, whose solution is the .....
typdoc
Journal articles
DOI
DOI : 10.1051/ps/2019031
Accès au bibtex
https://arxiv.org/pdf/1808.04991 BibTex
titre
Approximation of the height process of a continuous state branching process with interaction
auteur
Ibrahima Dramé, Etienne Pardoux
article
Theory of Probability and Mathematical Statistics, 2020, 103, pp.3-39. ⟨10.1090/tpms/1133⟩
identifiant
hal-03348277
typdoc
Journal articles
DOI
DOI : 10.1090/tpms/1133
Accès au bibtex
BibTex

Book sections

titre
Deviations From the Law of Large Numbers and Extinction of an Endemic Disease
auteur
Etienne Pardoux
article
Mathematical Modeling of Random and Deterministic Phenomena, 1, Wiley, 2020, ⟨10.1002/9781119706922.ch1⟩
identifiant
hal-03119060
typdoc
Book sections
DOI
DOI : 10.1002/9781119706922.ch1
Accès au bibtex
BibTex

Preprints, Working Papers, ...

titre
Approximation of the Height process of a CSBP with interaction
auteur
Ibrahima Dramé, Etienne Pardoux
article
2020
identifiant
hal-02467516
Resume_court
In this work, we first show that the properly rescaled height process of the genealogical tree of a .....
typdoc
Preprints, Working Papers, ...
Accès au bibtex
https://arxiv.org/pdf/1706.06892 BibTex

2019

Journal articles

titre
Small jumps asymptotic of the moving optimum Poissonian SDE
auteur
Elma Nassar, Etienne Pardoux
article
Stochastic Processes and their Applications, 2019, 129 (7), pp.2320-2340. ⟨10.1016/j.spa.2018.07.010⟩
identifiant
hal-02418193
typdoc
Journal articles
DOI
DOI : 10.1016/j.spa.2018.07.010
Accès au texte intégral et bibtex
https://hal.science/hal-02418193/file/S0304414918303260.pdf BibTex
titre
Large deviation principle for reflected Poisson driven stochastic differential equations in epidemic models
auteur
Etienne Pardoux, Brice Samegni-Kepgnou
article
Stochastic Analysis and Applications, 2019, 37 (5), pp.836-864. ⟨10.1080/07362994.2019.1616556⟩
identifiant
hal-02418185
typdoc
Journal articles
DOI
DOI : 10.1080/07362994.2019.1616556
Accès au bibtex
BibTex

2018

Journal articles

titre
Approximation of a generalized continuous-state branching process with interaction
auteur
Ibrahima Dramé, Etienne Pardoux
article
Electronic Communications in Probability, 2018, 23, pp.73. ⟨10.1214/18-ECP176⟩
identifiant
hal-01974468
Resume_court
In this work, we consider a continuous-time branching process with interaction where the birth and d .....
typdoc
Journal articles
DOI
DOI : 10.1214/18-ECP176
Accès au bibtex
BibTex
titre
Soluble HLA-G Expression Inversely Correlates With Fetal Microchimerism Levels in Peripheral Blood From Women With Scleroderma
auteur
Julie Di Cristofaro, Karlin Karlmark, Sami Kanaan, Doua Azzouz, Marina El Haddad, Lucas Hubert, Dominique Farge-Bancel, Brigitte Granel, Jean Robert Harlé, Eric Hachulla, Etienne Pardoux, Jean Roudier, Christophe Picard, Nathalie Lambert
article
Frontiers in Immunology, 2018, 9, pp.1685. ⟨10.3389/fimmu.2018.01685⟩
identifiant
hal-01869408
typdoc
Journal articles
DOI
DOI : 10.3389/fimmu.2018.01685
pubmedId
Pubmed icone : 30158921
Accès au texte intégral et bibtex
https://hal.science/hal-01869408/file/Soluble%20HLA-G%20Expression%20Inversely%20Correlates%20With%20Fetal%20Microchimerism%20Levels%20in%20Peripheral%20Blood%20From%20Women%20With%20Scleroderma.pdf BibTex
titre
Phenotypic lag and population extinction in the moving-optimum model: insights from a small-jumps limit
auteur
Michael Kopp, Elma Nassar, Etienne Pardoux
article
Journal of Mathematical Biology, 2018, 77 (5), pp.1431-1458. ⟨10.1007/s00285-018-1258-2⟩
identifiant
hal-02075866
Resume_court
Continuous environmental change-such as slowly rising temperatures-may create permanent maladaptatio .....
typdoc
Journal articles
DOI
DOI : 10.1007/s00285-018-1258-2
Accès au texte intégral et bibtex
https://hal.science/hal-02075866/file/KoppNassarPardoux_moveopt.pdf BibTex

Book sections

titre
Large deviations for infectious diseases models
auteur
Peter Kratz, Etienne Pardoux
article
C. Donati-Martin, A. Lejay, A. Rouault. SEMINAIRE DE PROBABILITES XLIX, 2215, Springer, pp.221 - 327, 2018, Lecture Notes in Mathematics, 0075-8434
identifiant
hal-01272004
Resume_court
We establish large deviation estimates for Poisson driven models of infectious disease, and apply th .....
typdoc
Book sections
Accès au bibtex
https://arxiv.org/pdf/1602.02803 BibTex

2017

Journal articles

titre
Large deviation principle for epidemic models
auteur
Etienne Pardoux, Brice Samegni-Kepgnou
article
Journal of Applied Probability, 2017, 54 (3), pp.905-920. ⟨10.1017/jpr.2017.41⟩
identifiant
hal-01330256
Resume_court
We consider a general class of epidemic models obtained by applying the random time changes of Ethie .....
typdoc
Journal articles
DOI
DOI : 10.1017/jpr.2017.41
Accès au bibtex
https://arxiv.org/pdf/1606.01619 BibTex
titre
Non-binary branching process and non-Markovian exploration process
auteur
Ibrahima Dramé, Etienne Pardoux, Ahmadou Bamba Sow
article
ESAIM: Probability and Statistics, 2017, 21, pp.1 - 33. ⟨10.1051/ps/2016027⟩
identifiant
hal-01516048
Resume_court
We study both a continuous time non-binary Galton−Watson random tree and its explo- ration (or hei .....
typdoc
Journal articles
DOI
DOI : 10.1051/ps/2016027
Accès au bibtex
BibTex
titre
Continuity of the Feynman-Kac formula for a generalized parabolic equation
auteur
Etienne Pardoux, Aurel Rascanu
article
Stochastics and Stochastics Reports, 2017, 89, pp.726-752. ⟨10.1080/17442508.2016.1276911⟩
identifiant
hal-01267325
Resume_court
It is well-known since the work of Pardoux and Peng [12] that Backward Stochastic Differential Equat .....
typdoc
Journal articles
DOI
DOI : 10.1080/17442508.2016.1276911
Accès au bibtex
https://arxiv.org/pdf/1602.01309 BibTex
titre
On the large time behaviour of the solution of an SDE driven by a Poisson Point Process
auteur
Elma Nassar, Etienne Pardoux
article
Advances in Applied Probability, 2017, 49, pp.344 - 367. ⟨10.1017/apr.2017.4⟩
identifiant
hal-01267328
Resume_court
We study a stochastic differential equation driven by a Poisson point process, which models continuo .....
typdoc
Journal articles
DOI
DOI : 10.1017/apr.2017.4
Accès au bibtex
https://arxiv.org/pdf/1602.01325 BibTex
titre
Nonlinear filtering with degenerate noise
auteur
Etienne Pardoux, David Jaures Fotsa-Mbogne
article
Electronic Communications in Probability, 2017, 22 (44), pp.1 - 14. ⟨10.1214/17-ECP74⟩
identifiant
hal-01622215
Resume_court
This paper studies a new type of filtering problem, where the diffusion coefficient of the observati .....
typdoc
Journal articles
DOI
DOI : 10.1214/17-ECP74
Accès au bibtex
BibTex
titre
Averaging for BSDEs with null recurrent fast component. Application to homogenization in a non periodic media
auteur
Khaled Bahlali, Abouo Elouaflin, Etienne Pardoux
article
Stochastic Processes and their Applications, 2017, 127, pp.1321-1353. ⟨10.1016/j.spa.2016.08.001⟩
identifiant
hal-01516020
Resume_court
We establish an averaging principle for a family of solutions (Xε,Yε) := (X1,ε, X2,ε, Yε) of a .....
typdoc
Journal articles
DOI
DOI : 10.1016/j.spa.2016.08.001
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BibTex
titre
TMEM187-IRAK1 Polymorphisms Associated with Rheumatoid Arthritis Susceptibility in Tunisian and French Female Populations: Influence of Geographic Origin
auteur
Olfa Khalifa, Nathalie Balandraud, Nathalie Lambert, Isabelle Auger, Jean Roudier, Audrey Sénéchal, David Geneviève, Christophe Picard, Gérard Lefranc, Isabelle Touitou, Bakridine M’madi Mrenda, Cécilia Benedito, Etienne Pardoux, Anne-Laure Gagez, Yves-Marie Pers, Christian Jorgensen, Touhami Mahjoub, Florence Apparailly
article
Journal of Immunology Research, 2017, 2017, pp.1 - 12 / 4915950. ⟨10.1155/2017/4915950⟩
identifiant
hal-01488124
Resume_court
Polymorphisms have been identified in the Xq28 locus as risk loci for rheumatoid arthritis (RA). Her .....
typdoc
Journal articles
DOI
DOI : 10.1155/2017/4915950
Accès au texte intégral et bibtex
https://hal.science/hal-01488124/file/4915950.pdf BibTex

2016

Books

titre
Probabilistic Models of Population Evolution
auteur
Etienne Pardoux
article
Mathematical Biosciences Institute, Columbus, OH, USA. Springer, Stochastocs in Biological Systems (1.6), 125 p., 2016, Mathematical Biosciences Institute Lecture Series Michael Reed, Richard Durrett, 978-3-319-30328-4. ⟨10.1007/978-3-319-30328-4⟩
identifiant
hal-01478843
typdoc
Books
DOI
DOI : 10.1007/978-3-319-30328-4
Accès au bibtex
BibTex

2015

Journal articles

titre
Lambda-lookdown model with selection
auteur
Boubacar Bah, Etienne Pardoux
article
Stochastic Processes and their Applications, 2015, 125 (3), pp.1089-1126. ⟨10.1016/j.spa.2014.10.014⟩
identifiant
hal-01231706
Resume_court
The goal of this paper is to study the lookdown model with selection in the case of a population con .....
typdoc
Journal articles
DOI
DOI : 10.1016/j.spa.2014.10.014
Accès au bibtex
https://arxiv.org/pdf/1303.1953v3 BibTex
titre
A mixing tree-valued process arising under neutral evolution with recombination
auteur
Andrej Depperschmidt, Étienne Pardoux, Peter Pfaffelhuber
article
Electronic Journal of Probability, 2015, 20, pp.1-22. ⟨10.1214/EJP.v20-4286⟩
identifiant
hal-01237957
Resume_court
The genealogy at a single locus of a constant size N population in equilibrium is given by the well- .....
typdoc
Journal articles
DOI
DOI : 10.1214/EJP.v20-4286
Accès au texte intégral et bibtex
https://amu.hal.science/hal-01237957/file/4286-22857-1-PB.pdf BibTex
titre
A path-valued Markov process indexed by the ancestral mass
auteur
Etienne Pardoux, Anton Wakolbinger
article
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2015, 12 (1), pp.193-212
identifiant
hal-01231771
Resume_court
A family of Feller branching diffusions $Z^x$, $x \ge 0$, with nonlinear drift and initial value $x$ .....
typdoc
Journal articles
Accès au bibtex
https://arxiv.org/pdf/1409.1901 BibTex
titre
Stochastic Variational Inequalities on Non-Convex Domains
auteur
Rainer Buckdahn, Lucian Maticiuc, Etienne Pardoux, Aurel Răşcanu
article
Journal of Differential Equations, 2015, 259 (12), pp.7332-7374. ⟨10.1016/j.jde.2015.08.023⟩
identifiant
hal-01231780
Resume_court
The objective of this work is to prove, in a first step, the existence and the uniqueness of a solut .....
typdoc
Journal articles
DOI
DOI : 10.1016/j.jde.2015.08.023
Accès au bibtex
https://arxiv.org/pdf/1407.1876 BibTex
titre
Height and the total mass of the forest of genealogical trees of a large population with general competition
auteur
Vi Le, Etienne Pardoux
article
ESAIM: Probability and Statistics, 2015, 19, pp.172-193. ⟨10.1051/ps/2014019⟩
identifiant
hal-01231721
Resume_court
We consider branching processes with interaction in continuous time, both with values in the integer .....
typdoc
Journal articles
DOI
DOI : 10.1051/ps/2014019
Accès au bibtex
https://arxiv.org/pdf/1410.5581 BibTex
titre
Numerical methods in the context of compartmental models in epidemiology
auteur
Peter Kratz, Etienne Pardoux, Brice Samegni Kepgnou
article
ESAIM: Proceedings and Surveys, 2015, 48, pp.169-189
identifiant
hal-01231867
Resume_court
We consider compartmental models in epidemiology. For the study of the divergence of the stochastic .....
typdoc
Journal articles
Accès au bibtex
https://arxiv.org/pdf/1501.03645 BibTex
titre
A Wong-Zakai theorem for stochastic PDEs
auteur
Martin Hairer, Étienne Pardoux
article
Journal of the Mathematical Society of Japan, 2015, 67 (4), pp.1551-1604. ⟨10.2969/jmsj/06741551⟩
identifiant
hal-01231762
Resume_court
We prove a version of the Wong-Zakai theorem for one-dimensional parabolic nonlinear stochastic PDEs .....
typdoc
Journal articles
DOI
DOI : 10.2969/jmsj/06741551
Accès au bibtex
https://arxiv.org/pdf/1409.3138 BibTex
titre
Branching processes with competition and generalized Ray Knight Theorem
auteur
Mamadou Ba, Etienne Pardoux
article
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2015, 51 (4), pp.1290-1313. ⟨10.1214/14-AIHP621⟩
identifiant
hal-01231785
Resume_court
We consider a discrete model of population with interaction where the birth and death rates are non .....
typdoc
Journal articles
DOI
DOI : 10.1214/14-AIHP621
Accès au bibtex
https://arxiv.org/pdf/1304.0710 BibTex

2014

Journal articles

titre
Invariant measure selection by noise: An Example
auteur
Jonathan C. Mattingly, Etienne Pardoux
article
Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (10), pp.4223-4257. ⟨10.3934/dcds.2014.34.4223⟩
identifiant
hal-01231866
Resume_court
We consider a deterministic system with two conserved quantities and infinity many invariant measure .....
typdoc
Journal articles
DOI
DOI : 10.3934/dcds.2014.34.4223
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https://arxiv.org/pdf/1403.3593 BibTex

Books

titre
Stochastic Differential Equations, Backward SDEs, Partial Differential Equations
auteur
Etienne Pardoux, Aurel Răşcanu
article
Springer, 69, 2014, Stochastic Modelling and Applied Probability, P.W. Glynn, Y. Le Jan, 978-3-319-05713-2. ⟨10.1007/978-3-319-05714-9⟩
identifiant
hal-01108223
Resume_court
This research monograph presents results to researchers in stochastic calculus, forward and backward .....
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Books
DOI
DOI : 10.1007/978-3-319-05714-9
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2013

Journal articles

titre
Random homogenisation of a highly oscillatory singular potential
auteur
Martin Hairer, Etienne Pardoux, Andrey Piatnitski
article
Stochastics and Partial Differential Equations: Analysis and Computations, 2013, 1 (4), pp.571-605
identifiant
hal-01231990
Resume_court
In this article, we consider the problem of homogenising the linear heat equation perturbed by a rap .....
typdoc
Journal articles
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https://arxiv.org/pdf/1303.1955 BibTex
titre
Muller's ratchet clicks in finite time
auteur
Julien Audiffren, Etienne Pardoux
article
Stochastic Processes and their Applications, 2013, 123 (6), pp.Pages 2370-2397
identifiant
hal-00759051
Resume_court
We consider the accumulation of deleterious mutations in an asexual population, a phenomenon known a .....
typdoc
Journal articles
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https://hal.science/hal-00759051/file/RatchetClicks.pdf BibTex
titre
HLA-DRB1 Genotypes and the Risk of Developing Anti Citrullinated Protein Antibody (ACPA) Positive Rheumatoid Arthritis
auteur
Nathalie Balandraud, Christophe Picard, Denis Reviron, Cyril Landais, Eric Toussirot, Nathalie Lambert, Emmanuel Telle, Caroline Charpin, Daniel Wendling, Etienne Pardoux, Isabelle Auger, Jean Roudier
article
PLoS ONE, 2013, 8 (5), pp.e64108. ⟨10.1371/journal.pone.0064108⟩
identifiant
inserm-02440894
Resume_court
OBJECTIVE: To provide a table indicating the risk for developing anti citrullinated protein antibody .....
typdoc
Journal articles
DOI
DOI : 10.1371/journal.pone.0064108
pubmedId
Pubmed icone : 23737967
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https://inserm.hal.science/inserm-02440894/file/journal.pone.0064108.PDF BibTex
titre
Trees under attack: a Ray-Knight representation of Feller's branching diffusion with logistic growth
auteur
Vi Le, Etienne Pardoux, Anton Wakolbinger
article
Probability Theory and Related Fields, 2013, 155, pp.583-619. ⟨10.1007/s00440-011-0408-x⟩
identifiant
hal-01231987
Resume_court
We obtain a representation of Feller's branching diffusion with logistic growth in terms of the loca .....
typdoc
Journal articles
DOI
DOI : 10.1007/s00440-011-0408-x
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https://arxiv.org/pdf/1305.1202 BibTex

Book sections

titre
The effect of competition on the height and length of the forest of genealogical trees of a large population
auteur
Mamadou Ba, Etienne Pardoux
article
Malliavin calculus and stochastic analysis, 34, 2013, Springer Proc. Math. Stat., ⟨10.1007/978-1-4614-5906-4_20⟩
identifiant
hal-01256666
typdoc
Book sections
DOI
DOI : 10.1007/978-1-4614-5906-4_20
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2012

Journal articles

titre
HLA-DRB1 genotypes and the risk of developing anti citrullinated protein antibody (ACPA) positive rheumatoid arthritis
auteur
Nathalie Balandraud, Christophe Picard, Denis Reviron, Cyril Landais, Eric Toussirot, Nathalie Lambert, Emmanuel Telle, Caroline Charpin, Daniel Wendling, Etienne Pardoux, Isabelle Auger, Jean Roudier
article
PLoS ONE, 2012, 8 (5), pp.e64108. ⟨10.1371/journal.pone.0064108⟩
identifiant
hal-01103830
Resume_court
To provide a table indicating the risk for developing anti citrullinated protein antibody (ACPA) pos .....
typdoc
Journal articles
DOI
DOI : 10.1371/journal.pone.0064108
pubmedId
Pubmed icone : 23737967
Accès au texte intégral et bibtex
https://hal.science/hal-01103830/file/journal.pone.0064108.PDF BibTex
titre
Binary trees, exploration processes, and an extented Ray--Knight Theorem
auteur
Mamadou Ba, Etienne Pardoux, Ahmadou Bamba Sow
article
Journal of Applied Probability, 2012, 49, pp.210-225. ⟨10.1239/jap/1331216843⟩
identifiant
hal-01231985
Resume_court
We study the bijection between binary Galton--Watson trees in continuous time and their exploration .....
typdoc
Journal articles
DOI
DOI : 10.1239/jap/1331216843
Accès au bibtex
https://arxiv.org/pdf/1305.1208 BibTex

Book sections

titre
A lookdown model with selection
auteur
Boubacar Bah, Etienne Pardoux
article
Stochastic analysis and related topics, 22, Springer, 2012, Springer Proc. Math. Stat., ⟨10.1007/978-3-642-29982-7_1⟩
identifiant
hal-01256659
Resume_court
The goal of this paper is to study a new version of the look-down construc- tion with selection. We .....
typdoc
Book sections
DOI
DOI : 10.1007/978-3-642-29982-7_1
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2011

Journal articles

titre
Compound Poisson Approximation and Testing for Gene Clusters with Multigene Families
auteur
Simona Grusea, Etienne Pardoux, Olivier Chabrol, Pierre Pontarotti
article
Journal of Computational Biology, 2011, 18 (4), pp.579-594. ⟨10.1089/cmb.2010.0043⟩
identifiant
hal-00636411
Resume_court
We present in this article a compound Poisson approximation for computing probabilities involved in .....
typdoc
Journal articles
DOI
DOI : 10.1089/cmb.2010.0043
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https://hal.science/hal-00636411/file/CompoundPoisson.pdf BibTex
titre
Homogenization of a periodic semilinear elliptic degenerate PDE
auteur
Etienne Pardoux, Ahmadou Bamba Sow
article
Stochastics and Dynamics, 2011, pp.475-493. ⟨10.1142/S0219493711003401⟩
identifiant
hal-00822147
Resume_court
In this paper a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The no .....
typdoc
Journal articles
DOI
DOI : 10.1142/S0219493711003401
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https://arxiv.org/pdf/1305.1211 BibTex
titre
From Brownian motion with a local time drift to Feller's branching diffusion with logistic growth
auteur
Etienne Pardoux, Anton Wakolbinger
article
Electronic Communications in Probability, 2011, 16, pp.720-731. ⟨10.1214/ECP.v16-1679⟩
identifiant
hal-01231988
Resume_court
We give a new proof for a Ray-Knight representation of Feller's branching diffusion with logistic gr .....
typdoc
Journal articles
DOI
DOI : 10.1214/ECP.v16-1679
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https://arxiv.org/pdf/1305.1207 BibTex

Book sections

titre
From exploration paths to mass excursions---variations on a theme of Ray and Knight
auteur
Etienne Pardoux, Anton Wakolbinger
article
Surveys in stochastic processes, 2011, ⟨10.4171/072-1/5⟩
identifiant
hal-01257018
typdoc
Book sections
DOI
DOI : 10.4171/072-1/5
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2010

Journal articles

titre
Evolution of the ancestral recombination graph along the genome in case of selective sweep
auteur
Stephanie Leocard, Etienne Pardoux
article
Journal of Mathematical Biology, 2010, 61 (6), pp.819-841. ⟨10.1007/s00285-009-0321-4⟩
identifiant
hal-01257029
typdoc
Journal articles
DOI
DOI : 10.1007/s00285-009-0321-4
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titre
Survival of a Single Mutant in One Dimension
auteur
Enrique D. Andjel, Judith R. Miller, Etienne Pardoux
article
Electronic Journal of Probability, 2010, 15, ⟨10.1214/EJP.v15-769⟩
identifiant
hal-01257024
typdoc
Journal articles
DOI
DOI : 10.1214/EJP.v15-769
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titre
Diffusion limit for many particles in a periodic stochastic acceleration field
auteur
Yves Elskens, Etienne Pardoux
article
The Annals of Applied Probability, 2010, 20, pp.2022-2039. ⟨10.1214/09-AAP671⟩
identifiant
hal-00336848
Resume_court
The one-dimensional motion of any number $\cN$ of particles in the field of many independent waves ( .....
typdoc
Journal articles
DOI
DOI : 10.1214/09-AAP671
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https://hal.science/hal-00336848/file/Elskens_Pardoux_Nbody_aap.pdf BibTex
titre
Viscosity solutions for systems of parabolic variational inequalities
auteur
Lucian Maticiuc, Etienne Pardoux, Aurel Răşcanu, Adrian Zălinescu
article
Bernoulli, 2010, 16 (1), pp.258-273. ⟨10.3150/09-BEJ204⟩
identifiant
hal-01257034
typdoc
Journal articles
DOI
DOI : 10.3150/09-BEJ204
Accès au bibtex
https://arxiv.org/pdf/0807.4415 BibTex

2009

Journal articles

titre
On the height and length of the ancestral recombination graph
auteur
Etienne Pardoux, Salamat Majid
article
Journal of Applied Probability, 2009, 46 (3), pp.669-689. ⟨10.1239/jap/1253279845⟩
identifiant
hal-01257040
typdoc
Journal articles
DOI
DOI : 10.1239/jap/1253279845
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BibTex

2008

Journal articles

titre
Homogenization of periodic linear degenerate PDEs
auteur
Martin Hairer, Etienne Pardoux
article
Journal of Functional Analysis, 2008, 255 (9), pp.2462-2487. ⟨10.1016/j.jfa.2008.04.014⟩
identifiant
hal-01257056
typdoc
Journal articles
DOI
DOI : 10.1016/j.jfa.2008.04.014
Accès au bibtex
https://arxiv.org/pdf/math/0702304 BibTex
titre
Continuous branching processes : the discrete hidden in the continuous
auteur
Etienne Pardoux
article
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2008, Volume 9, 2007 Conference in Honor of Claude Lobry, 2008, pp.211-229. ⟨10.46298/arima.1899⟩
identifiant
hal-01277832
Resume_court
Feller diffusion is a continuous branching process. The branching property tells us that for t > 0 f .....
typdoc
Journal articles
DOI
DOI : 10.46298/arima.1899
Accès au texte intégral et bibtex
https://inria.hal.science/hal-01277832/file/arima00913.pdf BibTex
titre
Homogenization of periodic semilinear parabolic degenerate PDEs
auteur
Bamba A. Sow, Rémi Rhodes, Etienne Pardoux
article
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2008, 26 (3), pp.979-998. ⟨10.1016/j.anihpc.2008.09.001⟩
identifiant
hal-00359844
Resume_court
In this paper a second order semilinear parabolic PDE with rapidly oscillating coefficients is homog .....
typdoc
Journal articles
DOI
DOI : 10.1016/j.anihpc.2008.09.001
Accès au texte intégral et bibtex
https://hal.science/hal-00359844/file/absrrep.pdf BibTex

Books

titre
Markov Processes and Applications
auteur
Etienne Pardoux
article
John Wiley and Sons, Ltd., 2008, Wiley series in Probability and Statistics, 978-0-470-77271-3. ⟨10.1002/9780470721872⟩
identifiant
hal-01257785
typdoc
Books
DOI
DOI : 10.1002/9780470721872
Accès au bibtex
BibTex