Nicolas Fournier

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All published works

Action	Title	Year	Authors
+ PDF Chat	On gelation for the Smoluchowski equation	2025	Nicolas Fournier
+	Collisions of the supercritical Keller–Segel particle system	2024	Nicolas Fournier Yoan Tardy
+	Convergence of the empirical measure in expected wasserstein distance: non-asymptotic explicit bounds in ℝ<sup><i>d</i></sup>	2023	Nicolas Fournier
+ PDF Chat	Convergence of the empirical measure in expected Wasserstein distance: non asymptotic explicit bounds in $\mathbb{R}^d$	2022	Nicolas Fournier
+ PDF Chat	A simple proof of non-explosion for measure solutions of the Keller-Segel equation	2022	Nicolas Fournier Yoan Tardy
+ PDF Chat	A coupling approach for the convergence to equilibrium for a collisionless gas	2022	Armand Bernou Nicolas Fournier
+	A simple proof of non-explosion for measure solutions of the Keller-Segel equation	2022	Nicolas Fournier Yoan Tardy
+	Convergence of the empirical measure in expected Wasserstein distance: non asymptotic explicit bounds in $\mathbb{R}^d$	2022	Nicolas Fournier
+	Particle approximation of the doubly parabolic Keller-Segel equation in the plane	2022	Nicolas Fournier Milica Tomašević
+ PDF Chat	On Exponential Moments of the Homogeneous Boltzmann Equation for Hard Potentials Without Cutoff	2021	Nicolas Fournier
+ PDF Chat	Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials	2021	Daniel Heydecker Nicolas Fournier
+	Transport distances for PDEs: the coupling method	2021	Nicolas Fournier Benoı̂t Perthame
+ PDF Chat	A Nonexpanding Transport Distance for Some Structured Equations	2021	Nicolas Fournier Benoı̂t Perthame
+	A non-expanding transport distance for some structured equations	2021	Nicolas Fournier Benoı̂t Perthame
+	Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials	2020	Nicolas Fournier Daniel Heydecker
+	Simulated annealing in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si3.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math> with slowly growing potentials	2020	Pierre Monmarché Nicolas Fournier Camille Tardif
+ PDF Chat	Anomalous diffusion for multi-dimensional critical kinetic Fokker–Planck equations	2020	Nicolas Fournier Camille Tardif
+ PDF Chat	On a toy network of neurons interacting through their dendrites	2020	Nicolas Fournier Étienne Tanré Romain Veltz
+	On The Simulated Annealing In $\mathbf{R}^d$	2020	Nicolas Fournier Camille Tardif
+	Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials	2020	Nicolas Fournier Daniel Heydecker
+	Simulated Annealing In $\mathbf{R}^d$ With Slowly Growing Potentials	2019	Nicolas Fournier Pierre Monmarché Camille Tardif
+ PDF Chat	On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs	2019	Nicolas Fournier Liping Xu
+ PDF Chat	Monge-Kantorovich distance for PDEs: the coupling method	2019	Nicolas Fournier Benoı̂t Perthame
+ PDF Chat	A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff	2019	Nicolas Fournier
+	A coupling approach for the convergence to equilibrium for a collisionless gas	2019	Armand Bernou Nicolas Fournier
+	Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations	2018	Nicolas Fournier Camille Tardif
+	One dimensional critical Kinetic Fokker-Planck equations, Bessel and stable processes	2018	Nicolas Fournier Camille Tardif
+	Anomalous diffusion for multi-dimensional critical Kinetic Fokker-Planck equations	2018	Nicolas Fournier Camille Tardif
+ PDF Chat	Stochastic particle approximation of the Keller–Segel equation and two-dimensional generalization of Bessel processes	2017	Nicolas Fournier Benjamin Jourdain
+	On Monte-Carlo tree search for deterministic games with alternate moves and complete information	2017	Sylvain Delattre Nicolas Fournier
+	A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff	2017	Nicolas Fournier
+ PDF Chat	On the Kozachenko–Leonenko entropy estimator	2017	Sylvain Delattre Nicolas Fournier
+	Propagation of chaos for the Landau equation with moderately soft potentials	2016	Nicolas Fournier Maxime Hauray
+ PDF Chat	On a toy model of interacting neurons	2016	Nicolas Fournier Eva Löcherbach
+	On the Kozachenko-Leonenko entropy estimator	2016	Nicolas Fournier Sylvain Delattre
+ PDF Chat	Hawkes processes on large networks	2016	Sylvain Delattre Nicolas Fournier Marc Hoffmann
+	Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules	2016	Nicolas Fournier Stéphane Mischler
+	Statistical inference versus mean field limit for Hawkes processes	2016	Sylvain Delattre Nicolas Fournier
+	On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs	2016	Nicolas Fournier Liping Xu
+	On the Kozachenko-Leonenko entropy estimator	2016	Nicolas Fournier Sylvain Delattre
+ PDF Chat	FROM A KAC-LIKE PARTICLE SYSTEM TO THE LANDAU EQUATION FOR HARD POTENTIALS AND MAXWELL MOLECULES	2015	Nicolas Fournier Arnaud Guillin
+	Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes	2015	Nicolas Fournier Benjamin Jourdain
+ PDF Chat	Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition	2015	Nicolas Fournier
+	Propagation of chaos for the Landau equation with moderately soft potentials	2015	Nicolas Fournier Maxime Hauray
+	Propagation of chaos for the Landau equation with moderately soft potentials	2015	Nicolas Fournier Maxime Hauray
+	Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes	2015	Nicolas Fournier Benjamin Jourdain
+ PDF Chat	On the rate of convergence in Wasserstein distance of the empirical measure	2014	Nicolas Fournier Arnaud Guillin
+	On a toy model of interacting neurons	2014	Nicolas Fournier Eva Löcherbach
+ PDF Chat	Propagation of chaos for the 2D viscous vortex model	2014	Nicolas Fournier Maxime Hauray Stéphane Mischler
+ PDF Chat	A Mean-field forest-fire model	2014	Xavier Bressaud Nicolas Fournier
+	On a toy model of interacting neurons	2014	Nicolas Fournier Eva Löcherbach
+	Existence of densities for stable-like driven SDEʼs with Hölder continuous coefficients	2013	Arnaud Debussche Nicolas Fournier
+ PDF Chat	One Dimensional General Forest Fire Processes	2013	Xavier Bressaud Nicolas Fournier
+	On the rate of convergence in Wasserstein distance of the empirical measure	2013	Nicolas Fournier Arnaud Guillin
+ PDF Chat	Asymptotic of Grazing Collisions and Particle Approximation for the Kac Equation without Cutoff	2012	Nicolas Fournier David Godinho
+	Mean-field forest-fire models and pruning of random trees	2012	Xavier Bressaud Nicolas Fournier
+	Smoluchowski’s equation: Rate of convergence of the Marcus–Lushnikov process	2011	Eduardo Cepeda Nicolas Fournier
+	Compromise Pitman estimators	2011	Nicolas Fournier
+ PDF Chat	Stability of the stochastic heat equation in $L^1([0,1])$	2011	Nicolas Fournier Jacques Printems
+	One-dimensional general forest fire processes	2011	Xavier Bressaud Nicolas Fournier
+ PDF Chat	STABILITY OF THE STOCHASTIC HEAT EQUATION IN L(1)([0,1])	2011	Nicolas Fournier Jacques Printems
+	On pathwise uniqueness for stochastic differential equations driven by stable L\'evy processes	2010	Nicolas Fournier
+	Smoluchowski's equation: rate of convergence of the Marcus-Lushnikov process	2010	Eduardo Cepeda Nicolas Fournier
+ PDF Chat	Asymptotics of one-dimensional forest fire processes	2010	Xavier Bressaud Nicolas Fournier
+ PDF Chat	A pure jump Markov process with a random singularity spectrum	2010	Julien Barral Nicolas Fournier Stéphane Jaffard Stéphane Seuret
+ PDF Chat	Uniqueness of Bounded Solutions for the Homogeneous Landau Equation with a Coulomb Potential	2010	Nicolas Fournier
+ PDF Chat	Regularization properties of the 2D homogeneous Boltzmann equation without cutoff	2010	Vlad Bally Nicolas Fournier
+ PDF Chat	Stability of the stochastic heat equation in $L^1([0,1])$	2010	Nicolas Fournier Jacques Printems
+ PDF Chat	Absolute continuity for some one-dimensional processes	2010	Nicolas Fournier Jacques Printems
+	On pathwise uniqueness for stochastic differential equations driven by stable Lévy processes	2010	Nicolas Fournier
+	Stability of the stochastic heat equation in $L^1([0,1])$	2010	Nicolas Fournier Jacques Printems
+	Regularization properties of the 2D homogeneous Boltzmann equation without cutoff	2009	Vlad Bally Nicolas Fournier
+	A pure jump Markov process with a random singularity spectrum	2009	Julien Barral Nicolas Fournier Stéphane Jaffard Stéphane Seuret
+ PDF Chat	On the Well-Posedness of the Spatially Homogeneous Boltzmann Equation with a Moderate Angular Singularity	2009	Nicolas Fournier Clément Mouhot
+ PDF Chat	On the invariant distribution of a one-dimensional avalanche process	2009	Xavier Bressaud Nicolas Fournier
+	Simulation and approximation of Levy-driven stochastic differential equations	2009	Nicolas Fournier
+	Particle approximation of some Landau equations	2009	Nicolas Fournier
+	Well-posedness of the spatially homogeneous Landau equation for soft potentials	2008	Nicolas Fournier Hélène Guérin
+	Particle approximation of some Landau equations	2008	Nicolas Fournier
+	Well-posedness of the spatially homogeneous Landau equation for soft potentials	2008	Hélène Guérin Nicolas Fournier
+ PDF Chat	On the Uniqueness for the Spatially Homogeneous Boltzmann Equation with a Strong Angular Singularity	2008	Nicolas Fournier Hélène Guérin
+	Marcus–Lushnikov processes, Smoluchowski’s and Flory’s models	2008	Nicolas Fournier Philippe Laurençot
+	Stochastic coalescence with homogeneous-like interaction rates	2008	Nicolas Fournier Eva Löcherbach
+ PDF Chat	A new regularization possibility for the Boltzmann equation with soft potentials	2008	Nicolas Fournier
+	Malliavin Calculus for Parabolic S.P.D.E.s with Jumps	2008	Nicolas Fournier
+ PDF Chat	Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump	2008	Nicolas Fournier
+ PDF Chat	Smoothness of the law of some one-dimensional jumping SDEs with non-constant rate of jump	2008	Nicolas Fournier
+	A new regularization possibility for the Boltzmann equation with soft potentials	2007	Nicolas Fournier
+	Marcus-Lushnikov processes, Smoluchowski's and Flory's models	2007	Nicolas Fournier Philippe Laurençot
+	On the invariant distribution of a one-dimensional avalanche process	2007	Xavier Bressaud Nicolas Fournier
+	Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump	2007	Nicolas Fournier
+	Uniqueness for a Class of Spatially Homogeneous Boltzmann Equations Without Angular Cutoff	2006	Nicolas Fournier
+	Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels	2006	Nicolas Fournier Philippe Laurençot
+	Existence of densities for jumping stochastic differential equations	2005	Nicolas Fournier Jean-Sébastien Giet
+ PDF Chat	Existence of densities for jumping S.D.E.s	2005	Nicolas Fournier Jean-Sébastien Giet
+ PDF Chat	Existence of densities for jumping S.D.E.s	2005	Nicolas Fournier Jean-Sébastien Giet
+ PDF Chat	Existence of densities for jumping S.D.E.s	2005	Nicolas Fournier Jean-Sébastien Giet
+	Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels	2005	Nicolas Fournier Philippe Laurençot
+ PDF Chat	A microscopic probabilistic description of a locally regulated population and macroscopic approximations	2004	Nicolas Fournier Sylvie Méléard
+	On long time behavior of some coagulation processes	2003	Nicolas Fournier Bernard Roynette Étienne Tanré
+	On small particles in coagulation-fragmentation equations	2003	Nicolas Fournier Jean-Sébastien Giet
+ PDF Chat	A pure jump Markov process associated with Smoluchowski's coagulation equation	2002	Mâdâlina Deaconu Nicolas Fournier Étienne Tanré
+	Probabilistic approach of some discrete and continuous coagulation equations with diffusion	2002	Mâdâlina Deaconu Nicolas Fournier
+	Jumping SDEs: absolute continuity using monotonicity	2002	Nicolas Fournier
+	Strict Positivity of the Density for Simple Jump Processes Using the Tools of Support Theorems. Application to the KAC Equation Without Cutoff	2002	Nicolas Fournier
+ PDF Chat	Support Theorem for the Solution of a White-Noise-Driven Parabolic Stochastic Partial Differential Equation with Temporal Poissonian Jumps	2001	Nicolas Fournier
+	Existence and regularity study for two-dimensional Kac equation without cutoff by a probabilistic approach	2000	Nicolas Fournier
+	Malliavin calculus for parabolic SPDEs with jumps	2000	Nicolas Fournier
+	Strict positivity of the density for a poisson driven S.D.E	1999	Nicolas Fournier
+	Calcul des variations stochastiques sur l'espace de poisson, applications a des e. D. P. S. Paraboliques avec sauts et a certaines equations de boltzmann	1999	Nicolas Fournier

Common Coauthors

Coauthor	Papers Together
Camille Tardif	7
Xavier Bressaud	7
Sylvain Delattre	6
Jacques Printems	5
Jean-Sébastien Giet	5
Philippe Laurençot	4
Maxime Hauray	4
Eva Löcherbach	4
Benoı̂t Perthame	4
Arnaud Guillin	3
Hélène Guérin	3
Yoan Tardy	3
Daniel Heydecker	3
Benjamin Jourdain	3
Étienne Tanré	3
Mâdâlina Deaconu	2
Armand Bernou	2
Julien Barral	2
Eduardo Cepeda	2
Stéphane Jaffard	2
Stéphane Mischler	2
Vlad Bally	2
Liping Xu	2
Stéphane Seuret	2
Bernard Roynette	1
Romain Veltz	1
Milica Tomašević	1
David Godinho	1
Arnaud Debussche	1
Clément Mouhot	1
Sylvie Méléard	1
Nicolas Fournier	1
Marc Hoffmann	1
Pierre Monmarché	1
Pierre Monmarché	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Topics in Optimal Transportation	2003	Cédric Villani	18
+	On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations	1998	Cédric Villani	17
+	A Review of Mathematical Topics in Collisional Kinetic Theory	2002	Cédric Villani	14
+	An introduction to stochastic partial differential equations	2006	John B. Walsh	13
+	Clacul de Malliavin pour les diffusions avec sauts : Existence d’une densite dans le cas unidimensionnel	1983	Klaus Bichteler Jean Jacod	12
+	On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness	2000	Laurent Desvillettes Cédric Villani	11
+ PDF Chat	On the Well-Posedness of the Spatially Homogeneous Boltzmann Equation with a Moderate Angular Singularity	2009	Nicolas Fournier Clément Mouhot	11
+ PDF Chat	Deterministic and Stochastic Models for Coalescence (Aggregation and Coagulation): A Review of the Mean-Field Theory for Probabilists	1999	David Aldous	11
+	Topics in propagation of chaos	1991	Alain‐Sol Sznitman	11
+	Existence and Regularity of a Solution of a Kac Equation Without Cutoff Using the Stochastic Calculus of Variations	1999	C. D. Graham Sylvie Méléard	11
+	Entropy Dissipation and Long-Range Interactions	2000	Radjesvarane Alexandre Laurent Desvillettes Cédric Villani Bernt Wennberg	10
+ PDF Chat	Kac’s program in kinetic theory	2012	Stéphane Mischler Clément Mouhot	10
+	Invariant Measures and Evolution Equations for Markov Processes Characterized Via Martingale Problems	1993	Abhay G. Bhatt Rajeeva L. Karandikar	9
+ PDF Chat	On the Uniqueness for the Spatially Homogeneous Boltzmann Equation with a Strong Angular Singularity	2008	Nicolas Fournier Hélène Guérin	9
+ PDF Chat	Moment inequalities for the boltzmann equation and applications to spatially homogeneous problems	1997	A. V. Bobylev	8
+	ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES	1998	Cédric Villani	8
+	Martingale Problems Associated with the Boltzmann Equation	1990	Joseph Horowitz Rajeeva L. Karandikar	8
+ PDF Chat	Solving Landau equation for some soft potentials through a probabilistic approach	2003	Hélène Guérin	8
+	Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients	2007	Alessio Figalli	7
+	None	1998	Vlad Bally Étienne Pardoux	7
+	Propagation of chaos for the Landau equation with moderately soft potentials	2016	Nicolas Fournier Maxime Hauray	7
+	Probabilistic Interpretation and Numerical Approximation of a Kac Equation without Cutoff	1999	Laurent Desvillettes C. D. Graham Sylvie Méléard	7
+ PDF Chat	On the rate of convergence in Wasserstein distance of the empirical measure	2014	Nicolas Fournier Arnaud Guillin	7
+ PDF Chat	A stochastic particle numerical method for 3D Boltzmann equations without cutoff	2001	Nicolas Fournier Sylvie Méléard	7
+ PDF Chat	On the existence of smooth densities for jump processes	1996	Jean Picard	7
+	Existence of Gelling Solutions for Coagulation-Fragmentation Equations	1998	Intae Jeon	7
+ PDF Chat	On the spatially homogeneous Boltzmann equation	1999	Stéphane Mischler Bernst Wennberg	7
+	Markov Processes: Characterization and Convergence.	1987	Andris Abakuks S. N. Ethier Thomas G. Kurtz	7
+ PDF Chat	Smoluchowski's coagulation equation: uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent	1999	James R. Norris	6
+ PDF Chat	Measurability of optimal transportation and convergence rate for Landau type interacting particle systems	2008	Joaquín Fontbona Hélène Guérin Sylvie Méléard	6
+	Existence and regularity study for two-dimensional Kac equation without cutoff by a probabilistic approach	2000	Nicolas Fournier	6
+	Smoluchowski's coagulation equation: uniqueness, non-uniqueness and a hydrodynamic limit for the stochastic coalescent	1998	James R. Norris	6
+ PDF Chat	�quations de type de Boltzmann, spatialement homog�nes	1984	Alain Sol Sznitman	6
+	Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models	1996	Sylvie Méléard	6
+ PDF Chat	The Cluster Size Distribution for a Forest-Fire Process on $Z$	2006	Rachel M. Brouwer J. Pennanen	6
+	On the Uniqueness of Markov Process Associated with the Boltzmann Equation of Maxwellian Molecules	2002	Hiroshi Tanaka	6
+ PDF Chat	Calcul des variations stochastique et processus de sauts	1983	Jean‐Michel Bismut	5
+	The diffusion approximation of the spatially homogeneous Boltzmann equation	1985	Tadahisa Funaki	5
+ PDF Chat	On some stochastic coalescents	2006	Nicolas Fournier	5
+	Ordinary differential equations, transport theory and Sobolev spaces	1989	Ronald J. DiPerna Pierre Louis Lions	5
+	A review of Boltzmann equation with singular kernels	2009	Radjesvarane Alexandre	5
+	On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications	2000	Laurent Desvillettes Cédric Villani	5
+	Well-posedness of the spatially homogeneous Landau equation for soft potentials	2008	Nicolas Fournier Hélène Guérin	5
+	Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff	2004	Laurent Desvillettes Bernt Wennberg	5
+	Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules	2016	Nicolas Fournier Stéphane Mischler	5
+	Probability Metrics and Uniqueness of the Solution to the Boltzmann Equation for a Maxwell Gas	1999	Giuseppe Toscani Cédric Villani	5
+	Critical behaviour of the Drossel-Schwabl forest fire model	2002	Peter Grassberger	5
+	Interacting Particle Systems	2016	Thomas M. Liggett	5
+ PDF Chat	About the regularizing properties of the non-cut-off Kac equation	1995	Laurent Desvillettes	5
+ PDF Chat	On the Asymptotic Density in a One-Dimensional Self-Organized Critical Forest-Fire Model	2004	Jacob van den Berg A.A. J�rai	5