Pierre Gabriel

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All published works

Action	Title	Year	Authors
+	Spectral description of a cell growth and division equation	2024	Pierre Gabriel Bruce van Brunt G.C. Wake Ali Ashher Zaidi
+ PDF Chat	The principal eigenvalue problem for time-periodic nonlocal equations with drift	2024	Bertrand Cloez Adil El Abdouni Pierre Gabriel
+ PDF Chat	Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain	2024	Kléber Carrapatoso Pierre Gabriel Richard Medina Stéphane Mischler
+ PDF Chat	Fast, slow convergence, and concentration in the house of cards replicator-mutator model	2024	Bertrand Cloez Pierre Gabriel
+	Confining integro-differential equations originating from evolutionary biology: ground states and long time dynamics	2023	Matthieu Alfaro Pierre Gabriel Otared Kavian
+	On the Krein-Rutman theorem and beyond	2023	Claudia Sánchez Pierre Gabriel Stéphane Mischler
+ PDF Chat	Confining integro-differential equations originating from evolutionary biology: Ground states and long time dynamics	2022	Matthieu Alfaro Pierre Gabriel Otared Kavian
+ PDF Chat	A non‐conservative Harris ergodic theorem	2022	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet
+ PDF Chat	Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation	2022	Pierre Gabriel Hugo Martin
+	Fast, slow convergence, and concentration in the house of cards replicator-mutator model	2022	Bertrand Cloez Pierre Gabriel
+ PDF Chat	A Non-Conservative Harris Ergodic Theorem	2021	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet
+	A Non-Conservative Harris Ergodic Theorem	2021	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet
+	Asymptotic analysis of non-local equations arising in biology	2021	Pierre Gabriel
+ PDF Chat	Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem	2021	José A. Cañizo Pierre Gabriel Havva Yoldaş
+ PDF Chat	The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states	2020	Grégory Dumont Pierre Gabriel
+ PDF Chat	On an irreducibility type condition for the ergodicity of nonconservative semigroups	2020	Bertrand Cloez Pierre Gabriel
+ PDF Chat	Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation	2019	Pierre Gabriel Hugo Martin
+ PDF Chat	Limiting Hamilton–Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation	2019	Vincent Calvez Pierre Gabriel Álvaro Mateos González
+ PDF Chat	Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate	2019	Étienne Bernard Pierre Gabriel
+ PDF Chat	Ergodic Behavior of Non-conservative Semigroups via Generalized Doeblin’s Conditions	2019	Vincent Bansaye Bertrand Cloez Pierre Gabriel
+ PDF Chat	A non-conservative Harris ergodic theorem	2019	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet
+	Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts	2019	Étienne Bernard Marie Doumic Pierre Gabriel
+ PDF Chat	Steady distribution of the incremental model for bacteria proliferation	2019	Pierre Gabriel Hugo Martin
+ PDF Chat	Measure Solutions To The Conservative Renewal Equation	2018	Pierre Gabriel
+ PDF Chat	CIMPA School on Mathematical Models in Biology and Medicine	2018	Muhammad Zaid Dauhoo Laurent Dumas Pierre Gabriel
+	Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate	2017	Étienne Bernard Pierre Gabriel
+ PDF Chat	Limiting Hamilton-Jacobi equation for the large scale asymptotics of a subdiffusion jump-renewal equation.	2016	Vincent Calvez Pierre Gabriel Álvaro Mateos González
+	Global stability for the prion equation with general incidence	2015	Pierre Gabriel
+ PDF Chat	Non-linear eigenvalue problems arising from growth maximization of positive linear dynamical systems	2014	Vincent Calvez Pierre Gabriel Stéphane Gaubert
+ PDF Chat	Optimization of an amplification protocol for misfolded proteins by using relaxed control	2014	Jean‐Michel Coron Pierre Gabriel Peipei Shang
+	Exponential relaxation to self-similarity for the superquadratic fragmentation equation	2013	Pierre Gabriel Francesco Salvarani
+ PDF Chat	Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates	2013	D. Balagué José A. Cañizo Pierre Gabriel
+ PDF Chat	The contribution of age structure to cell population responses to targeted therapeutics	2012	Pierre Gabriel Shawn Garbett Vito Quaranta Darren R. Tyson Glenn F. Webb
+	Self-similarity in a general aggregation–fragmentation problem. Application to fitness analysis	2012	Vincent Calvez Marie Doumic Pierre Gabriel
+	Optimal growth for linear processes with affine control	2012	Vincent Calvez Pierre Gabriel
+ PDF Chat	Long-time asymptotics for nonlinear growth-fragmentation equations	2012	Pierre Gabriel
+ PDF Chat	High-order WENO scheme for polymerization-type equations	2010	Pierre Gabriel Léon Matar Tine
+	The shape of the polymerization rate in the prion equation	2010	Pierre Gabriel
+ PDF Chat	EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL	2010	Marie Doumic Pierre Gabriel
+	Algèbres auto-injectives de représentation finie (d'après Christine Riedtmann)	2006	Pierre Gabriel
+	Représentations des algèbres de Lie résolubles	2006	Pierre Gabriel
+	Extensions of cocycles for hyperfinite actions and applications	1997	Pierre Gabriel Mariusz Lemańczyk K. Schmidt
+	Representations of Quivers	1997	Pierre Gabriel A. V. Roiter
+	Representations of Tame Quivers	1997	Pierre Gabriel A. V. Roiter
+	Almost Split Sequences	1997	Pierre Gabriel A. V. Roiter
+ PDF Chat	Tame and wild subspace problems	1993	Pierre Gabriel Л. А. Назарова A. V. Roiter Vladimir V. Sergeichuk Dieter Vossieck
+	Quotients of representation-finite algebras	1987	Pierre Gabriel José Antonio de la Peña
+	Covering spaces in representation-theory	1982	Klaus Bongartz Pierre Gabriel
+	The universal cover of a representation-finite algebra	1981	Pierre Gabriel
+	Group representations without groups	1979	Pierre Gabriel Ch. Riedtmann
+	Algèbres auto-injectives de représentation finie	1979	Pierre Gabriel
+	Idéaux premiers de l'algébre enveloppante d'une algébre de Lie nilpotente	1967	Yvon Nouazé Pierre Gabriel
+	La localisation dans les anneaux non commutatifs	1960	Pierre Gabriel
+	Le théorème de Serre	1959	Pierre Gabriel
+	Les foncteurs dérivés des foncteurs classiques	1959	Pierre Gabriel

Common Coauthors

Coauthor	Papers Together
Bertrand Cloez	9
Vincent Bansaye	5
Vincent Calvez	5
A. V. Roiter	4
Aline Marguet	4
Étienne Bernard	3
Marie Doumic	3
Matthieu Alfaro	2
Otared Kavian	2
Álvaro Mateos González	2
Hugo Martin	2
José A. Cañizo	2
Stéphane Mischler	2
Glenn F. Webb	1
Havva Yoldaş	1
Laurent Dumas	1
D. Balagué	1
Darren R. Tyson	1
Ch. Riedtmann	1
Léon Matar Tine	1
Hugo Martin	1
G. C. Wake	1
Peipei Shang	1
Stéphane Gaubert	1
Jean‐Michel Coron	1
Grégory Dumont	1
Kléber Carrapatoso	1
Muhammad Zaid Dauhoo	1
Yvon Nouazé	1
Л. А. Назарова	1
Richard Medina	1
Adil El Abdouni	1
Vito Quaranta	1
Ali Ashher Zaidi	1
Vladimir V. Sergeichuk	1
Bruce van Brunt	1
Klaus Bongartz	1
Shawn Garbett	1
Mariusz Lemańczyk	1
K. Schmidt	1
Claudia Sánchez	1
Dieter Vossieck	1
José Antonio de la Peña	1
Francesco Salvarani	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Transport Equations in Biology	2006	Benoı̂t Perthame	21
+	General relative entropy inequality: an illustration on growth models	2005	Philippe Michel Stéphane Mischler Benoı̂t Perthame	17
+ PDF Chat	EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL	2010	Marie Doumic Pierre Gabriel	16
+	Exponential decay for the fragmentation or cell-division equation	2004	Benoı̂t Perthame Lenya Ryzhik	15
+	Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations	2011	María J. Cáceres José A. Cañizo Stéphane Mischler	13
+ PDF Chat	Exponential decay for the growth-fragmentation/cell-division equations	2009	Philippe Laurençot Benoı̂t Perthame	11
+	EXISTENCE OF A SOLUTION TO THE CELL DIVISION EIGENPROBLEM	2006	Philippe Michel	10
+ PDF Chat	Spectral analysis of semigroups and growth-fragmentation equations	2015	S. Mischler Jose U. Scher	10
+ PDF Chat	Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates	2013	D. Balagué José A. Cañizo Pierre Gabriel	9
+ PDF Chat	Analysis of a model for the dynamics of prions II	2006	Hans Engler Jan Prüß Glenn F. Webb	9
+	Exponential decay for the growth-fragmentation/cell-division equation	2009	Philippe Laurençot Benoı̂t Perthame	8
+ PDF Chat	On the stability of the cell size distribution	1984	Odo Diekmann H.J.A.M. Heijmans Horst R. Thieme	8
+	Rate of convergence to self-similarity for the fragmentation equation in L^1 spaces	2011	María J. Cáceres José A. Cañizo Stéphane Mischler	8
+ PDF Chat	Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation	2014	Khashayar Pakdaman Benoı̂t Perthame Delphine Salort	8
+	Exponential relaxation to self-similarity for the superquadratic fragmentation equation	2013	Pierre Gabriel Francesco Salvarani	7
+ PDF Chat	One-parameter Semigroups of Positive Operators	1986	Wolfgang Arendt Annette Grabosch Günther Greiner Ulrich Moustakas Rainer Nagel Ulf Schlotterbeck Ulrich Groh Heinrich P. Lotz Frank Neubrander	7
+ PDF Chat	Asynchronous Exponential Growth of a General Structured Population Model	2011	Jacek Banasiak Katarzyna Pichór Ryszard Rudnicki	7
+ PDF Chat	General entropy equations for structured population models and scattering	2004	Philippe Michel Stéphane Mischler Benoı̂t Perthame	7
+	GROWTH OF CELL POPULATIONS VIA ONE-PARAMETER SEMIGROUPS OF POSITIVE OPERATORS	1988	Günther Greiner Rainer Nagel	7
+ PDF Chat	Total variation estimates for the TCP process	2013	Jean-Baptiste Bardet Alejandra Christen Arnaud Guillin Florent Malrieu Pierre-André Zitt	6
+	One-Parameter Semigroups for Linear Evolution Equations	2000	Klaus‐Jochen Engel Rainer Nagel	6
+ PDF Chat	Numerical solution of an inverse problem in size-structured population dynamics	2009	Marie Doumic Benoı̂t Perthame Jorge P. Zubelli	6
+ PDF Chat	One-parameter semigroups for linear evolution equations	2001	Klaus‐Jochen Engel Rainer Nagel	6
+ PDF Chat	Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models	2009	Jean Clairambault Stéphane Gaubert Thomas Lepoutre	6
+	Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts	2019	Étienne Bernard Marie Doumic Pierre Gabriel	6
+	A probabilistic approach to spectral analysis of growth-fragmentation equations	2018	Jean Bertoin Alexander R. Watson	6
+	Analysis of a molecular structured population model with possible polynomial growth for the cell division cycle	2007	Fadia Bekkal Brikci Jean Clairambault Benoı̂t Perthame	6
+ PDF Chat	Ergodic Behavior of Non-conservative Semigroups via Generalized Doeblin’s Conditions	2019	Vincent Bansaye Bertrand Cloez Pierre Gabriel	6
+	Perturbations of Positive Semigroups with Applications	2006	Jacek Banasiak Luisa Arlotti	6
+ PDF Chat	Measure Solutions To The Conservative Renewal Equation	2018	Pierre Gabriel	6
+ PDF Chat	On the inverse problem for a size-structured population model	2007	Benoı̂t Perthame Jorge P. Zubelli	5
+	On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators	2010	Jérôme Coville	5
+ PDF Chat	A Non-Conservative Harris Ergodic Theorem	2021	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet	5
+ PDF Chat	Asymptotic behaviour of neuron population models structured by elapsed-time	2019	José A. Cañizo Havva Yoldaş	5
+ PDF Chat	A non‐conservative Harris ergodic theorem	2022	Vincent Bansaye Bertrand Cloez Pierre Gabriel Aline Marguet	5
+ PDF Chat	Optimal Proliferation Rate in a Cell Division Model	2006	Philippe Michel	5
+ PDF Chat	Solutions to an advanced functional partial differential equation of the pantograph type	2015	Ali Ashher Zaidi Bruce van Brunt G.C. Wake	5
+ PDF Chat	Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate	2019	Étienne Bernard Pierre Gabriel	5
+ PDF Chat	Analysis of a Population Model Structured by the Cells Molecular Content	2007	Marie Doumic	5
+	An eigenvalue problem related to cell growth	1985	H.J.A.M. Heijmans	5
+	The shape of the polymerization rate in the prion equation	2010	Pierre Gabriel	5
+ PDF Chat	Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation	2022	Pierre Gabriel Hugo Martin	5
+ PDF Chat	Long-time asymptotics for nonlinear growth-fragmentation equations	2012	Pierre Gabriel	5
+ PDF Chat	Yet Another Look at Harris’ Ergodic Theorem for Markov Chains	2011	Martin Hairer Jonathan C. Mattingly	5
+ PDF Chat	Scaling limit of a discrete prion dynamics model	2009	Marie Doumic Thierry Goudon Thomas Lepoutre	5
+	Perturbations of positive semigroups and applications to population genetics	1988	Reinhard B�rger	5
+ PDF Chat	Limit theorems for some branching measure-valued processes	2017	Bertrand Cloez	5
+ PDF Chat	On an irreducibility type condition for the ergodicity of nonconservative semigroups	2020	Bertrand Cloez Pierre Gabriel	5
+ PDF Chat	Measure Solutions for Some Models in Population Dynamics	2012	José A. Cañizo José A. Carrillo Sı́lvia Cuadrado	5
+	Singular measure as principal eigenfunction of some nonlocal operators	2013	Jérôme Coville	4