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Author ID: mathieu.pierre.2 Recent zbMATH articles by "Mathieu, Pierre"
Published as: Mathieu, Pierre; Mathieu, P.
Homepage: http://www.cmi.univ-mrs.fr/~pmathieu/
External Links: MGP
Documents Indexed: 41 Publications since 1993
Co-Authors: 21 Co-Authors with 22 Joint Publications
454 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 455 times in 308 Documents Cited by Year
Quenched invariance principles for random walks on percolation clusters. Zbl 1131.82012
Mathieu, P.; Piatnitski, A.
78
2007
Quenched invariance principles for random walks with random conductances. Zbl 1214.82044
Mathieu, P.
51
2008
Isoperimetry and heat kernel decay on percolation clusters. Zbl 1078.60085
Mathieu, Pierre; Remy, Elisabeth
49
2004
Harmonic measures versus quasiconformal measures for hyperbolic groups. (Mesures harmoniques et mesures quasiconformes sur les groupes hyperboliques.) Zbl 1243.60005
Blachère, Sébastien; Haïssinsky, Peter; Mathieu, Pierre
35
2011
On symmetric random walks with random conductances on \(\mathbb Z^d\). Zbl 1086.60066
Fontes, L. R. G.; Mathieu, P.
19
2006
Einstein relation for reversible diffusions in a random environment. Zbl 1264.60062
Gantert, Nina; Mathieu, Pierre; Piatnitski, Andrey
17
2012
Asymptotic entropy and Green speed for random walks on countable groups. Zbl 1146.60008
Blachère, Sébastien; Haïssinsky, Peter; Mathieu, Pierre
17
2008
Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium. Zbl 0803.60076
Mathieu, Pierre
17
1994
Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model. Zbl 1332.60065
Boukhadra, Omar; Kumagai, Takashi; Mathieu, Pierre
14
2015
Spectra, exit times and long time asymptotics in the zero-white-noise limit. Zbl 0886.60055
Mathieu, Pierre
13
1995
On the dynamics of trap models in \(\mathbb{Z}^{d}\). Zbl 1307.60141
Fontes, L. R. G.; Mathieu, P.
11
2014
Mott law as upper bound for a random walk in a random environment. Zbl 1162.60025
Faggionato, A.; Mathieu, P.
11
2008
K-processes, scaling limit and aging for the trap model in the complete graph. Zbl 1154.60073
Fontes, L. R. G.; Mathieu, P.
11
2008
Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096
Mathieu, P.; Picco, P.
11
1998
Convergence to equilibrium for spin glasses. Zbl 1018.82019
Mathieu, P.
10
2000
Which log-Sobolev inequality implies the spectral gap inequality. (Quand l’inégalité log-Sobolev implique l’inégalité de trou spectral.) Zbl 0913.60072
Mathieu, P.
10
1998
On random perturbations of dynamical systems and diffusions with a Brownian potential in dimension one. Zbl 0933.60018
Mathieu, Pierre
8
1998
Hitting times and spectral gap inequalities. Zbl 0894.60070
Mathieu, P.
8
1997
Differentiating the entropy of random walks on hyperbolic groups. Zbl 1308.60054
Mathieu, P.
7
2015
Carne-Varopoulos bounds for centered random walks. Zbl 1099.60049
Mathieu, Pierre
7
2006
Limit theorems for diffusions with a random potential. Zbl 0849.60090
Mathieu, Pierre
7
1995
Deviation inequalities for random walks. Zbl 1465.60038
Mathieu, P.; Sisto, A.
6
2020
Aging of asymmetric dynamics on the random energy model. Zbl 1316.82026
Mathieu, Pierre; Mourrat, Jean-Christophe
6
2015
Itô formula for uniformly elliptic diffusions and Dirichlet processes. (Formule d’Itô pour des diffusions uniformément elliptiques, et processus de Dirichlet.) Zbl 1086.31007
Dupoiron, K.; Mathieu, P.; San Martin, J.
5
2004
Scaling limits and aging for asymmetric trap models on the complete graph and \(K\) processes. Zbl 1277.82053
Bezerra, S. C.; Fontes, L. R. G.; Gava, R. J.; Gayrard, V.; Mathieu, P.
5
2012
Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random environment. Zbl 1408.35235
Mathieu, P.; Piatnitski, A.
4
2018
A Sobolev inequality and the individual invariance principle for diffusions in a periodic potential. Zbl 1333.60169
Ba, Moustapha; Mathieu, Pierre
4
2015
\(k\)-independent percolation on trees. Zbl 1245.82026
Mathieu, Pierre; Temmel, Christoph
2
2012
Renewal theory for random walks on surface groups. Zbl 1409.60129
Haïssinsky, Peter; Mathieu, Pierre; Müller, Sebastian
2
2018
Heat kernel decay and isoperimetry on a percolation cluster. (Décroissance du noyau de la chaleur et isopérimétrie sur un amas de percolation.) Zbl 1017.60102
Mathieu, Pierre; Remy, Elisabeth
2
2001
On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540
Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre
2
2000
A new path description for the \({\mathcal M} (k+1,2k+3)\) models and the dual \({\mathcal Z}_k\) graded parafermions. Zbl 1456.81387
Jacob, P.; Mathieu, P.
1
2007
Log-Sobolev and spectral gap inequalities for the knapsack Markov chain. Zbl 1028.60073
Mathieu, P.
1
2002
Dirichlet processes associated to diffusions. Zbl 0983.60074
Mathieu, P.
1
2001
\(L_ p\) inequalities for the product of the suprema of several martingales stopped at random times. Weighted norm inequalities. (Inégalités en norme \(L_ p\) pour le produit des suprema de plusieurs martingales arrêtées à des temps aléatoires. Inégalités avec poids.) Zbl 0801.60034
Mathieu, Pierre
1
1993
Construction and renormalization of intersection local times of two planar Brownian motions. (Construction et renormalisation des temps locaux d’intersection de deux mouvements Browniens plans.) Zbl 0826.60071
Mathieu, Pierre
1
1994
Sobolev inequalities and waiting times. (Inégalités de Sobolev et temps d’atteinte.) Zbl 0922.60066
Mathieu, P.
1
1998
Deviation inequalities for random walks. Zbl 1465.60038
Mathieu, P.; Sisto, A.
6
2020
Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random environment. Zbl 1408.35235
Mathieu, P.; Piatnitski, A.
4
2018
Renewal theory for random walks on surface groups. Zbl 1409.60129
Haïssinsky, Peter; Mathieu, Pierre; Müller, Sebastian
2
2018
Harnack inequalities and local central limit theorem for the polynomial lower tail random conductance model. Zbl 1332.60065
Boukhadra, Omar; Kumagai, Takashi; Mathieu, Pierre
14
2015
Differentiating the entropy of random walks on hyperbolic groups. Zbl 1308.60054
Mathieu, P.
7
2015
Aging of asymmetric dynamics on the random energy model. Zbl 1316.82026
Mathieu, Pierre; Mourrat, Jean-Christophe
6
2015
A Sobolev inequality and the individual invariance principle for diffusions in a periodic potential. Zbl 1333.60169
Ba, Moustapha; Mathieu, Pierre
4
2015
On the dynamics of trap models in \(\mathbb{Z}^{d}\). Zbl 1307.60141
Fontes, L. R. G.; Mathieu, P.
11
2014
Einstein relation for reversible diffusions in a random environment. Zbl 1264.60062
Gantert, Nina; Mathieu, Pierre; Piatnitski, Andrey
17
2012
Scaling limits and aging for asymmetric trap models on the complete graph and \(K\) processes. Zbl 1277.82053
Bezerra, S. C.; Fontes, L. R. G.; Gava, R. J.; Gayrard, V.; Mathieu, P.
5
2012
\(k\)-independent percolation on trees. Zbl 1245.82026
Mathieu, Pierre; Temmel, Christoph
2
2012
Harmonic measures versus quasiconformal measures for hyperbolic groups. (Mesures harmoniques et mesures quasiconformes sur les groupes hyperboliques.) Zbl 1243.60005
Blachère, Sébastien; Haïssinsky, Peter; Mathieu, Pierre
35
2011
Quenched invariance principles for random walks with random conductances. Zbl 1214.82044
Mathieu, P.
51
2008
Asymptotic entropy and Green speed for random walks on countable groups. Zbl 1146.60008
Blachère, Sébastien; Haïssinsky, Peter; Mathieu, Pierre
17
2008
Mott law as upper bound for a random walk in a random environment. Zbl 1162.60025
Faggionato, A.; Mathieu, P.
11
2008
K-processes, scaling limit and aging for the trap model in the complete graph. Zbl 1154.60073
Fontes, L. R. G.; Mathieu, P.
11
2008
Quenched invariance principles for random walks on percolation clusters. Zbl 1131.82012
Mathieu, P.; Piatnitski, A.
78
2007
A new path description for the \({\mathcal M} (k+1,2k+3)\) models and the dual \({\mathcal Z}_k\) graded parafermions. Zbl 1456.81387
Jacob, P.; Mathieu, P.
1
2007
On symmetric random walks with random conductances on \(\mathbb Z^d\). Zbl 1086.60066
Fontes, L. R. G.; Mathieu, P.
19
2006
Carne-Varopoulos bounds for centered random walks. Zbl 1099.60049
Mathieu, Pierre
7
2006
Isoperimetry and heat kernel decay on percolation clusters. Zbl 1078.60085
Mathieu, Pierre; Remy, Elisabeth
49
2004
Itô formula for uniformly elliptic diffusions and Dirichlet processes. (Formule d’Itô pour des diffusions uniformément elliptiques, et processus de Dirichlet.) Zbl 1086.31007
Dupoiron, K.; Mathieu, P.; San Martin, J.
5
2004
Log-Sobolev and spectral gap inequalities for the knapsack Markov chain. Zbl 1028.60073
Mathieu, P.
1
2002
Heat kernel decay and isoperimetry on a percolation cluster. (Décroissance du noyau de la chaleur et isopérimétrie sur un amas de percolation.) Zbl 1017.60102
Mathieu, Pierre; Remy, Elisabeth
2
2001
Dirichlet processes associated to diffusions. Zbl 0983.60074
Mathieu, P.
1
2001
Convergence to equilibrium for spin glasses. Zbl 1018.82019
Mathieu, P.
10
2000
On the averaged dynamics of the random field Curie-Weiss model. Zbl 1073.60540
Fontes, Luiz Renato; Mathieu, Pierre; Picco, Pierre
2
2000
Metastability and convergence to equilibrium for the random field Curie-Weiss model. Zbl 0921.60096
Mathieu, P.; Picco, P.
11
1998
Which log-Sobolev inequality implies the spectral gap inequality. (Quand l’inégalité log-Sobolev implique l’inégalité de trou spectral.) Zbl 0913.60072
Mathieu, P.
10
1998
On random perturbations of dynamical systems and diffusions with a Brownian potential in dimension one. Zbl 0933.60018
Mathieu, Pierre
8
1998
Sobolev inequalities and waiting times. (Inégalités de Sobolev et temps d’atteinte.) Zbl 0922.60066
Mathieu, P.
1
1998
Hitting times and spectral gap inequalities. Zbl 0894.60070
Mathieu, P.
8
1997
Spectra, exit times and long time asymptotics in the zero-white-noise limit. Zbl 0886.60055
Mathieu, Pierre
13
1995
Limit theorems for diffusions with a random potential. Zbl 0849.60090
Mathieu, Pierre
7
1995
Zero white noise limit through Dirichlet forms, with application to diffusions in a random medium. Zbl 0803.60076
Mathieu, Pierre
17
1994
Construction and renormalization of intersection local times of two planar Brownian motions. (Construction et renormalisation des temps locaux d’intersection de deux mouvements Browniens plans.) Zbl 0826.60071
Mathieu, Pierre
1
1994
\(L_ p\) inequalities for the product of the suprema of several martingales stopped at random times. Weighted norm inequalities. (Inégalités en norme \(L_ p\) pour le produit des suprema de plusieurs martingales arrêtées à des temps aléatoires. Inégalités avec poids.) Zbl 0801.60034
Mathieu, Pierre
1
1993
all top 5

Cited by 349 Authors

16 Mathieu, Pierre
11 Deuschel, Jean-Dominique
11 Kumagai, Takashi
10 Andres, Sebastian
10 Faggionato, Alessandra
9 Slowik, Martin
8 Barlow, Martin T.
8 Mourrat, Jean-Christophe
7 Berger, Noam
6 Biskup, Marek
6 Fontes, Luiz Renato G.
6 Fribergh, Alexander
6 Gouëzel, Sébastien
5 Ben Arous, Gérard
5 Gantert, Nina
5 Tiozzo, Giulio
4 Caputo, Pietro
4 Černý, Jiří
4 Chen, Xin
4 Croydon, David A.
4 Gekhtman, Ilya
4 Jagannath, Aukosh
4 Kozma, Gady
4 Maher, Joseph
4 Miclo, Laurent
4 Müller, Sebastian
4 Peres, Yuval
4 Picco, Pierre
4 Rosenthal, Ron
4 Sisto, Alessandro
4 Zeitouni, Ofer
3 Aida, Shigeki
3 Boukhadra, Omar
3 Bovier, Anton
3 Bowditch, Adam M.
3 Chen, Xinxing
3 Comets, Francis M.
3 Di Gesù, Giacomo
3 Dussaule, Matthieu
3 Erschler, Anna
3 Gayrard, Véronique
3 Gilch, Lorenz A.
3 Gloria, Antoine
3 Gold, Julian
3 Heida, Martin
3 Hu, Yueyun
3 Landim, Claudio
3 Louidor, Oren
3 Lyons, Russell
3 Nectoux, Boris
3 Neukamm, Stefan
3 Nica, Bogdan
3 Piatnitski, Andrey L.
3 Popov, Serguei Yu.
3 Procaccia, Eviatar Ben
3 Salvi, Michele
3 Schäffner, Mathias
3 Tanaka, Ryokichi
3 Wang, Jian
2 Andreoletti, Pierre
2 Bardina, Xavier
2 Bella, Peter
2 Bianchi, Alessandra
2 Bodineau, Thierry
2 Boivin, Daniel
2 Bordenave, Charles
2 Boyer, Adrien
2 Cattiaux, Patrick
2 Chiarini, Alberto
2 Crawford, Nicholas
2 Dario, Paul
2 den Hollander, Frank
2 Depauw, Jérôme
2 Flegel, Franziska
2 Gaudilliere, Alexandre
2 Gheissari, Reza
2 Gong, Fuzhou
2 Gu, Chenlin
2 Guo, Xiaoqin
2 Hambly, Ben M.
2 Hammond, Alan
2 Han, Dong
2 Hartung, Lisa Bärbel
2 Kim, Daehong
2 Kusuoka, Seiichiro Kusuoka
2 Lam, Hoang-Chuong
2 Le Peutrec, Dorian
2 Lelièvre, Tony
2 Mathéus, Frédéric
2 Maucourant, François
2 Meiners, Matthias
2 Mimun, Hlafo Alfie
2 Mj, Mahan
2 Rau, Clément
2 Röckner, Michael
2 Rousselle, Arnaud
2 Rovira, Carles
2 Russo, Francesco
2 Saloff-Coste, Laurent
2 Sapozhnikov, Artëm
...and 249 more Authors
all top 5

Cited in 82 Serials

32 The Annals of Probability
31 Probability Theory and Related Fields
26 Stochastic Processes and their Applications
22 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
19 The Annals of Applied Probability
12 Journal of Statistical Physics
11 Journal of Functional Analysis
10 Electronic Journal of Probability
7 Communications in Mathematical Physics
7 Journal of Theoretical Probability
6 Communications on Pure and Applied Mathematics
6 Ergodic Theory and Dynamical Systems
6 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Inventiones Mathematicae
4 Bernoulli
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Annales de l’Institut Fourier
3 SIAM Journal on Mathematical Analysis
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Electronic Communications in Probability
3 Groups, Geometry, and Dynamics
2 Advances in Applied Probability
2 Archive for Rational Mechanics and Analysis
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Advances in Mathematics
2 Compositio Mathematica
2 Geometriae Dedicata
2 Journal of Applied Probability
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Statistics & Probability Letters
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Potential Analysis
2 Acta Mathematica Sinica. English Series
2 Multiscale Modeling & Simulation
2 Probability Surveys
2 Stochastic and Partial Differential Equations. Analysis and Computations
1 Physica A
1 Theoretical and Mathematical Physics
1 Acta Mathematica
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Tôhoku Mathematical Journal. Second Series
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 IMRN. International Mathematics Research Notices
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Combinatorics, Probability and Computing
1 Economic Theory
1 Discrete and Continuous Dynamical Systems
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of the European Mathematical Society (JEMS)
1 Stochastic Models
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Stochastics and Dynamics
1 Journal of the Institute of Mathematics of Jussieu
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Modern Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Topology and Analysis
1 Science China. Mathematics
1 Kyoto Journal of Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Annals of PDE
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Discrete Analysis
1 SIAM Journal on Mathematics of Data Science
1 Combinatorial Theory
all top 5

Cited in 43 Fields

269 Probability theory and stochastic processes (60-XX)
109 Statistical mechanics, structure of matter (82-XX)
39 Partial differential equations (35-XX)
32 Group theory and generalizations (20-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Combinatorics (05-XX)
15 Operator theory (47-XX)
14 Potential theory (31-XX)
11 Global analysis, analysis on manifolds (58-XX)
8 Measure and integration (28-XX)
8 Numerical analysis (65-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Difference and functional equations (39-XX)
5 Topological groups, Lie groups (22-XX)
5 Differential geometry (53-XX)
4 Functions of a complex variable (30-XX)
4 Ordinary differential equations (34-XX)
4 Functional analysis (46-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Real functions (26-XX)
3 Mechanics of deformable solids (74-XX)
3 Quantum theory (81-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year