## Hervé, Loïc

Compute Distance To:
 Author ID: herve.loic Published as: Hervé, Loïc; Hervé, L.; Hervé, Loic; Herve, Loïc more...less
 Documents Indexed: 35 Publications since 1992, including 1 Book Co-Authors: 10 Co-Authors with 25 Joint Publications 149 Co-Co-Authors
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### Co-Authors

 10 single-authored 12 Ledoux, James 4 Hennion, Hubert 4 Pène, Françoise 2 Briane, Marc 2 Ferré, Déborah 2 Guibourg, Denis 2 Louhichi, Sana 1 Conze, Jean-Pierre 1 Patilea, Valentin 1 Raugi, Albert
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### Serials

 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Applied Probability 3 Statistics & Probability Letters 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 Potential Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Advances in Applied Probability 1 The Annals of Probability 1 Bulletin de la Société Mathématique de France 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Applied and Computational Harmonic Analysis 1 Electronic Communications in Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Methodology and Computing in Applied Probability 1 Lecture Notes in Mathematics
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### Fields

 24 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

24 Publications have been cited 290 times in 225 Documents Cited by Year
Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness. Zbl 0983.60005
Hennion, Hubert; Hervé, Loïc
2001
The Nagaev-Guivarc’h method via the Keller-Liverani theorem. (La méthode de Nagaev-Guivarc’h via le théorème de Keller-Liverani.) Zbl 1205.60133
Hervé, Loïc; Pène, Françoise
2010
Central limit theorems for iterated random Lipschitz mappings. Zbl 1062.60017
Hennion, Hubert; Hervé, Loïc
2004
Multi-resolution analysis of multiplicity $$d$$: Applications to dyadic interpolation. Zbl 0814.42017
Hervé, Loïc
1994
Self-affine tilings, transfer operators and lattice criteria in $$\mathbb{R}^ d$$. (Pavages auto-affines, opérateurs de transfert et critères de réseau dans $$\mathbb{R}^ d$$.) Zbl 0883.42029
Conze, J.-P.; Hervé, L.; Raugi, A.
1997
Approximating Markov chains and $$V$$-geometric ergodicity via weak perturbation theory. Zbl 1305.60059
Hervé, Loïc; Ledoux, James
2014
Construction and regularity of scaling functions. (Construction et régularité des fonctions d’échelle.) Zbl 0848.42023
Hervé, Loïc
1995
Local theorem for Markov chains with quasicompact transition probability. Applications to $$V$$-geometrically ergodic chains and iterative models. (Théorème local pour chaînes de Markov de probabilité de transition quasi-compacte. Applications aux chaînes $$V$$-géométriquement ergodiques et aux modéles itératifs.) Zbl 1085.60049
Hervé, Loïc
2005
Limit theorems for stationary Markov processes with $$L^{2}$$-spectral gap. Zbl 1245.60068
Ferré, Déborah; Hervé, Loïc; Ledoux, James
2012
Regular perturbation of $$V$$-geometrically ergodic Markov chains. Zbl 1276.60075
Ferré, Déborah; Hervé, Loïc; Ledoux, James
2013
Quasi-compact positive operators. Applications to transfer operators. (Étude d’opérateurs quasi-compacts positifs. Applications aux opérateurs de transfert.) Zbl 0804.47038
Hervé, Loïc
1994
Stable laws and products of positive random matrices. Zbl 1154.60014
Hennion, H.; Hervé, L.
2008
A uniform Berry-Esseen theorem on $$M$$-estimators for geometrically ergodic Markov chains. Zbl 1279.60089
Hervé, Loïc; Ledoux, James; Patilea, Valentin
2012
On the recurrence set of planar Markov random walks. Zbl 1317.60053
Hervé, Loïc; Pène, Françoise
2013
Rate of convergence in the central limit theorem for strongly ergodic Markov chains. (Vitesse de convergence dans le théorème limite central pour des chaînes de Markov fortement ergodiques.) Zbl 1178.60051
Hervé, Loïc
2008
A renewal theorem for strongly ergodic Markov chains in dimension $$d \geq 3$$ and centered case. Zbl 1218.60062
Guibourg, Denis; Hervé, Loïc
2011
Régularité et conditions de bases de Riesz pour les fonctions d’échelle. (On the regularity and the Riesz basis properties of scaling functions). Zbl 0778.42026
Herve, Loïc
1992
Spectral analysis of Markov kernels and application to the convergence rate of discrete random walks. Zbl 1305.60060
Hervé, Loïc; Ledoux, James
2014
Quasi-compactness and mean ergodicity for Markov kernels acting on weighted supremum normed spaces. Zbl 1186.37014
Hervé, Loïc
2008
A local limit theorem for densities of the additive component of a finite Markov additive process. Zbl 1296.60056
Hervé, Loïc; Ledoux, James
2013
Multidimensional renewal theory in the non-centered case: application to strongly ergodic Markov chains. Zbl 1273.60083
Guibourg, Denis; Hervé, Loïc
2013
Computable bounds of an $$\ell^2$$-spectral gap for discrete Markov chains with band transition matrices. Zbl 1351.60092
Hervé, Loïc; Ledoux, James
2016
Wavelet packet transform of stationary signals: Asymptotic behaviour of spectral densities. (Transformée en paquets d’ondelettes des signaux stationnaires: Comportement asymptotique des densités spectrales.) Zbl 0867.94004
Hervé, Loïc
1996
State-discretization of $$V$$-geometrically ergodic Markov chains and convergence to the stationary distribution. Zbl 1460.60074
Hervé, Loic; Ledoux, James
2020
State-discretization of $$V$$-geometrically ergodic Markov chains and convergence to the stationary distribution. Zbl 1460.60074
Hervé, Loic; Ledoux, James
2020
Computable bounds of an $$\ell^2$$-spectral gap for discrete Markov chains with band transition matrices. Zbl 1351.60092
Hervé, Loïc; Ledoux, James
2016
Approximating Markov chains and $$V$$-geometric ergodicity via weak perturbation theory. Zbl 1305.60059
Hervé, Loïc; Ledoux, James
2014
Spectral analysis of Markov kernels and application to the convergence rate of discrete random walks. Zbl 1305.60060
Hervé, Loïc; Ledoux, James
2014
Regular perturbation of $$V$$-geometrically ergodic Markov chains. Zbl 1276.60075
Ferré, Déborah; Hervé, Loïc; Ledoux, James
2013
On the recurrence set of planar Markov random walks. Zbl 1317.60053
Hervé, Loïc; Pène, Françoise
2013
A local limit theorem for densities of the additive component of a finite Markov additive process. Zbl 1296.60056
Hervé, Loïc; Ledoux, James
2013
Multidimensional renewal theory in the non-centered case: application to strongly ergodic Markov chains. Zbl 1273.60083
Guibourg, Denis; Hervé, Loïc
2013
Limit theorems for stationary Markov processes with $$L^{2}$$-spectral gap. Zbl 1245.60068
Ferré, Déborah; Hervé, Loïc; Ledoux, James
2012
A uniform Berry-Esseen theorem on $$M$$-estimators for geometrically ergodic Markov chains. Zbl 1279.60089
Hervé, Loïc; Ledoux, James; Patilea, Valentin
2012
A renewal theorem for strongly ergodic Markov chains in dimension $$d \geq 3$$ and centered case. Zbl 1218.60062
Guibourg, Denis; Hervé, Loïc
2011
The Nagaev-Guivarc’h method via the Keller-Liverani theorem. (La méthode de Nagaev-Guivarc’h via le théorème de Keller-Liverani.) Zbl 1205.60133
Hervé, Loïc; Pène, Françoise
2010
Stable laws and products of positive random matrices. Zbl 1154.60014
Hennion, H.; Hervé, L.
2008
Rate of convergence in the central limit theorem for strongly ergodic Markov chains. (Vitesse de convergence dans le théorème limite central pour des chaînes de Markov fortement ergodiques.) Zbl 1178.60051
Hervé, Loïc
2008
Quasi-compactness and mean ergodicity for Markov kernels acting on weighted supremum normed spaces. Zbl 1186.37014
Hervé, Loïc
2008
Local theorem for Markov chains with quasicompact transition probability. Applications to $$V$$-geometrically ergodic chains and iterative models. (Théorème local pour chaînes de Markov de probabilité de transition quasi-compacte. Applications aux chaînes $$V$$-géométriquement ergodiques et aux modéles itératifs.) Zbl 1085.60049
Hervé, Loïc
2005
Central limit theorems for iterated random Lipschitz mappings. Zbl 1062.60017
Hennion, Hubert; Hervé, Loïc
2004
Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness. Zbl 0983.60005
Hennion, Hubert; Hervé, Loïc
2001
Self-affine tilings, transfer operators and lattice criteria in $$\mathbb{R}^ d$$. (Pavages auto-affines, opérateurs de transfert et critères de réseau dans $$\mathbb{R}^ d$$.) Zbl 0883.42029
Conze, J.-P.; Hervé, L.; Raugi, A.
1997
Wavelet packet transform of stationary signals: Asymptotic behaviour of spectral densities. (Transformée en paquets d’ondelettes des signaux stationnaires: Comportement asymptotique des densités spectrales.) Zbl 0867.94004
Hervé, Loïc
1996
Construction and regularity of scaling functions. (Construction et régularité des fonctions d’échelle.) Zbl 0848.42023
Hervé, Loïc
1995
Multi-resolution analysis of multiplicity $$d$$: Applications to dyadic interpolation. Zbl 0814.42017
Hervé, Loïc
1994
Quasi-compact positive operators. Applications to transfer operators. (Étude d’opérateurs quasi-compacts positifs. Applications aux opérateurs de transfert.) Zbl 0804.47038
Hervé, Loïc
1994
Régularité et conditions de bases de Riesz pour les fonctions d’échelle. (On the regularity and the Riesz basis properties of scaling functions). Zbl 0778.42026
Herve, Loïc
1992
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### Cited by 282 Authors

 18 Hervé, Loïc 10 Ledoux, James 10 Pène, Françoise 9 Damek, Ewa 7 Dedecker, Jérôme 7 Gouëzel, Sébastien 7 Hafouta, Yeor 7 Merlevède, Florence 7 Vaienti, Sandro 6 Aaronson, Jon 6 Buraczewski, Dariusz 6 Demers, Mark F. 6 Dutkay, Dorin Ervin 5 Durieu, Olivier 5 Froyland, Gary 5 Mirek, Mariusz 4 Conze, Jean-Pierre 4 Cuny, Christophe 4 Grama, Ion G. 4 Jørgensen, Palle E. T. 4 Nicol, Matthew 4 Raugi, Albert 3 Bromberg, Michael 3 Dehling, Herold G. 3 Dragičević, Davor 3 Faranda, Davide 3 Fernando, Kasun 3 Ferré, Déborah 3 Guibourg, Denis 3 Guivarc’h, Yves 3 Hennion, Hubert 3 Jurga, Natalia 3 Kesseböhmer, Marc 3 Le Page, Emile 3 Melbourne, Ian 3 Peligrad, Magda 3 Plonka, Gerlind 3 Schindler, Tanja I. 3 Xiao, Hui 2 Aimino, Romain 2 Calogero, Andrea 2 Charfi, Salma 2 Crimmins, Harry 2 Daubechies, Ingrid Chantal 2 Dolgopyat, Dmitry 2 Galatolo, Stefano 2 Gao, Zhiqiang 2 González-Tokman, Cecilia 2 Hebbar, Pratima 2 Jeribi, Aref 2 Jirak, Moritz 2 Keller, Gerhard 2 Koralov, Leonid B. 2 Leplaideur, Renaud 2 Liu, Quansheng 2 Liverani, Carlangelo 2 Masuyama, Hiroyuki 2 Mauduit, Christian 2 Mentemeier, Sebastian 2 Morris, Ian D. 2 Nakada, Hitoshi 2 Peigné, Marc 2 Peligrad, Costel 2 Rey-Bellet, Luc 2 Rousseau, Jérôme 2 Saussol, Benoît 2 Sun, Qiyu 2 Szewczak, Zbigniew Stanisław 2 Thomine, Damien 2 Tusche, Marco 2 Walkden, Charles 2 Wouters, Jeroen 2 Yiou, Pascal 2 Zienkiewicz, Jacek 1 Abbas, Karim 1 Abbes, Samy 1 Aghazadeh, Nasser 1 Aissani, Djamil 1 Akinyemi, M. I. 1 Aldroubi, Akram 1 Ammar, Aymen 1 Antown, Fadi 1 Bahsoun, Wael 1 Barahona, Mauricio 1 Baraviera, Alexandre Tavares 1 Bardet, Jean-Baptiste 1 Benharrat, Mohammed 1 Birrell, Jeremiah 1 Björklund, Michael 1 Blu, Thierry 1 Boshnakov, Georgi N. 1 Bownik, Marcin 1 Caby, Theo 1 Caby, Theophile 1 Castell, Fabienne 1 Castro, Armando 1 Cénac, Peggy 1 Cerveau, Dominique 1 Chandgotia, Nishant 1 Chazottes, Jean-René ...and 182 more Authors
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### Cited in 91 Serials

 14 Stochastic Processes and their Applications 12 Ergodic Theory and Dynamical Systems 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Probability Theory and Related Fields 8 Dynamical Systems 7 Nonlinearity 7 Transactions of the American Mathematical Society 7 Journal of Theoretical Probability 6 Applied and Computational Harmonic Analysis 6 Bernoulli 6 The Journal of Fourier Analysis and Applications 6 Stochastics and Dynamics 5 Communications in Mathematical Physics 5 Israel Journal of Mathematics 5 The Annals of Probability 5 Statistics & Probability Letters 4 Journal of Applied Probability 4 Annales Henri Poincaré 3 Journal of Statistical Physics 3 Mathematics of Computation 3 Acta Applicandae Mathematicae 3 Constructive Approximation 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Advances in Applied Probability 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Boletim da Sociedade Brasileira de Matemática. Nova Série 2 Journal of Difference Equations and Applications 2 Methodology and Computing in Applied Probability 2 Journal of Modern Dynamics 1 American Mathematical Monthly 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 The Annals of Statistics 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Kybernetika 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Real Analysis Exchange 1 SIAM Journal on Numerical Analysis 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of the Nigerian Mathematical Society 1 Physica D 1 Asymptotic Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Communications in Statistics. Theory and Methods 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Matematicheskie Trudy 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 RAIRO. Operations Research 1 Kragujevac Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Journal of Statistics 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Statistics and Computing 1 SIAM/ASA Journal on Uncertainty Quantification 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 36 Fields

 139 Probability theory and stochastic processes (60-XX) 95 Dynamical systems and ergodic theory (37-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 22 Operator theory (47-XX) 15 Statistics (62-XX) 13 Numerical analysis (65-XX) 10 Measure and integration (28-XX) 7 Number theory (11-XX) 7 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Integral equations (45-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)