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## Iturriaga, Renato

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 Author ID: iturriaga.renato Published as: Iturriaga, R.; Iturriaga, Renato
 Documents Indexed: 30 Publications since 1996, including 2 Books
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#### Co-Authors

 3 single-authored 9 Contreras, Gonzalo 9 Sánchez-Morgado, Héctor 4 Khanin, Konstantin M. 3 Paternain, Gabriel Pedro 2 Davini, Andrea 2 Fathi, Albert 2 Gomes, Diogo Luís Aguiar 2 Padilla, Pablo 2 Paternain, Miguel 2 Zavidovique, Maxime 1 Anantharaman, Nalini 1 Calvo, Omegar 1 Clapp, Mónica 1 Delgado, Jorge F. M. 1 Gambaudo, Jean-Marc 1 Lopes, Artur Oscar 1 Maderna, Ezequiel 1 Mengue, Jairo K. 1 Siconolfi, Antonio 1 Szulkin, Andrzej 1 Yu, Yifeng 1 Zhang, Ke
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#### Serials

 3 Proceedings of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 1 Communications in Mathematical Physics 1 Nonlinearity 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Celestial Mechanics and Dynamical Astronomy 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Calculus of Variations and Partial Differential Equations 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Advanced Nonlinear Studies 1 Aportaciones Matemáticas. Comunicaciones 1 Networks and Heterogeneous Media 1 Stochastic and Partial Differential Equations. Analysis and Computations
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#### Fields

 25 Dynamical systems and ergodic theory (37-XX) 10 Partial differential equations (35-XX) 9 Mechanics of particles and systems (70-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 371 times in 247 Documents Cited by Year
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
1998
Global minimizers of autonomous Lagrangians. Zbl 0957.37065
Contreras, Gonzalo; Iturriaga, Renato
1999
Convex Hamiltonians without conjugate points. Zbl 1044.37046
Contreras, Gonzalo; Iturriaga, Renato
1999
Lagrangian flows: the dynamics of globally minimizing orbits. II. Zbl 0892.58065
Contreras, Gonzalo; Delgado, Jorge; Iturriaga, Renato
1997
Convergence of the solutions of the discounted Hamilton-Jacobi equation. Convergence of the discounted solutions. Zbl 1362.35094
Davini, Andrea; Fathi, Albert; Iturriaga, Renato; Zavidovique, Maxime
2016
Burgers turbulence and random Lagrangian systems. Zbl 1029.76030
Iturriaga, R.; Khanin, K.
2003
Physical solutions of the Hamilton-Jacobi equation. Zbl 1081.37036
2005
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
2000
Mather measures selected by an approximation scheme. Zbl 1204.37063
Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng
2010
Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081
Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo
2005
Limit of the infinite horizon discounted Hamilton-Jacobi equation. Zbl 1217.37053
2011
Convergence of the solutions of the discounted equation: the discrete case. Zbl 1352.37170
Davini, Andrea; Fathi, Albert; Iturriaga, Renato; Zavidovique, Maxime
2016
A geometric proof of the existence of the Green bundles. Zbl 1067.37037
Iturriaga, Renato
2002
Periodic and Bloch solutions to a magnetic nonlinear Schrödinger equation. Zbl 1182.35203
Clapp, Mónica; Iturriaga, Renato; Szulkin, Andrzej
2009
Hyperbolicity and exponential convergence of the Lax-Oleinik semigroup. Zbl 1163.37021
2009
On the creation of conjugate points for Hamiltonian systems. Zbl 0999.37037
Contreras, G.; Iturriaga, R.; Sánchez-Morgado, H.
1998
Minimizing measures for time-dependent Lagrangians. Zbl 0854.58019
Iturriaga, Renato
1996
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
2003
Finsler metrics and action potentials. Zbl 0947.37032
2000
Generic uniqueness of the minimal Moulton central configuration. Zbl 1322.70007
2015
Contreras, Gonzalo; Iturriaga, Renato
1999
On the stochastic Aubry-Mather theory. Zbl 1100.37040
2005
Selection of calibrated subaction when temperature goes to zero in the discounted problem. Zbl 1394.37040
Iturriaga, Renato; Lopes, Artur O.; Mengue, Jairo K.
2018
A minimax selector for a class of Hamiltonians on cotangent bundles. Zbl 0998.37018
2000
Selection of calibrated subaction when temperature goes to zero in the discounted problem. Zbl 1394.37040
Iturriaga, Renato; Lopes, Artur O.; Mengue, Jairo K.
2018
Convergence of the solutions of the discounted Hamilton-Jacobi equation. Convergence of the discounted solutions. Zbl 1362.35094
Davini, Andrea; Fathi, Albert; Iturriaga, Renato; Zavidovique, Maxime
2016
Convergence of the solutions of the discounted equation: the discrete case. Zbl 1352.37170
Davini, Andrea; Fathi, Albert; Iturriaga, Renato; Zavidovique, Maxime
2016
Generic uniqueness of the minimal Moulton central configuration. Zbl 1322.70007
2015
Limit of the infinite horizon discounted Hamilton-Jacobi equation. Zbl 1217.37053
2011
Mather measures selected by an approximation scheme. Zbl 1204.37063
Gomes, Diogo; Iturriaga, Renato; Sánchez-Morgado, Héctor; Yu, Yifeng
2010
Periodic and Bloch solutions to a magnetic nonlinear Schrödinger equation. Zbl 1182.35203
Clapp, Mónica; Iturriaga, Renato; Szulkin, Andrzej
2009
Hyperbolicity and exponential convergence of the Lax-Oleinik semigroup. Zbl 1163.37021
2009
Physical solutions of the Hamilton-Jacobi equation. Zbl 1081.37036
2005
Viscosity limit of stationary distributions for the random forced Burgers equation. Zbl 1115.35081
Gomes, Diogo; Iturriaga, Renato; Khanin, Konstantin; Padilla, Pablo
2005
On the stochastic Aubry-Mather theory. Zbl 1100.37040
2005
Burgers turbulence and random Lagrangian systems. Zbl 1029.76030
Iturriaga, R.; Khanin, K.
2003
The asymptotic Maslov index and its applications. Zbl 1052.53055
Contreras, Gonzalo; Gambaudo, Jean-Marc; Iturriaga, Renato; Paternain, Gabriel P.
2003
A geometric proof of the existence of the Green bundles. Zbl 1067.37037
Iturriaga, Renato
2002
The Palais-Smale condition and Mañé’s critical values. Zbl 0986.58005
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
2000
Finsler metrics and action potentials. Zbl 0947.37032
2000
A minimax selector for a class of Hamiltonians on cotangent bundles. Zbl 0998.37018
2000
Global minimizers of autonomous Lagrangians. Zbl 0957.37065
Contreras, Gonzalo; Iturriaga, Renato
1999
Convex Hamiltonians without conjugate points. Zbl 1044.37046
Contreras, Gonzalo; Iturriaga, Renato
1999
Contreras, Gonzalo; Iturriaga, Renato
1999
Lagrangian graphs, minimizing measures and Mañé’s critical values. Zbl 0920.58015
Contreras, G.; Iturriaga, R.; Paternain, G. P.; Paternain, M.
1998
On the creation of conjugate points for Hamiltonian systems. Zbl 0999.37037
Contreras, G.; Iturriaga, R.; Sánchez-Morgado, H.
1998
Lagrangian flows: the dynamics of globally minimizing orbits. II. Zbl 0892.58065
Contreras, Gonzalo; Delgado, Jorge; Iturriaga, Renato
1997
Minimizing measures for time-dependent Lagrangians. Zbl 0854.58019
Iturriaga, Renato
1996
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#### Cited by 235 Authors

 16 Gomes, Diogo Luís Aguiar 11 Iturriaga, Renato 10 Lopes, Artur Oscar 10 Sánchez-Morgado, Héctor 9 Siconolfi, Antonio 9 Wang, Kaizhi 9 Yan, Jun 8 Arnaud, Marie-Claude 8 Bernard, Patrick 8 Cheng, Wei 8 Davini, Andrea 8 Mitake, Hiroyoshi 8 Paternain, Gabriel Pedro 7 Bakhtin, Yuri Yu. 7 Tran Vinh Hung 7 Zavidovique, Maxime 6 Abbondandolo, Alberto 6 Contreras, Gonzalo 6 Ruggiero, Rafael Oswaldo 6 Schröder, Jan Philipp 5 Asselle, Luca 5 de la Llave, Rafael 5 Ishii, Hitoshi 5 Sorrentino, Alfonso 5 Yu, Yifeng 5 Zanelli, Lorenzo 4 Dias Carneiro, Mario Jorge 4 Khanin, Konstantin M. 4 Mazzucchelli, Marco 4 Paternain, Miguel 4 Rassoul-Agha, Firas 4 Rifford, Ludovic 4 Soga, Kohei 4 Thieullen, Philippe 3 Barbosa Gomes, José 3 Benedetti, Gabriele 3 Boritchev, Alexandre 3 Capuzzo Dolcetta, Italo 3 Cardin, Franco 3 Chen, Qinbo 3 Cui, Xiaojun 3 Fathi, Albert 3 Figalli, Alessio 3 Granieri, Luca 3 Jin, Liang 3 Li, Xia 3 Liu, Qihuai 3 Massart, Daniel 3 Parmeggiani, Alberto 3 Su, Xifeng 3 Wang, Lin 2 Bernardi, Olga 2 Calleja, Renato C. 2 Camilli, Fabio 2 Cannarsa, Piermarco 2 Celletti, Alessandra 2 Cheng, Chong-Qing 2 Dairbekov, Nurlan S. 2 Delshams, Amadeu 2 Dunlap, Alexander 2 Evans, Lawrence Craig 2 Frauenfelder, Urs Adrian 2 Garibaldi, Eduardo 2 Georgiou, Nicos 2 Gess, Benjamin 2 Gonschorowski, Juliano S. 2 Macarini, Leonardo 2 Mengue, Jairo K. 2 Merry, Will J. 2 Miranda, José Antonio G. 2 Mohr, Joana 2 Nakayasu, Atsushi 2 Oliveira Dos Santos, Joana 2 Oliveira, Elismar R. 2 Pimentel, Edgard A. 2 Qian, Jianliang 2 Schlenk, Felix 2 M-Seara, Tere 2 Seppäläinen, Timo 2 Souza, Rafael Rigão 2 Taimanov, Iskander Asanovich 2 Uhlmann, Gunther Alberto 2 Wang, Lin 2 Xin, Jack X. 2 Yang, Minbo 2 Yi, Yingfei 2 Zhang, Ke 2 Zhou, Qinglong 1 Abatangelo, Laura 1 Abdulwahhab, Muhammad Alim 1 Achdou, Yves 1 Almulla, Noha 1 Alves, Claudianor Oliveira 1 Araújo, L. G. Perona 1 Arcostanzo, Marc 1 Batista, Tatiane C. 1 Bialy, Misha 1 Bisgaard, Mads R. 1 Bissacot, Rodrigo 1 Bolle, Philippe ...and 135 more Authors
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#### Cited in 101 Serials

 16 Calculus of Variations and Partial Differential Equations 14 Proceedings of the American Mathematical Society 13 Journal of Differential Equations 10 Ergodic Theory and Dynamical Systems 8 Nonlinearity 8 Bulletin of the Brazilian Mathematical Society. New Series 7 Communications in Mathematical Physics 6 Israel Journal of Mathematics 6 Advances in Mathematics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Discrete and Continuous Dynamical Systems 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications in Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Statistical Physics 3 Mathematics of Computation 3 Geometriae Dedicata 3 Probability Theory and Related Fields 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of Modern Dynamics 3 Journal of Topology and Analysis 3 Science China. Mathematics 3 Dynamic Games and Applications 3 Stochastic and Partial Differential Equations. Analysis and Computations 2 Archive for Rational Mechanics and Analysis 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Rendiconti del Seminario Matematico della Università di Padova 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 The Journal of Fourier Analysis and Applications 2 Mathematical Physics, Analysis and Geometry 2 Geometry & Topology 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Fixed Point Theory and Applications 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Journal of Geometric Mechanics 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Optimization 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 SIAM Journal on Scientific Computing 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Networks and Heterogeneous Media 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 Evolution Equations and Control Theory 1 Journal of Function Spaces 1 Séminaire Laurent Schwartz. EDP et Applications 1 Minimax Theory and its Applications ...and 1 more Serials
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#### Cited in 33 Fields

 158 Dynamical systems and ergodic theory (37-XX) 99 Partial differential equations (35-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 46 Mechanics of particles and systems (70-XX) 42 Differential geometry (53-XX) 23 Probability theory and stochastic processes (60-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Numerical analysis (65-XX) 10 Fluid mechanics (76-XX) 9 Quantum theory (81-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Ordinary differential equations (34-XX) 7 Manifolds and cell complexes (57-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Systems theory; control (93-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX)