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Author ID: forni.giovanni Recent zbMATH articles by "Forni, Giovanni"
Published as: Forni, Giovanni; Forni, G.
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Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 760 times in 400 Documents Cited by Year
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus. Zbl 1034.37003
Forni, Giovanni
109
2002
Weak mixing for interval exchange transformations and translation flows. Zbl 1136.37003
Avila, Artur; Forni, Giovanni
83
2007
Invariant distributions and time averages for horocycle flows. Zbl 1044.37017
Flaminio, Livio; Forni, Giovanni
75
2003
Action minimizing orbits in Hamiltonian systems. Zbl 0822.70011
Mather, John N.; Forni, Giovanni
52
1994
Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus. Zbl 0893.58037
Forni, Giovanni
39
1997
Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. Zbl 1377.37057
Forni, Giovanni; Matheus, Carlos
39
2014
On the Lyapunov exponents of the Kontsevich-Zorich cocycle. Zbl 1130.37302
Forni, Giovanni
26
2006
Time-changes of horocycle flows. Zbl 1254.37006
Forni, Giovanni; Ulcigrai, Corinna
26
2012
Equidistribution of nilflows and applications to theta sums. Zbl 1087.37026
Flaminio, Livio; Forni, Giovanni
25
2006
Square-tiled cyclic covers. Zbl 1276.37021
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
22
2011
Limit theorems for horocycle flows. (Théorèmes limites pour les flots horocycliques.) Zbl 1360.37086
Bufetov, Alexander; Forni, Giovanni
21
2014
A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle. Zbl 1238.30031
Forni, Giovanni
21
2011
On the cohomological equation for nilflows. Zbl 1114.37004
Flaminio, Livio; Forni, Giovanni
19
2007
Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
19
2014
Mixing for the time-changes of Heisenberg nilflows. Zbl 1281.37012
Avila, Artur; Forni, Giovanni; Ulcigrai, Corinna
18
2011
Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
14
2014
Analytic destruction of invariant circles. Zbl 0817.58018
Forni, Giovanni
13
1994
Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows. (Mélange multiple et disjonction pour LES reparamétrisations des flots nilpotents de type borné.) Zbl 1436.37039
Forni, Giovanni; Kanigowski, Adam
12
2020
Deviation of ergodic averages for rational polygonal billiards. Zbl 1153.37001
Athreya, J. S.; Forni, G.
12
2008
Effective equidistribution of twisted horocycle flows and horocycle maps. Zbl 1369.37004
Flaminio, Livio; Forni, Giovanni; Tanis, James
12
2016
Lebesgue spectrum of countable multiplicity for conservative flows on the torus. Zbl 1493.37008
Fayad, Bassam; Forni, Giovanni; Kanigowski, Adam
11
2021
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows. Zbl 1432.37059
Flaminio, Livio; Forni, Giovanni
10
2019
On the Greenfield-Wallach and Katok conjectures in dimension three. Zbl 1156.37003
Forni, Giovanni
10
2008
Transport properties of kicked and quasiperiodic Hamiltonians. Zbl 0923.47042
De Bièvre, S.; Forni, G.
7
1998
Invariant distributions for homogeneous flows and affine transformations. Zbl 1373.37008
Flaminio, Livio; Forni, Giovanni; Rodriguez Hertz, Federico
7
2016
Mixing for smooth time-changes of general nilflows. Zbl 1479.37022
Avila, Artur; Forni, Giovanni; Ravotti, Davide; Ulcigrai, Corinna
7
2021
Construction of invariant measures supported within the gaps of Aubry-Mather sets. Zbl 0856.58024
Forni, Giovanni
6
1996
Time-changes of Heisenberg nilflows. Zbl 1470.37005
Forni, Giovanni; Kanigowski, Adam
6
2020
Asymptotic behaviour of ergodic integrals of ‘renormalizable’ parabolic flows. Zbl 1055.37028
Forni, G.
5
2002
Sobolev regularity of solutions of the cohomological equation. Zbl 1515.37034
Forni, Giovanni
5
2021
Effective equidistribution of nilflows and bounds on Weyl sums. Zbl 1461.37006
Forni, Giovanni
5
2016
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031
Forni, Giovanni
4
2022
Homology and cohomology with compact supports for \(q\)-convex spaces. Zbl 0758.32008
Forni, Giovanni
3
1991
The cohomological equation for area-preserving flows on compact surfaces. Zbl 0854.58033
Forni, Giovanni
2
1995
Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups. Zbl 1388.37030
Filip, Simion; Forni, Giovanni; Matheus, Carlos
2
2018
On the Brin Prize work of Artur Avila in Teichmüller dynamics and interval-exchange transformations. Zbl 1272.37002
Forni, Giovanni
2
2012
On the growth of averaged Weyl sums for rigid rotations. Zbl 0908.11037
De Bièvre, S.; Forni, G.
2
1998
Mixing flows on moduli spaces of flat bundles over surfaces. Zbl 1417.37014
Forni, Giovanni; Goldman, William M.
2
2018
Twisted translation flows and effective weak mixing. Zbl 1505.37009
Forni, Giovanni
2
2022
Limits of geodesic push-forwards of horocycle invariant measures. Zbl 1490.37006
Forni, Giovanni
2
2021
Limit theorems for horocycle flows. Zbl 1375.37101
Forni, Giovanni
1
2015
Bill Veech’s contributions to dynamical systems. Zbl 1415.37006
Forni, Giovanni; Masur, Howard; Smillie, John
1
2019
Quantitative weak mixing for interval exchange transformations. Zbl 1514.37012
Avila, Artur; Forni, Giovanni; Safaee, Pedram
1
2023
Quantitative weak mixing for interval exchange transformations. Zbl 1514.37012
Avila, Artur; Forni, Giovanni; Safaee, Pedram
1
2023
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces. Zbl 1491.37031
Forni, Giovanni
4
2022
Twisted translation flows and effective weak mixing. Zbl 1505.37009
Forni, Giovanni
2
2022
Lebesgue spectrum of countable multiplicity for conservative flows on the torus. Zbl 1493.37008
Fayad, Bassam; Forni, Giovanni; Kanigowski, Adam
11
2021
Mixing for smooth time-changes of general nilflows. Zbl 1479.37022
Avila, Artur; Forni, Giovanni; Ravotti, Davide; Ulcigrai, Corinna
7
2021
Sobolev regularity of solutions of the cohomological equation. Zbl 1515.37034
Forni, Giovanni
5
2021
Limits of geodesic push-forwards of horocycle invariant measures. Zbl 1490.37006
Forni, Giovanni
2
2021
Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows. (Mélange multiple et disjonction pour LES reparamétrisations des flots nilpotents de type borné.) Zbl 1436.37039
Forni, Giovanni; Kanigowski, Adam
12
2020
Time-changes of Heisenberg nilflows. Zbl 1470.37005
Forni, Giovanni; Kanigowski, Adam
6
2020
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows. Zbl 1432.37059
Flaminio, Livio; Forni, Giovanni
10
2019
Bill Veech’s contributions to dynamical systems. Zbl 1415.37006
Forni, Giovanni; Masur, Howard; Smillie, John
1
2019
Quaternionic covers and monodromy of the Kontsevich-Zorich cocycle in orthogonal groups. Zbl 1388.37030
Filip, Simion; Forni, Giovanni; Matheus, Carlos
2
2018
Mixing flows on moduli spaces of flat bundles over surfaces. Zbl 1417.37014
Forni, Giovanni; Goldman, William M.
2
2018
Effective equidistribution of twisted horocycle flows and horocycle maps. Zbl 1369.37004
Flaminio, Livio; Forni, Giovanni; Tanis, James
12
2016
Invariant distributions for homogeneous flows and affine transformations. Zbl 1373.37008
Flaminio, Livio; Forni, Giovanni; Rodriguez Hertz, Federico
7
2016
Effective equidistribution of nilflows and bounds on Weyl sums. Zbl 1461.37006
Forni, Giovanni
5
2016
Limit theorems for horocycle flows. Zbl 1375.37101
Forni, Giovanni
1
2015
Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards. Zbl 1377.37057
Forni, Giovanni; Matheus, Carlos
39
2014
Limit theorems for horocycle flows. (Théorèmes limites pour les flots horocycliques.) Zbl 1360.37086
Bufetov, Alexander; Forni, Giovanni
21
2014
Lyapunov spectrum of invariant subbundles of the Hodge bundle. Zbl 1290.37002
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
19
2014
Zero Lyapunov exponents of the Hodge bundle. Zbl 1316.32010
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
14
2014
Time-changes of horocycle flows. Zbl 1254.37006
Forni, Giovanni; Ulcigrai, Corinna
26
2012
On the Brin Prize work of Artur Avila in Teichmüller dynamics and interval-exchange transformations. Zbl 1272.37002
Forni, Giovanni
2
2012
Square-tiled cyclic covers. Zbl 1276.37021
Forni, Giovanni; Matheus, Carlos; Zorich, Anton
22
2011
A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle. Zbl 1238.30031
Forni, Giovanni
21
2011
Mixing for the time-changes of Heisenberg nilflows. Zbl 1281.37012
Avila, Artur; Forni, Giovanni; Ulcigrai, Corinna
18
2011
Deviation of ergodic averages for rational polygonal billiards. Zbl 1153.37001
Athreya, J. S.; Forni, G.
12
2008
On the Greenfield-Wallach and Katok conjectures in dimension three. Zbl 1156.37003
Forni, Giovanni
10
2008
Weak mixing for interval exchange transformations and translation flows. Zbl 1136.37003
Avila, Artur; Forni, Giovanni
83
2007
On the cohomological equation for nilflows. Zbl 1114.37004
Flaminio, Livio; Forni, Giovanni
19
2007
On the Lyapunov exponents of the Kontsevich-Zorich cocycle. Zbl 1130.37302
Forni, Giovanni
26
2006
Equidistribution of nilflows and applications to theta sums. Zbl 1087.37026
Flaminio, Livio; Forni, Giovanni
25
2006
Invariant distributions and time averages for horocycle flows. Zbl 1044.37017
Flaminio, Livio; Forni, Giovanni
75
2003
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus. Zbl 1034.37003
Forni, Giovanni
109
2002
Asymptotic behaviour of ergodic integrals of ‘renormalizable’ parabolic flows. Zbl 1055.37028
Forni, G.
5
2002
Transport properties of kicked and quasiperiodic Hamiltonians. Zbl 0923.47042
De Bièvre, S.; Forni, G.
7
1998
On the growth of averaged Weyl sums for rigid rotations. Zbl 0908.11037
De Bièvre, S.; Forni, G.
2
1998
Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus. Zbl 0893.58037
Forni, Giovanni
39
1997
Construction of invariant measures supported within the gaps of Aubry-Mather sets. Zbl 0856.58024
Forni, Giovanni
6
1996
The cohomological equation for area-preserving flows on compact surfaces. Zbl 0854.58033
Forni, Giovanni
2
1995
Action minimizing orbits in Hamiltonian systems. Zbl 0822.70011
Mather, John N.; Forni, Giovanni
52
1994
Analytic destruction of invariant circles. Zbl 0817.58018
Forni, Giovanni
13
1994
Homology and cohomology with compact supports for \(q\)-convex spaces. Zbl 0758.32008
Forni, Giovanni
3
1991
all top 5

Cited by 385 Authors

18 Forni, Giovanni
14 Kanigowski, Adam
14 Ulcigrai, Corinna
13 Avila, Artur
12 Bufetov, Aleksandr Igorevich
11 Matheus, Carlos
10 Eskin, Alex
10 Kaloshin, Vadim Yu.
10 Wright, Alex
9 Chaika, Jonathan
9 Frączek, Krzysztof Marek
9 Yoccoz, Jean-Christophe
8 Dolgopyat, Dmitry
8 Marmi, Stefano
8 Ravotti, Davide
7 Filip, Simion
7 Hubert, Pascal
7 Sorrentino, Alfonso
7 Tanis, James H.
6 Dong, Changguang
6 Fayad, Bassam R.
6 Ferenczi, Sébastien
6 Kirilov, Alexandre
6 Möller, Martin
6 Solomyak, Boris
6 Treviño, Rodrigo
6 Weich, Tobias
5 Mirzakhani, Maryam
5 Strömbergsson, Andreas
4 Athreya, Jayadev S.
4 Aulicino, David
4 Chen, Dawei
4 Damjanović, Danijela
4 de la Llave, Rafael
4 Flaminio, Livio
4 Gouëzel, Sébastien
4 Hilgert, Joachim
4 Khalil, Osama
4 Marklof, Jens
4 Tiedra de Aldecoa, Rafael
4 Valdinoci, Enrico
4 Wang, Lin
4 Weiss, Barak
3 Arnaud, Marie-Claude
3 Chen, Qinbo
3 Cheng, Chong-Qing
3 Damanik, David
3 de Moraes, Wagner Augusto Almeida
3 Delecroix, Vincent
3 Germinet, François
3 Gomes, Diogo Luís Aguiar
3 Guillarmou, Colin
3 Kim, Minsung
3 Lanneau, Erwan
3 Lemańczyk, Mariusz
3 Lueptow, Richard M.
3 Marchese, Luca
3 Marò, Stefano
3 Mohammadi, Amir
3 Moussa, Pierre
3 Mramor, Blaz
3 Nándori, Péter
3 Ottino, Julio M.
3 Pardo, Angel
3 Ramírez, Felipe A.
3 Rink, Bob W.
3 Umbanhowar, Paul B.
3 Wang, Zhenqi Jenny
3 Zorich, Anton Vladimirovich
2 Abrams, Adam
2 Araújo, Vítor
2 Ashwin, Peter
2 Baladi, Viviane
2 Berk, Przemysław
2 Björklund, Michael
2 Boshernitzan, Michael D.
2 Bourgain, Jean
2 Cao, Zhenbang
2 Carrand, Jérôme
2 Cellarosi, Francesco
2 Cheng, Wei
2 Colţoiu, Mihnea
2 de Ávila Silva, Fernando
2 De Leo, Roberto
2 Duclos, Pierre
2 Durand, Fabien
2 Edwards, Samuel C.
2 Einsiedler, Manfred Leopold
2 Faure, Frédéric
2 Froyland, Gary
2 Galante, Joseph R.
2 Ghazouani, Selim
2 Goetz, Arek
2 Gorodnik, Alexander
2 Gramchev, Todor V.
2 Grebogi, Celso
2 Gutiérrez-Romo, Rodolfo
2 Hooper, W. Patrick
2 Huang, Guan
2 Huang, Hai
...and 285 more Authors
all top 5

Cited in 116 Serials

32 Ergodic Theory and Dynamical Systems
29 Journal of Modern Dynamics
15 Inventiones Mathematicae
14 Geometric and Functional Analysis. GAFA
13 Duke Mathematical Journal
13 Annals of Mathematics. Second Series
12 Communications in Mathematical Physics
12 Discrete and Continuous Dynamical Systems
11 Journal d’Analyse Mathématique
11 Advances in Mathematics
10 Israel Journal of Mathematics
9 Journal of Differential Equations
8 Nonlinearity
8 Journal of the European Mathematical Society (JEMS)
7 Geometriae Dedicata
6 Annales de l’Institut Fourier
6 Publications Mathématiques
5 Journal of Mathematical Analysis and Applications
5 Journal of the London Mathematical Society. Second Series
5 Transactions of the American Mathematical Society
5 Journal of the American Mathematical Society
5 Geometry & Topology
5 Journal de l’École Polytechnique – Mathématiques
4 Journal of Statistical Physics
4 Journal für die Reine und Angewandte Mathematik
4 Proceedings of the American Mathematical Society
4 Bulletin of the American Mathematical Society. New Series
4 Annales Henri Poincaré
3 Bulletin de la Société Mathématique de France
3 Commentarii Mathematici Helvetici
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Experimental Mathematics
3 Regular and Chaotic Dynamics
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Oberwolfach Reports
2 Journal of Mathematical Physics
2 Reviews in Mathematical Physics
2 Bulletin of the London Mathematical Society
2 Illinois Journal of Mathematics
2 Mathematische Zeitschrift
2 Proceedings of the London Mathematical Society. Third Series
2 Physica D
2 Expositiones Mathematicae
2 Journal of Nonlinear Science
2 Conformal Geometry and Dynamics
2 Qualitative Theory of Dynamical Systems
2 Algebraic & Geometric Topology
2 Bollettino dell’Unione Matematica Italiana
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Acta Mathematica
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Geometry
1 Journal of Number Theory
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Rendiconti del Seminario Matematico della Università di Padova
1 Zeitschrift für Analysis und ihre Anwendungen
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Boletim da Sociedade Portuguesa de Matemática
1 Science in China. Series A
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 L’Enseignement Mathématique. 2e Série
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Celestial Mechanics and Dynamical Astronomy
1 Journal of Dynamics and Differential Equations
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 St. Petersburg Mathematical Journal
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Mathematical Physics, Analysis and Geometry
1 Chaos
1 Matematicheskie Trudy
1 Journal of Mathematical Fluid Mechanics
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Dynamical Systems
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Applied Dynamical Systems
1 Journal of the Institute of Mathematics of Jussieu
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Proyecciones
1 Groups, Geometry, and Dynamics
...and 16 more Serials
all top 5

Cited in 39 Fields

328 Dynamical systems and ergodic theory (37-XX)
58 Several complex variables and analytic spaces (32-XX)
56 Functions of a complex variable (30-XX)
44 Number theory (11-XX)
36 Topological groups, Lie groups (22-XX)
29 Algebraic geometry (14-XX)
24 Mechanics of particles and systems (70-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Differential geometry (53-XX)
20 Partial differential equations (35-XX)
18 Probability theory and stochastic processes (60-XX)
17 Manifolds and cell complexes (57-XX)
14 Measure and integration (28-XX)
13 Operator theory (47-XX)
13 Quantum theory (81-XX)
12 Group theory and generalizations (20-XX)
12 Ordinary differential equations (34-XX)
9 Statistical mechanics, structure of matter (82-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Convex and discrete geometry (52-XX)
5 Combinatorics (05-XX)
4 General and overarching topics; collections (00-XX)
4 Computer science (68-XX)
3 History and biography (01-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
3 Numerical analysis (65-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year

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