CARLANGELO LIVERANI

Full professor


email: liverani@mat.uniroma2.it
phone:



• Personal Information.
Liverani Carlangelo. ORCID: https://orcid.org/0000-0001-8683-4871 Born 30-06-1956 in Bologna, Italy. Italian.
Url: Personal web site
• Education.
– B.A. in Physics, cum laude, Università di Bologna, 1980 (Advisor: G. Turchetti). – Ph.D. in Mathematics, Rutgers University, 1988 (Advisor: J.L. Lebowitz).
• Current Position.
– Full Professor, University of Rome Tor Vergata (since 2001).
– Visiting Professor, University of Maryland, USA, 2024.
• Previous Positions.
– Associate Prof., University of Rome Tor Vergata (1999-2001).
– Ricercatore, University of Rome Tor Vergata (1988-1999).
– Postdoc, University of New York at Stony Brook, USA (1992).
– Postdoc, University of Arizona, Tucson, Arizona (1989).
– One month visiting positions: Université Paris Dauphine (2018); Université Lille (2017);
Centre Interfacultaire Bernoulli, École Polytenique Fédérale de Lausanne (2013); Uni- versité Paris Dauphine (2010); Ecole Normale Superiore, Paris (2008); Université Paris Dauphine (2008); CIRM, Marseille (2007); Penn State University (2007); Université Paris Dauphine (2006); Université Paris XIII (2006); University of Maryland (2006); Université Paris VII (2004); Courant Institute (2001).
– Longer visiting positions: CARMIN senior position, joint IHP–IHES, Paris (2017), six months. Fields Institute, Toronto (2010), four months. CNRS Researcher, France (2005), three months. IHES, Paris (2001), six months.
• Fellowships and Awards.
– Elected member of the Italian National Acvademy (Accademia dei Lincei) (2021).
– Elected member of the Academia Europaea (2020).
– 2019 International Prize Cataldo Agostinelli ed Angiola Gili Agostinelli for Mechanics or Mathematical Physics assigned by the Italian National Academy.
– PI of Stochastic properties of dynamical systems, PRIN 2022NTKXCX (Italian Project of National Relevance), 2023-2025 (213.721 euro).
– PI of Regular and stochastic behaviour in dynamical systems, PRIN 2017S35EHN (Italian Project of National Relevance), 2019-2021 (527,740 euro).
– Local coordinator Teorie geometriche e analitiche dei sistemi Hamiltoniani in dimensioni finite e infinite, PRIN 2010JJ4KPA_009 (Italian Project of National Relevance), 2013-2016. (80,595 euro)
– PI of Macroscopic Laws and Dynamical Systems (MALADY, ERC AdG 246953), 2010-2015. http://maladyerc.wordpress.com. (1,372,720.00 euro).
– PI of Dynamical Systems and applications, PRIN 2007B3RBEY (Italian Project of National Relevance), 2007-2009, (109,129 euro).
– Co-PI of GDRE Grefi-Mefi (Groupement de Recherche Européen), 2005-2008, (about 150,000 euro).
– PI of Interacting Dynamical Systems, INDAM Grant, 2003, (9000 euro).
• Editorial Board membership.
Memberships in Editorial Boards of International Journals
– Communications in Mathematical Physics (2015–2023; Associate Editor); – Ergodic Theory and Dynamical Systems (2000–2023; Board member);
Memberships in Editorial Boards of National Journals
– Rendiconti di Matematica e delle sue applicazioni (since 2016; Governing Editorial Board member);
– Bollettino Unione Matematica Italiana (since 2013; Editorial Committee member);
Past Memberships in Editorial Boards
– Nonlinearity (2002–2014 Associate Editor. 2015–2019; Co-Editor in Chief); – Journal of Dynamical and Control Systems (2014–2019; Associate Editor); – Journal of Statistical Physics (2013-2018; Board member);
– Discrete and Continuous Dynamical Systems (2003-2015; Associate Editor).

Research products

2108/407884 - 2025 - Mean field coupled dynamical systems: Bifurcations and phase transitions
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ADVANCES IN MATHEMATICS (-SAN DIEGO, USA: ACADEMIC PRESS INC ELSEVIER SCIENCES -Brugge, Belgium [etc.] Academic Press, 1965-) pp. - - issn: 0001-8708 - wos: WOS:001406856900001 (0) - scopus: 2-s2.0-85215426033 (0)

2108/407883 - 2024 - Piecewise contractions
Jain, Sakshi; Liverani, Carlangelo - 01 - Articolo su rivista
paper: ERGODIC THEORY & DYNAMICAL SYSTEMS (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. 1-38 - issn: 0143-3857 - wos: WOS:001344436100001 (0) - scopus: 2-s2.0-85208277531 (0)

2108/328404 - 2023 - Projective cones for sequential dispersing billiards
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 841-923 - issn: 0010-3616 - wos: WOS:000937653700001 (4) - scopus: 2-s2.0-85148631479 (4)

2108/328403 - 2023 - Globally coupled Anosov diffeomorphisms: statistical properties
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 1791-1822 - issn: 0010-3616 - wos: WOS:000937017300003 (3) - scopus: 2-s2.0-85145914316 (3)

2108/289045 - 2022 - Locating Ruelle–Pollicott resonances
Butterley, Oliver James; Liverani, Carlangelo - 01 - Articolo su rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. 513-566 - issn: 0951-7715 - wos: WOS:000728948600001 (4) - scopus: 2-s2.0-85122766603 (4)

2108/312283 - 2022 - Quantitative statistical properties of two-dimensional partially hyperbolic systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ADVANCES IN MATHEMATICS (-SAN DIEGO, USA: ACADEMIC PRESS INC ELSEVIER SCIENCES -Brugge, Belgium [etc.] Academic Press, 1965-) pp. - - issn: 0001-8708 - wos: WOS:000860719600001 (6) - scopus: 2-s2.0-85135928425 (6)

2108/300537 - 2021 - Transfer operators in hyperbolic dynamics. An introduction
Liverani, Carlangelo - 04 - Monografia

2108/290306 - 2021 - Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ERGODIC THEORY & DYNAMICAL SYSTEMS (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. 1-37 - issn: 0143-3857 - wos: WOS:000767023600001 (4) - scopus: 2-s2.0-85107786413 (3)

2108/290259 - 2021 - Mixing rates for symplectic almost Anosov maps
Liverani, Carlangelo - 01 - Articolo su rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. 3709-3731 - issn: 0951-7715 - wos: WOS:000664729200001 (0) - scopus: 2-s2.0-85110507135 (0)

2108/272015 - 2021 - Edgeworth expansions for weakly dependent random variables
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES (Gauthier-Villars:15 rue Gossin, 92543 Montrouge Cedex France:011 33 1 40 926500, Fax: 011 33 1 40 926597) pp. 469-505 - issn: 0246-0203 - wos: WOS:000628812400017 (18) - scopus: 2-s2.0-85104227499 (9)

2108/256340 - 2020 - Deterministic walks in random environment
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALS OF PROBABILITY (Hayward Calif.: Institute of Mathematical Statistics) pp. 2212-2257 - issn: 0091-1798 - wos: WOS:000574509300005 (3) - scopus: 2-s2.0-85098424376 (4)

2108/229230 - 2019 - Parabolic dynamics and anisotropic Banach spaces
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY (Zürich: EMS Publishing House Heidelberg Germany: Springer Verlag Germany) pp. 2793-2858 - issn: 1435-9855 - wos: WOS:000476473900004 (15) - scopus: 2-s2.0-85070530292 (15)

2108/264382 - 2018 - Transport in partially hyperbolic fast-slow systems
Liverani, Carlangelo - 02 - Intervento a convegno
conference: ICM 2018: International Congress of Mathematicians (Rio de Janeiro)
book: Proceedings of the International Congress of Mathematicians 2018 - (978-981-3272-92-7)

2108/199235 - 2018 - Exponential decay of correlations for finite horizon Sinai billiard flows
Liverani, Carlangelo - 01 - Articolo su rivista
paper: INVENTIONES MATHEMATICAE (Heidelberg Germany: Springer Verlag Germany) pp. 39-177 - issn: 0020-9910 - wos: WOS:000419476200002 (45) - scopus: 2-s2.0-85025084411 (49)

2108/210212 - 2018 - Limit theorems for fast–slow partially hyperbolic systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: INVENTIONES MATHEMATICAE (Heidelberg Germany: Springer Verlag Germany) pp. 811-1016 - issn: 0020-9910 - wos: WOS:000441286900001 (17) - scopus: 2-s2.0-85046744476 (17)

2108/173863 - 2017 - Spectral properties of integral operators in bounded, large intervals
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (New York: Elsevier Science Orlando Fla.: Academic Press) pp. 330-350 - issn: 0022-247X - wos: WOS:000394404800019 (1) - scopus: 2-s2.0-85009809556 (1)

2108/173861 - 2017 - Fast–Slow Partially Hyperbolic Systems Versus Freidlin–Wentzell Random Systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF STATISTICAL PHYSICS (Plenum Press:Book Customer Service, 233 Spring Street:New York, NY 10013:(212)620-8471, (212)620-8000, EMAIL: info@plenum.com, INTERNET: http://www.plenum.com, Fax: (212)807-1047) pp. 650-679 - issn: 0022-4715 - wos: WOS:000394366800012 (7) - scopus: 2-s2.0-84988942826 (7)

2108/173857 - 2016 - Mixing for Some Non-Uniformly Hyperbolic Systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALES HENRI POINCARE' (- Cham (ZG): Springer International Publishing AG, 2000- -Basel; Berlin [u.a.]: Birkhäuser, 2000-[?]) pp. 179-226 - issn: 1424-0637 - wos: WOS:000370818100006 (15) - scopus: 2-s2.0-84952988346 (15)

2108/173859 - 2016 - Statistical properties of mostly contracting fast-slow partially hyperbolic systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: INVENTIONES MATHEMATICAE (Heidelberg Germany: Springer Verlag Germany) pp. 147-227 - issn: 0020-9910 - wos: WOS:000385186800005 (14) - scopus: 2-s2.0-84960094301 (15)

2108/173855 - 2015 - Green-Kubo Formula for Weakly Coupled Systems with Noise
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 1377-1412 - issn: 0010-3616 - wos: WOS:000350030500006 (12) - scopus: 2-s2.0-84925511334 (12)

2108/113797 - 2015 - The Martingale approach after Varadhan and Dolpogpyat
Liverani, Carlangelo - 03 - Contributo in libro
book: Hyperbolic Dynamics, Fluctuations and Large Deviations. Proceedings of Symposia in Pure Mathematics, 89, AMS - (978-1-4704-1112-1)

2108/89835 - 2013 - Anosov flows and dynamical zeta functions
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALS OF MATHEMATICS (Princeton, N.J: Princeton University Press) pp. 687-773 - issn: 0003-486X - wos: WOS:000320582400006 (76) - scopus: 2-s2.0-84879261153 (83)

2108/90138 - 2013 - Multidimensional expanding maps with singularities: a pedestrian approach
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ERGODIC THEORY & DYNAMICAL SYSTEMS (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. 168-182 - issn: 0143-3857 - wos: WOS:000313252400008 (24) - scopus: 2-s2.0-84872134201 (23)

2108/90213 - 2013 - ROBUSTLY INVARIANT SETS IN FIBER CONTRACTING BUNDLE FLOWS
Butterley, Oliver James; Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF MODERN DYNAMICS (Springfield, MO : American Institute of Mathematical Sciences, c2007-) pp. 255-267 - issn: 1930-5311 - wos: WOS:000325010900004 (13) - scopus: 2-s2.0-84884366401 (15)

2108/90169 - 2013 - A FOOTNOTE ON EXPANDING MAPS
Liverani, Carlangelo - 01 - Articolo su rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 3741-3751 - issn: 1078-0947 - wos: WOS:000314829100024 (5) - scopus: 2-s2.0-84872927426 (5)

2108/101610 - 2012 - Toward the Fourier law for a weakly interacting anharmonic crystal
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 555-583 - issn: 0894-0347 - wos: WOS:000301610200008 (21) - scopus: 2-s2.0-84856031816 (22)

2108/90233 - 2012 - Exponential Decay of Correlations for Piecewise Cone Hyperbolic Contact Flows
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 689-773 - issn: 0010-3616 - wos: WOS:000308042700005 (33) - scopus: 2-s2.0-84865826238 (33)

2108/101594 - 2011 - Energy transfer in a fast-slow Hamiltonian system
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 201-225 - issn: 0010-3616 - wos: WOS:000296652900008 (31) - scopus: 2-s2.0-80054101648 (32)

2108/104687 - 2010 - Heat equation from microscopic dynamics: a weak coupling approach.
Liverani, Carlangelo - 02 - Intervento a convegno
conference: XVIth International Congress on Mathematical Physics (Prague)

2108/9806 - 2010 - On the work and vision of Dmitry Dolgopyat
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF MODERN DYNAMICS (Springfield, MO : American Institute of Mathematical Sciences, c2007-) pp. 211-225 - issn: 1930-5311 - wos: WOS:000280702000001 (2) - scopus: 2-s2.0-77957055207 (1)

2108/9808 - 2009 - Map Lattices coupled by collisions
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 591-597 - issn: 0010-3616 - wos: WOS:000268870500013 (10) - scopus: 2-s2.0-70349931100 (10)

2108/9823 - 2009 - Quenched CLT for random toral automorphism.
Liverani, Carlangelo - 01 - Articolo su rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 331-348 - issn: 1078-0947 - wos: WOS:000265190500004 (31) - scopus: 2-s2.0-67650735487 (31)

2108/9807 - 2009 - Rare events, escape rates and quasistationarity: some exact formulae.
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF STATISTICAL PHYSICS (Plenum Press:Book Customer Service, 233 Spring Street:New York, NY 10013:(212)620-8471, (212)620-8000, EMAIL: info@plenum.com, INTERNET: http://www.plenum.com, Fax: (212)807-1047) pp. 519-534 - issn: 0022-4715 - wos: WOS:000266166100005 (80) - scopus: 2-s2.0-67349121722 (83)

2108/9831 - 2009 - Non-perturbative approach to random walk in Markovian environment
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ELECTRONIC COMMUNICATIONS IN PROBABILITY (UNIV WASHINGTON, DEPT MATHEMATICS, BOX 354350, SEATTLE, USA, WASHINGTON, 98195-4350) pp. 245-251 - issn: 1083-589X - wos: WOS:000266706900001 (18) - scopus: 2-s2.0-67651218852 (16)

2108/28552 - 2008 - Stability of statistical properties in two-dimensional piecewise hyperbolic maps
Liverani, Carlangelo - 01 - Articolo su rivista
paper: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (American Mathematical Society:PO Box 6248:Providence, RI 02940:(800)321-4267, (401)455-4000, EMAIL: cust-serv@ams.org, gma@math.ams.org, INTERNET: http://www.ams.org, Fax: (401)331-3842) pp. 4777-4814 - issn: 0002-9947 - wos: WOS:000256159200011 (62) - scopus: 2-s2.0-67349260245 (66)

2108/28553 - 2008 - Random walk in Markovian environment
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALS OF PROBABILITY (Hayward Calif.: Institute of Mathematical Statistics) pp. 1676-1710 - issn: 0091-1798 - wos: WOS:000259680000003 (39) - scopus: 2-s2.0-53049092461 (42)

2108/27688 - 2008 - Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF DIFFERENTIAL GEOMETRY (International Press:PO Box 43502:Somerville, MA 02143:(617)623-3016, (617)623-3101, EMAIL: journals@intlpress.com, INTERNET: http://www.intlpress.com, Fax: (617)623-3101) pp. 433-477 - issn: 0022-040X - wos: WOS:000258165500003 (71) - scopus: 2-s2.0-48749091873 (75)

2108/28571 - 2008 - Random Walk in Deterministically Changing Environment
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ALEA (Rio de Janeiro, RJ: Instituto Nacional de Matemática Pura e Aplicada) pp. 89-116 - issn: 1980-0436 - wos: WOS:000208538900005 (5) - scopus: (0)

2108/34527 - 2007 - Random Classical Fidelity
Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF STATISTICAL PHYSICS (Plenum Press:Book Customer Service, 233 Spring Street:New York, NY 10013:(212)620-8471, (212)620-8000, EMAIL: info@plenum.com, INTERNET: http://www.plenum.com, Fax: (212)807-1047) pp. 1079-1091 - issn: 0022-4715 - wos: WOS:000248826600007 (7) - scopus: 2-s2.0-36148940981 (7)

2108/34516 - 2007 - Smooth Anosov flows: correlation spectra and stability
Liverani, Carlangelo; Butterley, Oliver James - 01 - Articolo su rivista
paper: JOURNAL OF MODERN DYNAMICS (Springfield, MO : American Institute of Mathematical Sciences, c2007-) pp. 301-322 - issn: 1930-5311 - wos: WOS:000255218900006 (114) - scopus: 2-s2.0-34548433206 (121)

2108/36534 - 2006 - Zeta functions and Dynamical Systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. 2467-2473 - issn: 0951-7715 - wos: WOS:000241767200011 (13) - scopus: 2-s2.0-33748855242 (14)

2108/101631 - 2006 - Introduction: Ergodic theory and non-uniform dynamical systems [special issue]
Liverani, Carlangelo - 01 - Articolo su rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 1-2 - issn: 1078-0947 - wos: (0) - scopus: (0)

2108/37016 - 2006 - Banach spaces adapted to Anosov systems
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ERGODIC THEORY & DYNAMICAL SYSTEMS (Cambridge University Press / New York:40 West 20th Street:New York, NY 10011:(800)872-7423, (212)924-3900, EMAIL: journals_subscriptions@cup.org, INTERNET: http://www.journals.cambridge.org, Fax: (212)691-3239) pp. 189-217 - issn: 0143-3857 - wos: WOS:000235389600012 (178) - scopus: 2-s2.0-30744463498 (189)

2108/36557 - 2006 - Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 33-50 - issn: 0010-3616 - wos: WOS:000234317600003 (36) - scopus: 2-s2.0-29644445686 (34)

2108/34956 - 2005 - Fredholm determinants, Anosov maps and Ruelle resonances
Liverani, Carlangelo - 01 - Articolo su rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 1203-1215 - issn: 1078-0947 - wos: WOS:000230532200005 (31) - scopus: 2-s2.0-28444481352 (37)

2108/34953 - 2005 - Convergence to equilibrium for intermittent symplectic maps
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 527-556 - issn: 0010-3616 - wos: WOS:000232759900002 (12) - scopus: 2-s2.0-27244437598 (12)

2108/92472 - 2005 - Statistical properties of disordered quantum systems
Fidaleo, Francesco; Liverani, Carlangelo - 03 - Contributo in libro
book: Recent advances in operator theory, operator algebras, and their applications - ()

2108/30873 - 2004 - On Contact Anosov flows
Liverani, Carlangelo - 01 - Articolo su rivista
paper: ANNALS OF MATHEMATICS (Princeton, N.J: Princeton University Press) pp. 1275-1312 - issn: 0003-486X - wos: WOS:000226771800006 (177) - scopus: 2-s2.0-14544287674 (184)

2108/104631 - 2004 - A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps
Liverani, Carlangelo - 03 - Contributo in libro
book: Dynamics of coupled map lattices and of related spatially extended systems - (978-3-540-24289-5; 3-540-24289-9)

2108/30877 - 2004 - Birth of an elliptic island in a chaotic sea
Liverani, Carlangelo - 01 - Articolo su rivista
paper: MPEJ (primi editori: H. Koch;R. de la Llave;C. Radin Luogo pubbl. Austin, Tex. The journal is currently managed by: Angel Jorba and Jaume Timoneda Dept. de Matematica Aplicada i Analisi Universitat de Barcelona Gran Via 585 08007 Barcelona Spain This team is to be considered the "publisher" of the journal. Anyone who has access to the Internet can subscribe to the journal and, of course, submit articles. Subscriptions are free.) pp. - - issn: 1086-6655 - wos: (0) - scopus: (0)

2108/30867 - 2004 - Invariant measures and their properties. A functional analytic point of view
Liverani, Carlangelo - 03 - Contributo in libro
book: Dynamical Systems. Part II: Topological Geometrical and Ergodic Properties of Dynamics - (978- 88‑7642‑295-9)

2108/30870 - 2004 - Coupled map lattices without cluster expansion
Liverani, Carlangelo - 01 - Articolo su rivista
paper: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (Southwest Missouri State University:Department of Mathematics:Springfield, MO 65804:(417)836-5377, EMAIL: shh209f@smsu.edu, INTERNET: http://www.math.smsu.edu, Fax: (417)886-0559) pp. 325-335 - issn: 1078-0947 - wos: WOS:000223883000004 (7) - scopus: 2-s2.0-4944228241 (8)

2108/205964 - 2003 - Ergodic properties of a model related to disordered quantum anharmonic crystals
Fidaleo, Francesco; Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 169-189 - issn: 0010-3616 - wos: (0) - scopus: (0)

2108/350503 - 2001 - Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study
Liverani, Carlangelo - 01 - Articolo su rivista
paper: NONLINEARITY (IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318) pp. 463-490 - issn: 0951-7715 - wos: WOS:000168924100003 (62) - scopus: 2-s2.0-0035346907 (66)

2108/205960 - 1999 - Ergodic properties for a quantum nonlinear dynamics
Fidaleo, Francesco; Liverani, Carlangelo - 01 - Articolo su rivista
paper: JOURNAL OF STATISTICAL PHYSICS (Plenum Press:Book Customer Service, 233 Spring Street:New York, NY 10013:(212)620-8471, (212)620-8000, EMAIL: info@plenum.com, INTERNET: http://www.plenum.com, Fax: (212)807-1047) pp. 957-1009 - issn: 0022-4715 - wos: (0) - scopus: (0)

2108/365343 - 1998 - Conformally symplectic dynamics and symmetry of the Lyapunov spectrum
Liverani, Carlangelo - 01 - Articolo su rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 47-60 - issn: 0010-3616 - wos: WOS:000074179700002 (52) - scopus: 2-s2.0-0032474170 (54)

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