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Dipartimento di Matematica e Fisica

Pagine personali

CV e Ricerca

 

Guido Gentile

Qualifica :Professore Associato
email :gentile@mat.uniroma3.it
Area di ricerca:Fisica Matematica, Sistemi Dinamici

Breve Curriculum

1991 Laurea in Fisica
UniversitÓ di Roma "La Sapienza"
1994 Dottorato di ricerca in Fisica
UniversitÓ di Roma "La Sapienza"
1995-96 Post-Doc
IHES

Articoli su rivista

2013 
Bartuccelli, Michele and Gentile, Guido and Wright James A., On a class of Hill s equations having explicit solutions, APPLIED MATHEMATICS LETTERS, in print
2013 
Corsi, Livia and Feola, Roberto and Gentile, Guido, Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions, JOURNAL OF STATISTICAL PHYSICS, num. 150, pp. 1, 156-180 , MR3018881
2013 
Corsi, Livia and Feola, Roberto and Gentile, Guido, Convergent series for quasi-periodically forced strongly dissipative systems, COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, in print
2012 
Gentile, Guido, Construction of quasi-periodic response solutions in forced strongly dissipative systems, FORUM MATHEMATICUM, num. 24, pp. 4, 791-808 , MR2949124
2012 
Gallavotti, G. and Gentile, G. and Giuliani, A., Resonances within chaos, CHAOS, num. 22, pp. 2, 026108, 6 pp
2012 
Bartuccelli, Michele and Deane, Jonathan and Gentile, Guido, Attractiveness of periodic orbits in parametrically forced systems with time-increasing friction, JOURNAL OF MATHEMATICAL PHYSICS, num. 53, pp. 10, 102703, 27 pp. , MR3050588
2012 
Corsi, L., Gentile, G., Oscillator synchronisation for arbitrary quasi-periodic forcing, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 316, pp. 2, 489-529 , MR2993923
2011 
Corsi, Livia and Gentile, Guido and Procesi, Michela, KAM theory in configuration space and cancellations in the Lindstedt series, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 302, pp. 2, 359-402 , MR2770017
2010 
Gentile, Guido, Quasi-periodic motions in dynamical systems. Review of a renormalisation group approach, JOURNAL OF MATHEMATICAL PHYSICS, num. 51, pp. 1, 015207, 34 pp. , MR2605840
2010 
Gentile, Guido, Quasi-periodic motions in strongly dissipative forced systems, ERGODIC THEORY AND DYNAMICAL SYSTEMS, num. 30, pp. 5 , 1457-1469, MR2718902
2010 
Bartuccelli, Michele V. and Deane, Jonathan H.B. and Gentile, Guido and Schilder, Frank, Arnold tongues for a resonant injection-locked frequency divider: analytical and numerical results, NONLINEAR ANALYSIS. REAL WORLD APPLICATIONS. AN INTERNATIONAL MULTIDISCIPLINARY JOURNAL, num. 11, pp. 5, 3344-3362 , MR2683794
2009 
M.V. Bartuccelli, J.H.B. Deane, G. Gentile, Frequency locking in an injection-locked frequency divider equation, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES, num. 465, pp. 2101, 283-306 , MR2461376
2009 
Gentile, Guido and Procesi, Michela, Periodic solutions for a class of nonlinear partial differential equations in higher dimension, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 289, pp. 3, 863-906 , MR2511654
2008 
Bartuccelli, Michele V. and Berretti, Alberto and Deane, Jonathan H. B. and Gentile, Guido and Gourley, Stephen A., Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator, NONLINEAR ANALYSIS. REAL WORLD APPLICATIONS. AN INTERNATIONAL MULTIDISCIPLINARY JOURNAL, num. 9, pp. 5, 1966--1988 , MR2441763
2008 
Bonetto, F. and Gallavotti, G. and Gentile, G., A fluctuation theorem in a random environment, ERGODIC THEORY AND DYNAMICAL SYSTEMS, num. 28, pp. 1, 21--47 , MR2380301
2008 
Gentile, Guido and Procesi, Michela, Periodic solutions for the Schr"odinger equation with nonlocal smoothing nonlinearities in higher dimension, JOURNAL OF DIFFERENTIAL EQUATIONS, num. 245, pp. 11, 3253--3326 , MR2460026
2008 
Corsi, Livia and Gentile, Guido, Melnikov theory to all orders and Puiseux series for subharmonic solutions, JOURNAL OF MATHEMATICAL PHYSICS, num. 49, pp. 11, 112701, 29 , MR2468529
2007 
Costin, O. and Gallavotti, G. and Gentile, G. and Giuliani, A., Borel summability and Lindstedt series, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 269, pp. 1, 175--193 , MR2274467
2007 
Bartuccelli, Michele V. and Deane, Jonathan H. B. and Gentile, Guido, Globally and locally attractive solutions for quasi-periodically forced systems, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, num. 328, pp. 1, 699--714 , MR2285578
2007 
Gentile, Guido, Degenerate lower-dimensional tori under the Bryuno condition, ERGODIC THEORY AND DYNAMICAL SYSTEMS, num. 27, pp. 2, 427--457 , MR2308140
2007 
Gentile, Guido and Bartuccelli, Michele V. and Deane, Jonathan H. B., Bifurcation curves of subharmonic solutions and Melnikov theory under degeneracies, REVIEWS IN MATHEMATICAL PHYSICS. A JOURNAL FOR BOTH REVIEW AND ORIGINAL RESEARCH PAPERS IN THE FIELD OF MATHEMATICAL PHYSICS, num. 19, pp. 3, 307--348 , MR2316536
2007 
Bartuccelli, Michele V. and Deane, Jonathan H. B. and Gentile, Guido, Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES, num. 463, pp. 2085, 2351--2369 , MR2345231
2007 
Bartuccelli, Michele V. and Deane, Jonathan H. B. and Gentile, Guido, Periodic attractors for the varactor equation, DYNAMICAL SYSTEMS, num. 22, pp. 3, 365--377 , MR2354971
2006 
Gentile, Guido and Procesi, Michela, Conservation of resonant periodic solutions for the one-dimensional nonlinear Schroedinger equation, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 262, pp. 3, 533--553
2006 
Gallavotti, G. and Gentile, G. and Giuliani, A., Fractional Lindstedt series, JOURNAL OF MATHEMATICAL PHYSICS, num. 47, pp. 1, 012702, 33
2006 
Gentile, Guido and Bartuccelli, Michele V. and Deane, Jonathan H. B., Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems, JOURNAL OF MATHEMATICAL PHYSICS, num. 47, pp. 7, 072702, 10
2006 
Bartuccelli, M. V. and Deane, J. H. B. and Gentile, G. and Marsh, L., Invariant sets for the varactor equation, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES, num. 462, pp. 2066, 439--457
2006 
Gentile, Guido, Resummation of perturbation series and reducibility for Bryuno skew-product flows, JOURNAL OF STATISTICAL PHYSICS, num. 125, pp. 2, 321--361
2005 
Gentile, Guido and Bartuccelli, Michele V. and Deane, Jonathan H. B., Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms, JOURNAL OF MATHEMATICAL PHYSICS, num. 46, pp. 6, 062704, 20
2005 
Gentile, Guido and Mastropietro, Vieri and Procesi, Michela, Periodic solutions for completely resonant nonlinear wave equations with Dirichlet boundary conditions, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 256, pp. 2, 437--490
2005 
Gentile, Guido and Gallavotti, Giovanni, Degenerate elliptic resonances, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 257, pp. 2, 319--362
2005 
Gentile, Guido and Cortez, Daniel A. and Barata, Joao C. A., Stability for quasi-periodically perturbed Hill's equations, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 260, pp. 2, 403--443
2005 
Gentile, Guido and van Erp, Titus S., Breakdown of Lindstedt expansion for chaotic maps, JOURNAL OF MATHEMATICAL PHYSICS, num. 46, pp. 10, 102702, 20
2004 
Gentile, G. and Mastropietro, V., Convergence of Lindstedt series for the nonlinear wave equation, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, num. 3, pp. 3, 509--514
2004 
Gentile, Guido and Mastropietro, Vieri, Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, vol. NEUVIEME SERIE, num. 83, pp. 8, 1019--1065
2004 
Gentile, Guido, Pure point spectrum for two-level systems in a strong quasi-periodic field, JOURNAL OF STATISTICAL PHYSICS, num. 115, pp. 5-6, 1605--1620
2004 
Bartuccelli, M. V. and Deane, J. H. B. and Gentile, G. and Gourley, S. A., Global attraction to the origin in a parametrically driven nonlinear oscillator, APPLIED MATHEMATICS AND COMPUTATION, num. 153, pp. 1, 1--11
2004 
Berretti, Alberto and Gentile, Guido, Scaling of the critical function for the standard map: some numerical results, NONLINEARITY, num. 17, pp. 2, 649--670
2003 
Gentile, Guido, Quasi-periodic solutions for two-level systems, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 242, pp. 1-2, 221--250
2003 
Bartuccelli, M. V. and Gentile, G., On a class of integrable time-dependent dynamical systems, PHYSICA LETTER A, num. 307, pp. 5-6, 274--280
2003 
Bartuccelli, Michele V. and Gentile, Guido and Georgiou, Kyriakos V., KAM theory, Lindstedt series and the stability of the upside-down pendulum, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, num. 9, pp. 2, 413--426
2002 
Berretti, Alberto and Gentile, Guido, Periodic and quasi-periodic orbits for the standard map, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 231, pp. 1, 135--156
2002 
Gallavotti, G. and Gentile, G., Hyperbolic low-dimensional invariant tori and summations of divergent series, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 227, pp. 3, 421--460
2002 
Bartuccelli, M. V. and Gentile, G. and Georgiou, K. V., On the stability of the upside-down pendulum with damping, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES, num. 458, pp. 2018, 255--269
2002 
Bartuccelli, Michele and Gentile, Guido, Lindstedt series for perturbations of isochronous systems: a review of the general theory, REVIEWS IN MATHEMATICAL PHYSICS. A JOURNAL FOR BOTH REVIEW AND ORIGINAL RESEARCH PAPERS IN THE FIELD OF MATHEMATICAL PHYSICS, num. 14, pp. 2, 121--171
2001 
Berretti, A. and Gentile, G., Renormalization group and field theoretic techniques for the analysis of the Lindstedt series, REGULAR AND CHAOTIC DYNAMICS, num. 6, pp. 4, 389--420
2001 
Berretti, Alberto and Falcolini, Corrado and Gentile, Guido, Shape of analyticity domains of Lindstedt series: the standard map, PHYSICAL REVIEW E, num. 64, pp. 1, part 2, 015101, 4
2001 
Gentile, Guido and Mastropietro, Vieri, Renormalization group for one-dimensional fermions. A review on mathematical results, PHYSICS REPORTS, num. 352, pp. 4-6, 273--437
2001 
Berretti, Alberto and Gentile, Guido, Non-universal behaviour of scaling properties for generalized semistandard and standard maps, NONLINEARITY, num. 14, pp. 5, 1029--1039
2001 
Berretti, Alberto and Gentile, Guido, Bryuno function and the standard map, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 220, pp. 3, 623--656
2000 
Berretti, Alberto and Gentile, Guido, Scaling properties for the radius of convergence of Lindstedt series: generalized standard maps, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, vol. NEUVIEME SERIE, num. 79, pp. 7, 691--713
2000 
Bonetto, F. and Gentile, G. and Mastropietro, V., Electric fields on a surface of constant negative curvature, ERGODIC THEORY AND DYNAMICAL SYSTEMS, num. 20, pp. 3, 681--696
2000 
Gallavotti, G. and Gentile, G. and Mastropietro, V., Hamilton-Jacobi equation, heteroclinic chains and Arnolcprime d diffusion in three time scale systems, NONLINEARITY, num. 13, pp. 2, 323--340
2000 
Gallavotti, G. and Gentile, G. and Mastropietro, V., On homoclinic splitting problems, PHYSICA D. NONLINEAR PHENOMENA, num. 137, pp. 1-2, 202--204
1999 
Gallavotti, G. and Gentile, G. and Mastropietro, V., A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems, JOURNAL OF MATHEMATICAL PHYSICS, num. 40, pp. 12, 6430--6472
1999 
Bonetto, Federico and Gentile, Guido, On a conjecture for the critical behaviour of KAM tori, MATHEMATICAL PHYSICS ELECTRONIC JOURNAL, num. 5, Paper 4, 8 pp. (elec
1999 
Gallavotti, G. and Gentile, G. and Mastropietro, V., Melcprime nikov's approximation dominance. Some examples, REVIEWS IN MATHEMATICAL PHYSICS. A JOURNAL FOR BOTH REVIEW AND ORIGINAL RESEARCH PAPERS IN THE FIELD OF MATHEMATICAL PHYSICS, num. 11, pp. 4, 451--461
1999 
Gallavotti, G. and Gentile, G. and Mastropietro, V., Separatrix splitting for systems with three time scales, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 202, pp. 1, 197--236
1999 
Berretti, A. and Gentile, G., Scaling properties for the radius of convergence of a Lindstedt series: the standard map, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, vol. NEUVIEME SERIE, num. 78, pp. 2, 159--176
1998 
Benfatto, G. and Gentile, G. and Mastropietro, V., Peierls instability for the Holstein model with rational density, JOURNAL OF STATISTICAL PHYSICS, num. 92, pp. 5-6, 1071--1113
1998 
Bonetto, Federico and Gallavotti, Giovanni and Gentile, Guido and Mastropietro, Vieri, Lindstedt series, ultraviolet divergences and Moser's theorem, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. SERIE IV, num. 26, pp. 3, 545--593
1998 
Bonetto, F. and Gallavotti, G. and Gentile, G. and Mastropietro, V., Quasi-linear flows on tori: regularity of their linearization, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 192, pp. 3, 707--736
1998 
Gentile, Guido, Large deviation rule for Anosov flows, FORUM MATHEMATICUM, num. 10, pp. 1, 89--118
1997 
Benfatto, G. and Gentile, G. and Mastropietro, V., Electrons in a lattice with an incommensurate potential, JOURNAL OF STATISTICAL PHYSICS, num. 89, pp. 3-4, 655--708
1996 
Gentile, G. and Mastropietro, V., Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics. A review with some applications, REVIEWS IN MATHEMATICAL PHYSICS. A JOURNAL FOR BOTH REVIEW AND ORIGINAL RESEARCH PAPERS IN THE FIELD OF MATHEMATICAL PHYSICS, num. 8, pp. 3, 393--444
1996 
Gentile, G. and Mastropietro, V., KAM theorem revisited, PHYSICA D. NONLINEAR PHENOMENA, num. 90, pp. 3, 225--234
1995 
Gentile, G. and Mastropietro, V., Tree expansion and multiscale analysis for KAM tori, NONLINEARITY, num. 8, pp. 6, 1159--1178
1995 
Gallavotti, G. and Gentile, G. and Mastropietro, V., Field theory and KAM tori, MATHEMATICAL PHYSICS ELECTRONIC JOURNAL, num. 1, Paper 5, approx. 13
1995 
Gentile, Guido, A proof of existence of whiskered tori with quasi-flat homoclinic intersections in a class of almost integrable Hamiltonian systems, FORUM MATHEMATICUM, num. 7, pp. 6, 709--753
1995 
Gallavotti, Giovanni and Gentile, Guido, Majorant series convergence for twistless KAM tori, ERGODIC THEORY AND DYNAMICAL SYSTEMS, num. 15, pp. 5, 857--869
1995 
Gentile, Guido, Whiskered tori with prefixed frequencies and Lyapunov spectrum, DYNAMICS AND STABILITY OF SYSTEMS, num. 10, pp. 3, 269--308
1993 
Gentile, G. and Scoppola, B., Renormalization group and the ultraviolet problem in the Luttinger model, COMMUNICATIONS IN MATHEMATICAL PHYSICS, num. 154, pp. 1, 135--179

Proceedings

2006 
Gentile, Guido, Brjuno numbers and dynamical systems, Frontiers in number theory, physics, and geometry. I, 585--599, Springer, Berlin
2005 
Gentile, G., Periodic solutions for zero mass nonlinear wave equations, SPT 2004---Symmetry and perturbation theory, 115--123, World Sci. Publ., Hackensack, NJ
2002 
Gentile, Guido, Renormalization group and summation of divergent series for hyperbolic invariant tori, SPT 2002: Symmetry and perturbation theory (Cala Gonone), 82--89, World Sci. Publishing, River Edge, NJ
1999 
Gentile, Guido, Diagrammatic techniques in perturbations theory, and applications, Symmetry and perturbation theory (Rome, 1998), 59--78, World Sci. Publishing, River Edge, NJ
1999 
Gentile, Guido and Mastropietro, Vieri, A possible mechanism for the KAM tori breakdown, Hamiltonian systems with three or more degrees of freedom (S'Agar'o, 1995), vol. 533, num. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 372--376, Kluwer Acad. Publ., Dordrecht

Books

2008 
Gentile, Guido, Diagrammatic methods in classical perturbation theory, booktitle: Encyclopedia of Complexity and System Science, vol. 2, pp.: 1932-1948, Editore: Ed. R.A. Meyers, Springer, Berlin
2006 
Gentile, G., Diagrammatic techniques in perturbation theory, booktitle: Encyclopedia of Mathematical Physics, vol. 2, pp.: 54-60, Editore: Elsevier, Oxford
2006 
Gentile, G., Stability theory and KAM, booktitle: Encyclopedia of Mathematical Physics, vol. 5, pp.: 26-32, Editore: Elsevier, Oxford
2004 
Gallavotti, G. and Bonetto, F. and Gentile, G., Aspects of ergodic, qualitative and statistical theory of motion, serie: Texts and Monographs, pp.: x+435, Editore: Springer-Verlag, Berlin

Conferenze

2013 
Reading, Non-equilibrium statistical mechanics and the theory of extreme events in Earth science ( speaker )
2012 
Roma, Mechanics: classical, statistical and quantum (a conference in honor of the 70th birthday of Giovann ( organizzatore, comitato scientifico )
2011 
Ravello, Conference on KAM and Cauchy theory for PDEs ( speaker )
2010 
Edinburgh, Dissipative PDEs in Bounded and Unbounded Domains and Related Attractors ( speaker )
2008 
Vienna, Workshop on Hyperbolic Dynamical Systems with Singularities ( speaker )
2008 
Leiden (Olanda), KAM Theory and its applications ( speaker )
2007 
Vienna, Applications of the Renormalization group ( speaker, organizzatore, comitato scientifico )
2007 
Pisa, Dynamical Systems and Number Theory ( speaker )
2006 
Sao Paulo, Topics in Mathematical Physics ( speaker )
2006 
Guildford, One day meeting: parametric nonlinear oscillations ( speaker )
2006 
Poitiers, AIMS' Sixth International Conference on Dynamical Systems, Differential Equations and Applications ( speaker )
2005 
Parigi, Recent and future developments in Hamiltonian Systems: theory and applications ( speaker )
2004 
Montreal, Workshop on Hamiltonian Dynamical Systems ( speaker )
2004 
Cala Gonone (Sardegna), Symmetry and Perturbation Theory SPT 2004 ( speaker )
2004 
Acireale (Sicilia), Dynamical Systems: Classical, Quantum and Stochastic ( speaker )
2004 
Leiden (Olanda), Nonlinear Dynamics, Ergodic Theory and Renormalization ( speaker )
2003 
Pisa, Dinamica in Italia ( speaker )
2003 
Les Houches, Frontiers in number theory, physics and geometry ( speaker )
2002 
Londra, Hamiltonian dynamical systems ( speaker )
2002 
Cala Gonone (Sardegna), Symmetry and Perturbation Theory SPT 2002 (SPT IV) ( speaker )
2002 
Roma, Perspectives in Mathematical Physics ( speaker )
2001 
Vienna, Workshop on Non Equilibrium Statistical Mechanics - Chaotic Dynamics and Dynamical Systems ( speaker )
2000 
Edinburgo, Workshop on Dynamical Systems ( speaker )
2000 
Teulada (Sardegna), Dynamical systems: classical, quantum, stochastic ( speaker )
1999 
Cetraro, Theory and Applications of Hamiltonian systems ( speaker )
1999 
Bures sur Yvette, The determination of homoclinic trajectories in Hamiltonian systems and Arnold's diffusion ( speaker )
1999 
Cetraro, Theory and Applications of Hamiltonian systems ( speaker )
1999 
Vienna, Workshop on Non Equilibrium Statistical Mechanics ( speaker )
1998 
Aussois (Francia), Celestial mechanics, separatrix splitting, diffusion ( speaker )
1998 
Cetraro, Dynamical systems and small divisors ( speaker )
1998 
Roma, Symmetry and Perturbation Theory SPT98 ( speaker )
1996 
Maribor (Slovenia), Let's face chaos through nonlinear dynamics, III International Summer School Conference. ( speaker )
1996 
Roma, Workshop on research Program on Non Equilibrium Statistical Mechanics ( speaker )
1996 
Vienna, Workshop on Discrete Geometry and Condensed Matter Physics ( speaker )
1995 
Parigi, I Meeting on the European Network on Stability and Universality in Classical Mechanics ( speaker )

2012 Premio Bruno Finzi Biennio 2010-2011

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