November 27, 2021
January - June 2011 (Winter/Spring)
Thematic Program on Dynamics and Transport in Disordered Systems

June 13-17, 2011
Workshop on Instabilities in Hamiltonian Systems

Co-organized by: Chong-Qing Cheng, Jacques Fejoz, Vadim Kaloshin, Carles Simo

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Workshop Schedule

Monday June 13
9:15 - 9:30 Welcome and Introduction
Fields Deputy Director Matthias Neufang and Workshop Organizers
9:30 - 10:20 Anatoly Neishtadt (Loughborough University/Space Research Institute)
Averaging, passages through resonances, and captures into resonance in dynamics of charged particles
10:30 - 11:00 Jinxin Xue (University of Maryland)
Continuous averaging proof of the Nekhoroshev theorem
11:00 - 11:30 Coffee Break
11:30 - 12:20 Luigi Chierchia (Università "Roma Tre")
Full torsion in the planetary N-body problem
12:20 - 2:30 Lunch Break
2:30 - 3:20 David Sauzin (Observatoire de Paris)
There is only one KAM curve
3:30 - 4:00 Wei Cheng (Nanjing University)
Integrability by means of variational methods
4:00 - 4:30 Coffee Break
4:30 - 5:20 Sergey Bolotin (University of Wisconsin-Madison)
Second species solutions of the 3 body problem
5:30 - 6:30 Reception
Fields Atrium - cash bar
Tuesday June 14
9:30 - 10:20 Viviane Baladi (CNRS/Ecole Normale Supérieure)
Exponential decay of correlations for piecewise hyperbolic contact flows
10:30 - 11:00 Lara El Sabbagh (Paris VI)
Inclination lemmas for normally hyperbolic manifolds with applications to
11:00 - 11:30 Coffee Break
11:30 - 12:20 Marcel Guardia (Fields Institute/ U. of Toronto)
Diffusion along mean motion resonances in the restricted three body problem
12:20 - 2:30 Lunch Break
2:30 - 3:20 Nikolai Chernov (University of Alabama at Birmingham)
Stable regimes for hard disks in a channel with twisting walls
3:30 - 4:00 Luis Benet (Universidad Nacional Autónoma de México)
Escaping orbits shaping narrow planetary rings: A billiard example
4:00 - 4:30 Coffee Break
4:30 - 5:20 P. J. Morrison (University of Texas at Austin)
Transport, Arnold Diffusion, Stability, and Negative Energy Modes
Wednesday June 15
9:30 - 10:20 Amadeu Delshams (Universitat Politècnica de Catalunya)
10:30 - 11:00 Jun Yan (Fudan University)
A New Lax-Oleinik Type Operator in Weak KAM Theory
11:00 - 11:30 Coffee Break
11:30 - 12:20 Hendrik W. Broer (University of Groningen)
Resonance and fractal geometry
12:20 - 2:30 Lunch Break
2:30 - 3:20 Abed Bounemoura (Institut Mathématique de Jussieu)
Stability and instability for near-linear Hamiltonian systems
3:30 - 4:00 Arturo Vieiro (Universitat de Barcelona)
Dynamics in resonant chaotic zones: inner/outer splittings of separatrices
4:00 - 4:30 Coffee Break
4:30 - 5:20 Ke Zhang (University of Toronto)
Arnold diffusion via normally hyperbolic cylinders
Thursday June 16
9:30 - 10:20 John Mather (Princeton University)
Near Double Resonance
10:30 - 11:00 Gerard Gómez (Universitat de Barcelona)
Some Transport Mechanisms in the Solar System
11:00 - 11:30 Coffee Break
11:30 - 12:20 Alfonso Sorrentino (University of Cambridge)
On the existence of invariant smooth Lagrangian graphs: a weak version of
Liouville-Arnol’d theorem
12:20 - 2:30 Lunch Break
2:30 - 3:20 Maria Saprykina (KTH School of Engineering Sciences)
Examples of Hamiltonian systems with Arnold diffusion
3:30 - 4:00 Jacopo De Simoi (University of Roma "Tor Vergata")
Cyclicity one elliptic islands in the standard family
4:00 - 4:30 Coffee Break
4:30 - 5:20 Jean - Pierre Marco (Université Paris 6)
Generic properties of classical systems on T^2 with applications to diffusion
Friday June 17
9:30 - 10:20 Dmitry Dolgopyat (University of Maryland)
Instabilities of area preserving flows on surfaces
10:30 - 11:00 Massimiliano Guzzo (University of Padova)
Numerical investigations of a conjecture by N.N. Nekhoroshev about stability in quasi-integrable systems
11:00 - 11:30 Coffee Break
11:30 - 12:20 Pablo Cincotta (Universidad Nacional de La Plata)
Open problems in Dynamical Astronomy
12:20 - 2:30 Lunch Break
2:30 - 3:20 Florentino Borondo (Universidad Autonoma de Madrid)
Quantum-like Poincare-Birkhoff theorem
3:30 - 4:00 Coffee Break
4:00 - 4:50 Leonid Bunimovich (Georgia Institute of Technology)
Focusing components of chaotic billiards should be absolutely focusing


Confirmed Participants as of June 6, 2011

Full Name University/Affiliation
Alberts, Tom University of Toronto
Andrews, Rob (no affiliation)
Baladi, Viviane CNRS/Ecole Normale Supérieure
Bálint, Péter Budapest University of Technology and Economics
Bell, Jordan University of Toronto
Benet, Luis Universidad Nacional Autónoma de México
Binder, Ilia University of Toronto
Bjerklöv, Kristian KTH School of Engineering Sciences
Bloemendal, Alex University of Toronto
Bolotin, Sergey University of Wisconsin-Madison
Borondo, Florentino Universidad Autonoma de Madrid
Bounemoura, Abed Institut Mathématique de Jussieu
Broer, Hendrik W. University of Groningen
Bunimovich, Leonid Georgia Institute of Technology
Buono, Pietro-Luciano University of Ontario Institute of Technology
Butterley, Oliver University of Roma "Tor Vergata"
Calleja, Renato McGill University
Cheng, Wei Nanjing University
Chernov, Nikolai University of Alabama at Birmingham
Chierchia, Luigi Universit'a "Roma Tre"
Cincotta, Pablo Universidad Nacional de La Plata
Corsi, Livia University of Roma Tre
Curry, Chris The University of Texas at Austin
de la Llave, Rafael University of Texas at Austin
De Simoi, Jacopo University of Roma "Tor Vergata"
Delshams, Amadeu Universitat Politècnica de Catalunya
Dolgopyat, Dmitry University of Maryland
Eliasson, Hakan Université Paris 7
Eslami, Peyman Concordia University
Féjoz, Jacques Institut de Mathématiques de Jussieu
Galante, Joseph University of Maryland
Gentile, Guido Universita di Roma Tre
Giulietti, Paolo University of Roma "Tor Vergata"
Gómez, Gerard Universitat de Barcelona
Grigo, Alexander University of Toronto
Guardia, Marcel Fields Institute/ U. of Toronto
Guzzo, Massimiliano University of Padova
Halevy, Itamar no affiliation
Iturriaga, Renato CIMAT
Kaloshin, Vadim Pennsylvania State University
Khanin, Konstantin University of Toronto
Kifer, Yuri Einstein Institute of Mathematics
Kocic, Sasa University of Toronto
Korman, Jonathan  
Lega, Elena CNRS, Observatoire de la Cote d'Azur
Li, Fangda University of Toronto
Liverani, Carlangelo U. Roma Tor Vergata
Lopes Dias, Joao Universidade Tecnica de Lisboa
Luque Jiménez, Alejandro Universitat Politecnica de Catalunya
Mangang, Khundrakpam Mizoram University
Mansur, Abdalla Queen's University
Marco, Jean-Pierre Université Paris 6
Mather, John Princeton University
Matic, Ivan  
Moreno Flores, Gregorio University of Wisconsin
Morrison, P.J. University of Texas at Austin
Nandori, Peter Budapest University of Technology and Economics (BME)
Neishtadt, Anatoly Loughborough University/Space Research Institute
Némedy Varga, András Budapest University of Technology and Economics
Niu, Shilei University of Waterloo
Offin, Daniel Queens University
Orlandi, Enza University of Roma Tre
Quastel, Jeremy University of Toronto
Remenik, Daniel University of Toronto
Roldan, Pablo Universitat Politecnica de Catalunya
Saprykina, Maria KTH School of Engineering Sciences
Sauzin, David Observatoire de Paris
Selvitella, Alessandro McMaster University
Simó, Carles Universidad de Barcelona
Sire, Yannick 7 Université Aix-Marseille III - Paul Cézanne
Sorrentino, Alfonso University of Cambridge
Su, Xifeng Nanjing University
Szász, Domokos Budapest University of Technology and Economics
Teplinsky, Alexey Institute of Mathematics of Ukrainian National Academy of Sciences
Tiglay, Feride The Fields Institute
Trevino, Rodrigo The University of Maryland
Tsarin, Yuriy Institute of Radio Astronomy of NAS of Ukraine
Valenta, George  
Vieiro, Arturo Universitat de Barcelona
Voltz, Jeremy University of Toronto
Vytnova, Polina University of Warwick
Xue, Jinxin University of Maryland
Yan, Jun Fudan University
Yarmola, Tatiana Fields Institute
Yu, Guowei University of Minnesota
Zhang, Hong-Kun University of Massachusetts
Zhang, Ke University of Toronto
Zheng, Yong University of Maryland



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