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Thursday June 9
11 - 12 noon
Fields Institute, Room 210
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Jacopo De Simoi
An application of standard pair techniques: bouncing ball
systems in weak potentials
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Thursday June 9
2 - 3 pm
Fields Institute, 3rd Floor Stewart Library |
Peter Nandori
Central limit theorem for time-dependent dynamical systems |
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| PAST SEMINARS |
Tuesday April 26
2-3 pm
Fields Institute, 3rd Floor Stewart Library |
Dimitry Turaev
Arnold difusion in a priori chaotic systems
Consider an analytic Hamiltonian system which has a chaoric
behaviour (a horseshoe) in every energy level from a certain
interval [a,b]. We show that a generic real-analytic time-periodic
small perturbation of the Hamiltonian creates orbits for which
the energy grows from a to b. This is a joint work with Gelfreich.
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Thursday April 21
3:30 - 4:30 pm
Fields Institute, Room 210 |
Vaughn Climenhaga
Multifractal analysis and thermodynamics
Within a topological dynamical system, we study sets of trajectories
characterised by their asymptotic behaviour. Such sets form
a multifractal decomposition and are typically studied using
either thermodynamic techniques (relying on the existence of
continuously varying equilibrium states for certain potential
functions) or saturation techniques (relying on some version
of the specification property).
In the literature, saturation has been successfully used
for a more general class of decompositions than thermodynamics.
Each approach gives certain results that the other does not.
I will describe the results obtained using each approach and
present a new application of the thermodynamic approach, based
on an idea of Hofbauer, that extends it to the same generality
as the saturation approach.
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Friday April 29
2-4 pm
Fields Institute, Room 210
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Yakov Pesin
Thermodynamics associates to inducing schemes
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Wednesday May 3
11 am
Fields Institute, Rm. 210 |
Tere M-Seara
Using two scattering maps to increase the angular momentum
in the planar restricted 3-body problemD
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Thursday May 5
3:30 - 5:30 pm
Fields Institute, 3rd Floor Stewart Library |
Yakov Pesin
Essential coexistence of hyperbolic and completely non-hyperbolic
behavior
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Thursday May 12
11 am - 12 noon
Fields Institute, Room 210 |
Carlangelo Liverani
Exponential decay of correlation for piecewise cone hyperbolic
contact flows
I will discuss some joint work with V.Baladi aiming at proving
exponential decay of correlations for billiards flows. I will
explain what we can achieve and what remains to be done. |
Tuesday May 17
11-12 noon
Fields Institute, Room 210 |
Ke Zhang
The classical KAM theorem
I will present a sketch of the proof of the classical Kolmogorov-Arnold-Moser
theorem. This is intended as an introduction to the next talk,
where Sasa will talk about more modern results in this direction.
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Tuesday May 24
11-12 noon
Fields Institute, Room 210
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Sasa Kocic
Renormalization of vector fields and construction of KAM
tori
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Tuesday May 31
11 - 12 noon
Fields Institute, 3rd Floor Stewart Library |
Amadeu Delshams
A geometric mechanism of diffusion: Rigorous verification
in a priori unstable Hamiltonian systems
Abstract:
We consider a representative a priori unstable Hamiltonian
system with 2+1/2 degrees of freedom, to which we apply the
geometric mechanism for diffusion, and provide explicit, concrete
and easily verifiable conditions for the existence of diffusing
orbits. The simplification of the hypotheses allows us to
perform explicitly the computations along the proof, which
contribute to present in an easily understandable way the
geometric mechanism of diffusion. In particular, we fully
describe the construction of the scattering map and the combination
of two types of dynamics on a normally hyperbolic invariant
manifold.
Joint work with Gemma Huguet (Center for Neural Science).
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Thursday June 2
10 - 11 am
Fields Institute, Room 210 |
Sasa Kocic
Renormalization of vector fields and construction of KAM
tori (Part II) |
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