Thursday June 9
11  12 noon
Fields Institute, Room 210

Jacopo De Simoi
An application of standard pair techniques: bouncing ball
systems in weak potentials

Thursday June 9
2  3 pm
Fields Institute, 3rd Floor Stewart Library 
Peter Nandori
Central limit theorem for timedependent dynamical systems 


PAST SEMINARS 
Tuesday April 26
23 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 realanalytic timeperiodic
small perturbation of the Hamiltonian creates orbits for which
the energy grows from a to b. This is a joint work with Gelfreich.

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.

Friday April 29
24 pm
Fields Institute, Room 210

Yakov Pesin
Thermodynamics associates to inducing schemes

Wednesday May 3
11 am
Fields Institute, Rm. 210 
Tere MSeara
Using two scattering maps to increase the angular momentum
in the planar restricted 3body problemD

Thursday May 5
3:30  5:30 pm
Fields Institute, 3rd Floor Stewart Library 
Yakov Pesin
Essential coexistence of hyperbolic and completely nonhyperbolic
behavior

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
1112 noon
Fields Institute, Room 210 
Ke Zhang
The classical KAM theorem
I will present a sketch of the proof of the classical KolmogorovArnoldMoser
theorem. This is intended as an introduction to the next talk,
where Sasa will talk about more modern results in this direction.

Tuesday May 24
1112 noon
Fields Institute, Room 210

Sasa Kocic
Renormalization of vector fields and construction of KAM
tori

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).

Thursday June 2
10  11 am
Fields Institute, Room 210 
Sasa Kocic
Renormalization of vector fields and construction of KAM
tori (Part II) 

