Dynamical Systems Afternoon at ICTP - Wednesday 17 April 2019, starting at 14:00

[ICTP Math Section]

Dynamical Systems Afternoon

Venue: Luigi Stasi seminar room (ICTP Leonardo da Vinci Building)

Wednesday, 17 April 2019 (14:00 - 17:30)
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14:00 - 15:00 Peyman Eslami
Inducing schemes for multi-dimensional expanding maps with discontinuities

I will discuss how to obtain Young towers with exponential tails for 
multi-dimensional piecewise uniformly expanding maps of R^N.

15:00 - 15:30 break

15:30 - 16:30 Oliver Butterley
Parabolic Flows Renormalised by Partially Hyperbolic Maps

We will discuss 3-dimensional parabolic flows which are renormalised by 
circle extensions of Anosov diffeormorphisms (this includes nilflows on 
the Heisenberg nilmanifold). We use the spectral information of the 
transfer operators associated to these partially hyperbolic maps to 
describe the deviation of ergodic averages and solutions of the 
cohomological equation for the parabolic flow.

16:30 - 17:30 Khadim War
Dynamics of the geodesic flows on certain manifolds without conjugate points

We prove the uniqueness of the measure of maximal entropy (MME) for the 
geodesic flows on surfaces without conjugate points. We also prove that 
this unique MME is fully supported, can be obtained from limiting 
distrobution along closed orbits and the flow is mixing with respect to 
it. As a consequence we have that the closed orbits are dense in the 
unit tangent bundle. We also formulate conditions under which these 
results generalise to higher dimension.

Everyone is welcome to attend


-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela