School on probabilistic aspects of hyperbolic dynamical systems
Description
The school aims to familiarize young researchers with some of the most recent advances in the theory of ergodic and statistical properties of hyperbolic dynamical systems. Special emphasis will be put on the potential of the combination of various geometric, probabilistic and spectral methods, the description of systems with multiple time scales and further time-dependent phenomena.
SCHEDULE
Monday (August 12):
10:00-10:50 registration
11:00-12:30 Liverani 1
15:00-16:30 Demers 1
17:00 wine and cheese reception
Tuesday (August 13):
9:00-10:30 Liverani 2
10:30-11:00 coffee break
11:00-12:30 Demers 2
15:00-16:30 Dolgopyat 1
16:30-17:00 coffee break
Wednesday (August 14):
9:00-10:30 Liverani 3
10:30-11:00 coffee break
11:00-12:30 Demers 3
15:00-16:30 Froyland 1
16:30-17:00 coffee break
Thursday (August 15):
9:00-10:30 Dolgopyat 2
10:30-11:00 coffee break
11:00-12:30 Froyland 2
Friday (August 16):
9:00-10:30 Dolgopyat 3
10:30-11:00 coffee break
11:00-12:30 Froyland 3
PROGRAM
Mark Demers: Entropy and topological pressure for Sinai billiards
Lecture 1: Complexity bounds and growth lemmas
Lecture 2: Banach spaces for billiards
Lecture 3: MME for finite horizon Sinai billiard
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Dmitry Dolgopyat: Limit theorems for non-stationary dynamical systems
Lecture 1: Sequential Ruelle-Perron-Frobenius Theorem
Lecture 2: Martingale coboundary decomposition
Lecture 3: Local limit theorem
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Gary Froyland: Finite-time coherent dynamics and applications
Lecture 1: Diffusive transfer operators and finite-time mixing
Lecture 2: Dynamic isoperimetry, the dynamic Laplacian, and finite-time coherent sets
Lecture 3: An inflated dynamic Laplacian and the birth/death of coherent dynamics
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Carlangelo Liverani: Projective cones and applications to dispersing billiards
Lecture 1: Introduction to hyperbolic billiards (hyperbolicity, collision map, foliations, ergodicity)
Lecture 2: Banach spaces, cones and statistical properties for simple systems
Lecture 3: Cones for Billiards and applications
REGISTRATION
Link to the registration page:
https://invite.ventla.io/erdos-center/schoolonprobabilisticaspectsofhyperbolicdynamicalsystems
Registration is open until 3 August 2024. After registration, we will notify you within two weeks whether your application has been accepted.
The sooner you register, the better. Please note that applications for financial support for accommodation are closed much earlier - see below. The school takes place during the top touristic season in Budapest, so accommodation prices can be expected to increase dramatically with time.
ACCOMMODATION
Limited financial support for accommodation is available for students and postdocs. Accommodation is provided in 2-bed rooms. Applications should be submitted as soon as possible but not later than March 31, 2024 (DEADLINE EXTENDED!). Applications should be sent by email to hdserdos@renyi.hu including CV and list of publications. Applicants should also arrange for a short letter of recommendation to be sent to the same email address by a faculty member, preferably the advisor/mentor. Please note that those who are supported are expected to attend the whole event. Accommodation is normally supported from Sunday to Saturday at most.
If you don't need financial support, but you would like our administration to help you with booking (at possibly discounted prices), please write to Mrs. Ildikó Bogáti: bogati@renyi.hu
LOCAL EXPENSES
Apart from the above support in accommodation, we cannot cover local expenses.
IMPORTANT INFORMATION:
Venue: Great Lecture Hall, Rényi Institute
https://maps.app.goo.gl/RxdVNyhTAYXbzS2V8
The following link gives practical information (e.g. local traveling):
https://erdoscenter.renyi.hu/practicalities
TENTATIVE SCHEDULE:
Monday (August 12):
11:00-12:30 Liverani 1
15:00-16:30 Demers 1
Tuesday (August 13):
9:00-10:30 Liverani 2
11:00-12:30 Demers 2
15:00-16:30 Dolgopyat 1
Wednesday (August 14):
9:00-10:30 Liverani 3
11:00-12:30 Demers 3
15:00-16:30 Froyland 1
Thursday (August 15):
9:00-10:30 Dolgopyat 2
11:00-12:30 Froyland 2
Friday (August 16):
9:00-10:30 Dolgopyat 3
11:00-12:30 Froyland 3