CANPDE - Dynamics in infinite-dimensions: ergodic theory and PDEs
May 21, 2012 - May 25, 2012
ICMS, 15 South College Street Edinburgh
Organisers
Name | Institution |
---|---|
Beck, Margaret | Heriot-Watt University |
Melbourne, Ian | University of Surrey |
Ott, William | University of Houston |
This meeting will focus on the analysis of PDEs using techniques motivated by phenomena that occur in finite dimensions. In particular, the goal will be to develop the ergodic theory of infinite- dimensional dynamical systems. There are many examples, such as invariant manifolds and stability analysis, in which the rigorous analysis of the phenomenon in finite dimensions lead to the understanding of it also in infinite dimensions. One area in which this connection has not been extensively explored is ergodic theory, which in finite dimensions is reasonably mature. The aim of this workshop is to bring this accumulated knowledge to bear on the study of certain PDEs by fostering new collaborations between researchers working in these areas.
This meeting is funded by the CANPDE project http://www.maxwell.ac.uk/PDEs
Confirmed speakers
Alexandre Boritchev (Ecole Polytechnique)
Alexander Bufetov (Steklov Mathematical Institute & Rice University)
Thierry Gallay (Universite de Grenoble I)
Nathan Glatt-Holtz (Indiana University)
Georg Gottwald (University of Sydney)
Martin Hairer (University of Warwick)
Carlangelo Liverani (Universita di Roma)
Kening Lu (Brigham Young University)
Karsten Matthies (University of Bath)
Dmitry Turaev (Imperial College London)
C. Eugene Wayne (Boston University)
Hendrik Weber (University of Warwick)
Sergey Zelik (University of Surrey)
Arrangements
Participation
Speakers have been sent invitations. If you are interested in attending the workshop you are welcome to submit your applications through the public application form (link at top right of screen). Places are limited and the organisers may have to prioritise places.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Venue
The workshop will be held at 15 South College Street, Edinburgh. You may also find this map useful for the workshop. All lectures will be held in the Newhaven Lecture Theatre. To view this room and a list of the visual equipment available click here. In addition, two blackboards have recently been installed. The projector and one board may be used simultaneously.
Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network. Alternatively, we have EduRoam for those who are already registered for this service at their home university. For those without laptops, there will also be a couple of computers available for you to check your emails.
Travel
Information about travel to the UK and Edinburgh is available here.
Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (such as volcanic ash disruptions) that may occur on your trip.
A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 3.50 single or 6.00 GBP return - the Airlink 100. This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above).
Lothian buses charge £1.40 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.
If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second railway station is called Haymarket and is at the West End of the city centre.
Programme
Preliminary programme published Friday 4 May 2012. Last update 17 May.
Monday 21 May
09.30 - 11.00 | Registration and coffee |
11.00 - 12.00 | Sergey Zelik (University of Surrey) |
12.00 - 14.00 | Lunch served in the chapterhouse, level 1 |
14.00 - 15.00 | Martin Hairer (University of Warwick) |
15.00 - 15.45 | Coffee and tea (served in the Chapterhouse) |
15.45 - 16.45 | Alexandre Boritchev (Ecole Polytechnique) |
16.45 - 18.00 | Wine reception |
Tuesday 22 May
09.30 - 10.30 | Kening Lu (Brigham Young University) |
10.30 - 11.00 | Coffee and tea (served in the Chapterhouse) |
11.00 - 12.00 | Martin Hairer (University of Warwick) |
12.00 - 14.00 | Lunch served in the Chapterhouse |
14.00 - 15.00 | Martin Hairer (University of Warwick) |
15.00 - 15.45 | Coffee and tea (served in the Chapterhouse) |
15.45 - 16.45 | Alexander Bufetov (Steklov Mathematical Institute & Rice University) |
Wednesday 23 May
09.30 - 10.30 | Georg Gottwald (University of Sydney) |
10.30 - 11.00 | Coffee and tea (served in the Chapterhouse) |
11.00 - 12.00 | Martin Hairer (University of Warwick) |
12.00 - 13.00 | Lunch served in the Chapterhouse |
Thursday 24 May
09.30 - 10.30 | Eugene Wayne (Boston University) |
10.30 - 11.00 | Coffee and tea (served in the Chapterhouse) |
11.00 - 12.00 | Dimitry Turaev (Imperial College London) |
12.00 - 14.00 | Lunch served in the Chapterhouse |
14.00 - 15.00 | Nathan Glatt-Holtz (University of Indiana) |
15.00 - 15.45 | Coffee and tea (served in the Chapterhouse) |
15.45 - 16.45 | Thierry Gallay (Universite de Grenoble I) |
19.00 | Workshop dinner at The Magnum Restaurant |
Friday 25 May
09.30 - 10.30 | Karsten Matthies (University of Bath) |
10.30 - 11.00 | Coffee and tea (served in the Chapterhouse) |
11.00 - 12.00 | Hendrik Weber (University of Warwick) |
Presentations:
Presentation Details | |
---|---|
Boritchev, Alexandre | |
1D Burgers Turbulence as a Model Case for the Kolmogorov Theory | |
View Abstract | |
Bufetov, Alexander | |
Ergodic decomposition for actions of infinite-dimensional groups | |
View Abstract | |
Gallay, Thierry | |
Quantitative recurrence estimates for extended dissipative systems | |
View Abstract | |
Glatt-Holtz, Nathan | |
Invariant measures for dissipative dynamical systems: abstract results and applications | |
View Abstract | |
Gottwald, Georg | |
Diffusive behaviours in spatially extended systems with symmetry | |
View Abstract | |
Hairer, Martin | |
Ergodic theory for SPDEs | |
View Abstract | |
Lu, Kening | |
Lyapunov exponents and chaotic behavior for random dynamical systems in a Banach space | |
View Abstract | |
Matthies, Karsten | |
A Semigroup Approach to the Justification of Kinetic PDE | |
View Abstract | |
Turaev, Dmitry | |
Infinite-dimensional hyperbolic attractor in a driven Swift-Hohenberg equation | |
View Abstract | |
Wayne, C. Eugene | |
Metastability in the Navier-Stokes Equations | |
View Abstract | |
Weber, Hendrik | |
Approximations to rough Burgers like equations | |
View Abstract | |
Zelik, Sergey | |
Infinite-dimensionality in the "finite-dimensional" dissipative dynamics | |
View Abstract |
Participants
Name | Institution |
---|---|
Beck, Margaret | Heriot-Watt University |
Boritchev, Alexandre | École Polytechnique |
Bufetov, Alexander | Steklov Mathematical Institute & Rice University |
Daon, Yair | Weizmann Institute of Science |
Gallay, Thierry | Université de Grenoble I |
Giles, Will | Imperial College London |
Glatt-Holtz, Nathan | University of Indiana |
Gottwald, Georg | University of Sydney |
Hairer, Martin | University of Warwick |
Lu, Kening | Brigham Young University |
Matthies, Karsten | University of Bath |
Melbourne, Ian | University of Surrey |
Mobasheri, Raouf | University of Sussex |
Ott, William | University of Houston |
Rohani, Saeid | University of Sussex |
Savostianov, Anton | University of Surrey |
Todd, Mike | University of St Andrews |
Turaev, Dmitry | Imperial College London |
Wayne, C. Eugene | Boston University |
Weber, Hendrik | University of Warwick |
Zelik, Sergey | University of Surrey |
Zhlobich, Pavel | University of Edinburgh |