Entrance hall of the ICMS

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)
Infinite-dimensionality in the "finite-dimensional" dissipative dynamics

12.00 - 14.00

Lunch served in the chapterhouse, level 1

14.00 - 15.00

Martin Hairer (University of Warwick)
Mini lecture series 1(4): Ergodic theory for SPDEs

15.00 - 15.45

Coffee and tea (served in the Chapterhouse)

15.45 - 16.45

Alexandre Boritchev (Ecole Polytechnique)  
1D Burgers turbulence as a model case for the Kolmogorov theory

 16.45 - 18.00

Wine reception


Tuesday 22 May

09.30 - 10.30

Kening Lu (Brigham Young University)
Lyapunov exponents and chaotic behavior for random dynamical systems in a Banach space

10.30 - 11.00

Coffee and tea (served in the Chapterhouse)

11.00 - 12.00

Martin Hairer  (University of Warwick)
Mini lecture series 2 (4): Ergodic theory for SPDEs

12.00 - 14.00

Lunch served in the Chapterhouse

14.00 - 15.00

Martin Hairer  (University of Warwick)
Mini lecture series 3 (4): Ergodic theory for SPDEs

15.00 - 15.45

Coffee and tea (served in the Chapterhouse)

15.45 - 16.45

Alexander Bufetov (Steklov Mathematical Institute & Rice University)
Ergodic decomposition for actions of infinite-dimensional group

 

Wednesday 23 May

09.30 - 10.30

Georg Gottwald (University of Sydney)
Diffusive behaviours in spatially extended systems with symmetry

10.30 - 11.00

Coffee and tea (served in the Chapterhouse)

11.00 - 12.00

Martin Hairer  (University of Warwick)
Mini lecture series 4 (4): Ergodic theory for SPDEs

 12.00 - 13.00

Lunch served in the Chapterhouse


Thursday 24 May

09.30 - 10.30

Eugene Wayne (Boston University)
Metastability in the Navier-Stokes equations

10.30 - 11.00

Coffee and tea (served in the Chapterhouse)

11.00 - 12.00

Dimitry Turaev (Imperial College London)
Infinite-dimensional hyperbolic attractor in a driven Swift-Hohenberg equation

12.00 - 14.00

Lunch served in the Chapterhouse

14.00 - 15.00

Nathan Glatt-Holtz (University of Indiana)
Invariant measures for dissipative dynamical systems: abstract results and applications

15.00 - 15.45

Coffee and tea (served in the Chapterhouse) 

15.45 - 16.45

Thierry Gallay (Universite de Grenoble I)  
Quantitative recurrence estimates for extended dissipative systems

19.00

Workshop dinner at The Magnum Restaurant

 

Friday 25 May

09.30 - 10.30

Karsten Matthies  (University of Bath)
A semigroup approach to the justification of kinetic PDE

10.30 - 11.00

Coffee and tea (served in the Chapterhouse) 

11.00 - 12.00

Hendrik Weber (University of Warwick)
Approximations to rough Burgers like equations

 

 

Presentations:

Presentation Details
Boritchev, Alexandre
1D Burgers Turbulence as a Model Case for the Kolmogorov Theory
View Abstract Down
Bufetov, Alexander
Ergodic decomposition for actions of infinite-dimensional groups
View Abstract Down
Gallay, Thierry
Quantitative recurrence estimates for extended dissipative systems
View Abstract Down
Glatt-Holtz, Nathan
Invariant measures for dissipative dynamical systems: abstract results and applications
View Abstract Down
Gottwald, Georg
Diffusive behaviours in spatially extended systems with symmetry
View Abstract Down
Hairer, Martin
Ergodic theory for SPDEs
View Abstract Down
Lu, Kening
Lyapunov exponents and chaotic behavior for random dynamical systems in a Banach space
View Abstract Down
Matthies, Karsten
A Semigroup Approach to the Justification of Kinetic PDE
View Abstract Down
Turaev, Dmitry
Infinite-dimensional hyperbolic attractor in a driven Swift-Hohenberg equation
View Abstract Down
Wayne, C. Eugene
Metastability in the Navier-Stokes Equations
View Abstract Down
Weber, Hendrik
Approximations to rough Burgers like equations
View Abstract Down
Zelik, Sergey
Infinite-dimensionality in the "finite-dimensional" dissipative dynamics
View Abstract Down

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