Workshop on mathematical papers at Peyresq, France

June 10 - June 14,  2012

"Ondes Chaotiques. Chaos and Waves"

Presentation

The planning is not done yet, we have only 7 half-days, so we'll try to
organize this in the next month. We'll see how that goes with the persons
speaking. The program is not definitive and this will be more in the
spirit of working group seminars than real seminar talks.

• J. Marklof and A. Strömbergsson, The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates,
  Speaker: Nonnenmacher + ?
  
  
• A. Vasy:  Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates
  Speaker: Guillarmou + ?
  
  
• Sogge-Zelditch  Lower bounds on the Hausdorff measure of nodal sets (arXiv:1009.3573)
  Sogge-Hezari: A natural lower bound for the size of nodal sets (arXiv:1107.3440)
  Colding/Minicozzi: Lower bounds for nodal sets of eigenfunctions (arXiv:1009.4156)
  Speaker:  Guillarmou + Eswarathasan
  
  
• Zelditch :Complex zeros of real ergodic eigenfunction (Invent 2007)
  Speaker:  Rivière + ?
  
  
• Brooks-Lindenstrauss: Joint Quasimodes, Positive Entropy, and Quantum Unique Ergodicity (arXiv:1112.5311)
   Graph Eigenfunctions and Quantum Unique Ergodicity (arXiv:1006.3583)
  Speaker: Nonnenmacher + Lemasson
  
  
• Flaminio-Forni :Invariant distributions and time averages for horocycle flows. Duke Math. J. 119 (2003)
  Speaker: Riviere + ( Guillarmou ? Naud ? Faure ?)
  
  
• Sodin-Nazarov: Random Complex Zeroes and Random Nodal Lines  arXiv:1003.4237
  Speaker:  Nonnenmacher
  
  
• Burq-Lebeau : Injections de Sobolev probabilistes et applications arXiv:1111.7310
  Speaker: Macia + Jakobson
  



• Donnelly-Fefferman : Nodal sets of eigenfunctions on Riemannian manifolds. Invent. Math. 93 (1988), no. 1, 161–183.
  Speaker: C. Laurent + M. Leautaud
  
  
• Toth- Zelditch: quantum ergodic restriction theorems (arXiv:1104.4531).
  Dyatlov-Zworski  Quantum ergodicity for restrictions to hypersurfaces
  Speaker:  Eswarathasan + ??
  
  
• Théorie de Patterson-Sullivan/Bunke-Olbrich on invariant distributions supported on limit sets.Speaker: Naud ? , Guillarmou ? , Faure ?
  
  
• (i) Semiclassics of non-linear Schroedinger or Hartree equations, say along the lines of the work of Remi Carles and collaborators,
  (ii) derivation of non-liner Schroedinger and Hartree from many particle theories, something from the recent work by
  Rodnianski, Schlein, Erdos, Pickl etc. (e.g. http://arxiv.org/abs/0711.3087)
  Speaker: Schubert+?
  
  
• Jean Bourgain and Zeev Rudnick On the nodal sets of toral eigenfunctions ,
  Speaker: Uebershar
  

Participants

• Arnoldi
• Eswarathasan
• Faure
• Guillarmou
• Jakobson
• Laurent
• Leautaud
• Lemasson
• Macia
• Naud
• Nonnenmacher
• Rivière
• Schenck
• Schubert
• Strohmaier
  
• Uebershär
• Vogel
• Weich
  
  

Practical information

Arrival: Sunday June, 10th, 2012:

• A coache special for the meeting will wait for us at Airport of Nice, Terminal 2,  Arrivals, ground floor, at 4PM or 4.30PM.   The organizer present there, waiting for you, will be Stephane Nonenmacher or Colin Guillarmou. (we will arrive at Peyresq at maybe 7pm)
• For people who arrive at the train station, take a cab or  bus n° 99 at the train station towards the airport before 15h00 pm. (There is a bus n°  99 every 30mn, and it takes 20mn to get to the airport).
• For people arriving on monday, take the "train des pignes" from Nice to Annot: the scenic train des pignes connects Nice with Annot in about 2 hours.

Departure Thursday 14th, 2012

• a bus will start from Peyresq at 12h or 2PM  and deserve Airport of Nice, Terminal 2,  ground floor,  before 4PM , friday  june 14th. It will deserve the train station at 4h30 pm (or take bus 99). (For those people, there will be a lunch bag).
  

Other possibilities:

Train des pignes:

• The conference room hosts a Wifi spot, and a few computers and printers. A videoprojector and a blackboard will be available.
• Due to the altitude, nights may be a bit cold, please bring a sweater.

Enjoy the place

• The village is pedestrian-only, and enjoys beautiful natural surroundings.  Here is a precise map (you can zoom with the mouse). One can hike, bike around, mountain-bike (here is a map with tracks) or visit nearby caves (bring a head-light).
• Mountain climbing is a local speciality of the nearby village of Annot.
• A piano is available in the village. Musicians are encouraged to bring their instrument and music scores.