Workshop II: Random Curves, Surfaces, and Transport

Part of the Long Program Random Shapes
April 16 - 20, 2007


Random curves, random surfaces and random trees exist in a variety of situations. Their structure play a dominant role in many natural phenomena and industrial applications. Examples arise in diverse areas in physics but also in respiration and irrigation problems, traffic flow and catalytic activity. This workshop will bring together mathematicians, biologists and physicists to discuss the following topics:

  • Growth of random curves and surfaces.
  • Folding, shrinking, wrinkling, and buckling of surfaces and membranes.
  • Biological membranes.
  • Fluid-fluid interfaces.
  • Complex nanostructures.
  • Theoretical and real optimal transport.
  • Search trees.
  • Properties of random trees.
  • Traffic models.
  • Transport on or towards random structures, diffusion, vibrations, theory and simulations.
  • Relation with the harmonic measure of complex structures.
  • Confined brownian bridges.

Organizing Committee

Eli Ben-Naim (Los Alamos National Laboratory)
Hans Herrmann (Eidgenössische TH Zürich-Hönggerberg)
Richard Kenyon (University of British Columbia)
Bernard Sapoval, Chair (École Polytechnique, Directeur de Recherches)
Katepalli Sreenivasan (Abdus Salam International Centre for Theoretical Physics)