Probability, Geometry and Integrable Systems

Table of Contents

1. Direct and inverse problems for systems of differential equations Damir Arov and Harry Dym
2. Turbulence of a unidirectional flow Bjorn Birnir
3. Riemann–Hilbert problem in the inverse scattering for the Camassa–Holm equation on the line Anne Boutet de Monvel and Dimtry Shepelsky
4. The Riccati map in random Schrodinger and matrix theory Santiago Cambronero, Jose Ramirez and Brian Rider
5. SLE6 and CLE6 from critical percolation Federico Camia and Charles M. Newman
6. Global optimization, the gaussian ensemble and universal ensemble equivalence Marius Costeniuc, Richard S. Ellis, Hugo Touchette and Bruce Turkington
7. Stochastic evolution of inviscid Burger fluid Paul Malliavin and Ana Bela Cruzeiro
8. A quick derivation of the loop equations for random matrices N. M. Ercolani and K. D. T.-R. McLaughlin
9. Singular solutions for geodesic flows of Vlasov moments J. Gibbons, D. D. Holm and C. Tronci
10. Reality problems in soliton theory Petr G. Grinevich and Sergei P. Novikov
11. Random walks and orthogonal polynomials
some challenges F. Alberto Grunbaum
12. Integration of pair flows of the Camassa–Holm hierarchy Enrique Loubet
13. Landen survey Dante V. Manna and Victor H. Moll
13. Lines on abelian varieties Emma Previato
14. Integrable models of waves in shallow water Harvey Segur
15. Nonintersecting brownian motions, integrable systems and orthogonal polynomials Pierre Van Moerbeke
16. Homogenization of random Hamilton–Jacobi–Bellman equations S. R. S. Varadhan.

Look Inside

• Table of Contents (67 KB)
• Front Matter (504 KB)
• Copyright Information Page (119 KB)
• Marketing Excerpt (228 KB)