TY - BOOK AU - Pinsky,Mark A. AU - Birnir,Björn AU - McKean,Henry P. TI - Probability, geometry, and integrable systems: for henry McKean's seventy-fifth birthday SN - 9780521895279 (hardback) AV - QA273 .P79536 2008 U1 - 519.2 22 PY - 2008/// CY - Cambridge, New York PB - Cambridge University Press KW - Probabilities KW - Geometry, Differential KW - Hamiltonian systems N1 - Includes bibliographical references; 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 UR - http://www.loc.gov/catdir/enhancements/fy0809/2007052192-b.html UR - http://www.loc.gov/catdir/enhancements/fy0809/2007052192-d.html UR - http://www.loc.gov/catdir/enhancements/fy0809/2007052192-t.html UR - http://repository.fue.edu.eg/xmlui/handle/123456789/2687 ER -