Probability, Geometry and Integrable Systems
For Henry McKean's Seventy-Fifth Birthday
Edited by Mark Pinsky and Björn Birnir
Contents
Front matter (front page, copyright page)
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Table of Contents
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Preface, ix-xiv
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A tribute to Henry McKean by the Editors, xv-xxiii
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Direct and inverse problems for systems of differential equations, by Damir Arov and Harry Dym, 1-28
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Turbulence of a unidirectional flow, by Björn Birnir, 29-52
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Riemann–Hilbert problem in the inverse scattering for the Camassa–Holm equation on the line,
by Anne Boutet de Monvel and Dmitry Shepelsky, 53-75
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The Riccati map in random Schröodinger and matrix theory,
by Santiago Cambronero, José Ramírez and Brian Rider, 77-101
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SLE6 and CLE6 from critical percolation,
by Federico Camia and Charles M. Newman, 103-130
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Global optimization, the Gaussian ensemble and universal ensemble equivalence,
by Marius Costeniuc, Richard S. Ellis, Hugo Touchette and Bruce Turkington, 131-165
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Stochastic evolution of inviscid Burger fluid,
by Ana Bela Cruzeiro and Paul Malliavin, 167-183
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A quick derivation of the loop equations for random matrices,
by N. M. Ercolani and K. D. T-R McLaughlin, 185-198
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Singular solutions for geodesic flows of Vlasov moments,
by J. Gibbons, D. D. Holm and C. Tronci, 199-220
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Reality problems in soliton theory, by Petr G. Grinevich and Sergei P. Novikov, 221-239
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Random walks and orthogonal polynomials; some challenges, by F. Alberto Grüunbaum, 241-260
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Integration of pair flows of the Camassa–Holm hierarchy, by Enrique Loubet, 261-285
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Landen survey, by Dante V. Manna and Victor H. Moll, 287-319
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Lines on abelian varieties, by Emma Previato, 321-344
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Integrable models of waves in shallow water, by Harvey Segur, 345-371
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Rip current animation
Animation of KP solutions
Nonintersecting Brownian motions, integrable systems and orthogonal polynomials,
by Pierre van Moerbeke, 373-396
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Homogenization of random Hamilton–Jacobi–Bellman equations, by S. R. Srinivasa Varadhan, 397-403
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