Mathematical Physics, Analysis and Geometry - Volume 4

On the Law of Multiplication of Random Matrices......Page 1
Smoothing Properties of the Heat Semigroups Associated to Hamiltonians Describing Point Interactions in One and Two Dimensions......Page 37
On the Tidal Motion Around the Earth Complicated by the Circular Geometry of the Ocean's Shape Without Coriolis Forces......Page 50
From the Solution of the Tsarev System to the Solution of the Whitham Equations......Page 63
A General Framework for Localization of Classical Waves: I. Inhomogeneous Media and Defect Eigenmodes......Page 95
Toda Equations, bi-Hamiltonian Systems, and Compatible Lie Algebroids......Page 129
Ergodicity for the Randomly Forced 2D Navier−Stokes Equations......Page 145
On the Modified Korteweg−De Vries Equation......Page 194
Inverse Spectral Results for AKNS Systems with Partial Information on the Potentials......Page 225
Inverse Problem and Monodromy Data for Three-Dimensional Frobenius Manifolds......Page 241
On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painlevé VI Equation......Page 288
Spectrum Localization of Infinite Matrices......Page 373
Contents of Volume 4......Page 389