Ideas and Methods in Mathematical Analysis,

These volumes contain a collection of essays by many of the closest co-workers of Raphael Hoegh-Krohn (1938-1988), one of the outstanding mathematical physicists of our age. The contributions vary in style, purpose, and content--some are surveys that summarize and clarify a subject area, others are new and adventurous expeditions into unknown territory. The topics cover most aspects of modern mathematical physics with special emphasis on methods from operator theory and stochastic analysis. Volume 1 contains papers on mathematical analysis (both linear and nonlinear), stochastics, and applications. Volume 2 discusses mathematical problems in quantum and statistical physics.

Preface
Picture of Raphael Hø
egh-Krohn
Bibliography of Raphael Hø
egh-Krohn
1. On the scientific work of Raphael Hø
egh-Krohn
Part I. Stochastic Analysis
2. Some Euclidean integer-valued random fields with Markov properties
3. A Beurling-Deny type structure theorem for Dirichlet forms on general state spaces
4. Log-concavity of radial Schrö
dinger wave functions and convergence of planetesimal diffusions
5. Dirichlet forms, diffusion processes and spectral dimensions for nested fractals
6. Large deviations for weak solutions of stochastic differential equations
7. On a class of probabilistic integrodifferential equations
8. Operator integrals and martingale integrals with general parameter
9. Wick multiplication and Ito-Skorohod stochastic differential equations
10. Multiscale analysis in random dynamics
11. A limiting distribution connected with fractional parts of linear forms
12. Rapport sur les repré
sentations chaotiques
13. Markov properties of solutions of stochastic partial differential equations in a finite volume
14. On stochastic evolution equations with non-homogeneous boundary conditions
15. Grey noise
16. Existence of invariant measures for diffusion process with infinite dimensional state space
Part II. Infinite Dimensional Groups
17. On nonlinear equations associated with Lie algebras of diffeomorphism groups of two-dimensional manifolds
18. Fields of left-invariant standard Brownian motion processes on a smooth bundle of compact-simple Lie groups
19. Unitary highest weight representations of gauge groups
Part III. Operator Algebras
20. Some non-commutative orbifolds
21. Ergodic actions of non-abelian compact groups
22. Positive projections onto Jordan algebras and their enveloping von Neumann algebras
Part IV. Nonlinear Analysis and Applications
23. How many singularities can there be in an energy minimizing map from the ball to the sphere? 24. Front tracking for petroleum reservoirs
25. Quasi-periodic, finite-gap solutions of the modified Korteweg-de Vries equations
26. A new representation of soliton solutions of the Kadomtsev-Petviashvili equation
27. On scalar conservation laws in one dimension.

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Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: In Memory of Raphael HÃ¸egh-Krohn

Summary

Table of Contents

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