This book presents papers that originally appeared in the Japanese journal Sugaku. The papers fall into the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets and the global structure of analytic functions.

Readership

Research mathematicians.

Table of Contents

• H. Matano -- Nonlinear partial differential equations and infinite dimensional dynamical systems
• Y. Okabe -- Langevin equations and causal analysis
• T. Murai -- Analytic capacity (a theory of the Szegö kernel function)
• J. Kigami -- Laplacians on self-similar sets--analysis of fractals
• S. Mase, Y. Ogata, and M. Tanemura -- Statistical analysis of mapped point patterns--present condition of theory and application
• S. Ozawa -- Spectra in random media
• H. Matsumoto -- The asymptotic distributions of eigenvalues for the Schrödinger operators with magnetic fields
• E. Isogai -- Recursive estimation of nonparametric probability density functions