Table of Contents

Preface to the Classics edition; Preface; Corrections and comments; 1. Random fields and excursion sets; 2. Homogeneous fields and their spectra; 3. Sample function regularity; 4. Geometry and excursion characteristics; 5. Some expectations; 6. Local maxima and high-level excursions; 7. Some non-Gaussian fields; 8. Sample function erraticism and Hausdorff dimension; Appendix. The Markov property for Gaussian fields; References; Author index; Subject index.

Promotional Information

An important exposition of the geometric properties of sets generated by random fields.

About the Author

Robert Adler holds the Louis and Samuel Seiden Academic Chair at the Technion - Israel Institute of Technology in Haifa where he has a joint appointment between the Faculty of Industrial Engineering and Management and the Faculty of Electrical Engineering. He holds degrees from Sydney University (BSc), the Australian National University (MSc) and the University of New South Wales (PhD).