Local Times for Vector Functions: Energy Integrals and Local Growth Rates.
Abstract
By and large, the study of local times has been confined to probabilistic settings, either as in Markov processes where the potential theoretic and stochastic analysis are fused, or where real variable results may be separately developed, but with an eye toward applications, especially to sample function analysis. Here non-random functions are exclusively dealt with. More specifically, it is intended to further develop the observation of S. M. Berman that, loosely, the more regular the local time, the more irregular the function, by amplifying several earlier results of ours and J. Horowitz, such as: if a function has a local time, any approximate local modulus grows at least linearly, and grows faster than linearly if the local time is continuous in its time parameter.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1976
- Accession Number
- ADA033076
Entities
People
- Donald Geman
Organizations
- University of North Carolina at Chapel Hill