Law of the Iterated Logarithm for $k/2$-Permanental Processes and the Local Times of Related Markov Processes

Michael B. Marcus, Unaffiliated Scholar, New York, New York, and Jay Rosen, College of Staten Island CUNY, New York.

• Chapters1. Introduction2. Comparing general permanental sequences to symmetric permanental sequences3. Lower bounds for the LIL for $\mathbf {k/2}$ permanental processes4. Proof of Theorems 1.2-1.55. Exact moduli of continuity for Markov local times6. Partial rebirthing of transient Borel right processes7. Rebirthing transient Borel right processes8. Levy processes that satisfy the hypotheses of Theorems 1.2-1.49. Excessive functions that satisfy the hypotheses of Theorems 1.2-1.5