Ergodic Properties of Almost Periodic Poisson Processes

8vo (23.5 cm), 24 pp. Original printed wrappers, stapled as issued (wrappers sightly sunned, text generally clean). Preprint No. 71. With the author's inscription in Polish and signature on the title page. A research preprint by Tomasz Rolski of the Wrocław Mathematical Institute, studying the ergodic properties of a non-homogeneous Poisson process driven by an almost periodic intensity function; stationary and Palm versions of the process are constructed, and the main result establishes that as j → ∞ the distribution of the shifted inter-point distance sequence (T_{i+j}, i ∈ ℕ) converges weakly to that of the Palm version (T⁰ᵢ, i ∈ ℕ), with convergence in variation in the periodic case — building on the author's earlier work on stationary and Palm versions of point processes (1981, 1984, 1985) and situating itself within the growing literature on systems directed by point processes with periodic intensity, including work of Harrison-Lemoine, Heyman-Whitt, and Asmussen-Thorisson.