UNIVERSITY
OF WROCŁAW
 
Main Page
Contents
Online First
General Information
Instructions for authors


VOLUMES
43.2 43.1 42.2 42.1 41.2 41.1 40.2
40.1 39.2 39.1 38.2 38.1 37.2 37.1
36.2 36.1 35.2 35.1 34.2 34.1 33.2
33.1 32.2 32.1 31.2 31.1 30.2 30.1
29.2 29.1 28.2 28.1 27.2 27.1 26.2
26.1 25.2 25.1 24.2 24.1 23.2 23.1
22.2 22.1 21.2 21.1 20.2 20.1 19.2
19.1 18.2 18.1 17.2 17.1 16.2 16.1
15 14.2 14.1 13.2 13.1 12.2 12.1
11.2 11.1 10.2 10.1 9.2 9.1 8
7.2 7.1 6.2 6.1 5.2 5.1 4.2
4.1 3.2 3.1 2.2 2.1 1.2 1.1
 
 
WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 14, Fasc. 2,
pages 265 - 279
 

INTERSECTIONS AND SHIFT FUNCTIONS OF STRONG MARKOV RANDOM CLOSED SETS

Ilya S. Molchanov

Abstract: If M and M 1 are independent subsets of the positive half-line, then the function x(t) = P (M /~\ (M + t) = Ř) 1 is said to be a shift function of M with respect to M . 1 In the paper both sets M and M 1 are supposed to be strong Markov (or regenerative). It is shown that the shift function is a harmonic function with respect to the kernel determined by the transition probabilities of the corresponding semi-linear forward recurrence processes. Conditions for the uniqueness of such a harmonic function with given boundary values are presented.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

Download:    Abstract    Full text   Abstract + References