Functionals of an infinite particle system with independent motions, creation, and annihilation
- 1 December 1974
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 6 (4) , 636-650
- https://doi.org/10.2307/1426184
Abstract
Particles enter a state space at random times. Each particle travels in the space independent of the other particles until its death. Functionals of the particle system are studied with strong laws and central limit theorems being obtained.Keywords
This publication has 9 references indexed in Scilit:
- Mesure invariante des processus de Markov recurrentsPublished by Springer Nature ,2006
- A random measure model for the emission of pollutants by vehicles on a highwayStochastic Processes and their Applications, 1974
- The Occupation Time of a Set by Countably Many Recurrent Random WalksThe Annals of Mathematical Statistics, 1972
- Limit theorems for infinite particle systemsProbability Theory and Related Fields, 1971
- A System of Markov Chains with Random Life TimesThe Annals of Mathematical Statistics, 1970
- Equilibrium systems of recurrent Markov processesJournal of Mathematical Analysis and Applications, 1967
- Equilibrium systems of stable processesPacific Journal of Mathematics, 1967
- Equilibrium processesTransactions of the American Mathematical Society, 1966
- On occupation times for Markoff processesTransactions of the American Mathematical Society, 1957