Limit theorems for occupation time fluctuations of branching systems I: Long-range dependence
- 1 January 2006
- journal article
- Published by Elsevier BV in Stochastic Processes and their Applications
- Vol. 116 (1), 1-18
- https://doi.org/10.1016/j.spa.2005.07.002
Abstract
No abstract availableThis publication has 16 references indexed in Scilit:
- Limit theorems for occupation time fluctuations of branching systems II: Critical and large dimensionsStochastic Processes and their Applications, 2006
- Sub-fractional Brownian motion and its relation to occupation timesStatistics & Probability Letters, 2004
- A series expansion of fractional Brownian motionProbability Theory and Related Fields, 2004
- Occupation Time Fluctuations in Branching SystemsJournal of Theoretical Probability, 2001
- SELF-INTERSECTION LOCAL TIME FOR ${\mathcal S}' ({\mathbb R}^d)$-WIENER PROCESSES AND RELATED ORNSTEIN–UHLENBECK PROCESSESInfinite Dimensional Analysis, Quantum Probability and Related Topics, 1999
- Large deviations for the occupation time functional of a Poisson system of independent Brownian particlesStochastic Processes and their Applications, 1994
- Measure-valued Markov processesLecture Notes in Mathematics, 1993
- Markov properties of the fluctuation limit of a particle systemJournal of Mathematical Analysis and Applications, 1990
- Langevin equations for L′-Valued Gaussian processes and fluctuation limits of infinite particle systemsProbability Theory and Related Fields, 1986
- Convergence of S′-valued processes and space-time random fieldsJournal of Functional Analysis, 1986