Occupation time large deviations for critical branching brownian motion, super-brownian motion and related processes

Annals of Probability

Volumn 26, Issue 2, 1998, Pages 602-643

  Deuschel, Jean Dominique ^a   Rosen, Jay ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

Branching brownian motion; Large deviations; Occupation time; Super brownian motion

Indexed keywords

EID: 0032375175     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. RODEMICH, E., GARSIA, A. and RUMSEY, H. (1970). A real variable lemma and the continuity of paths of some Gaussian processes. Indiana Univ. Math. J. 20 565-578.
2. Cox, J. and GRIFFEATH, D. (1985). Occupation times for critical branching Brownian motions. Ann. Probab. 13 1108-1132.
3. GOROSTIZA, L., DAWSON, D. and WAKOLBINGER, A. (1997). Occupation time fluctuations in branching systems. Unpublished manuscript.
4. DAWSON, D. (1993). Measure-valued Markov processes. Ecole d'eté de probabilités de St. Flour XXI. Lecture Notes in Math. 1541. Springer, Berlin.
5. DEMBO, A. and ZEITOUNI, O. (1993). Large Deviations Techniques and Applications. Jones and Bartlett, Boston.
6. DEUSCHEL, J.-D. and STROOCK, D. (1989). Large Deviations. Academic Press, Boston.
7. DEUSCHEL, J.-D. and WANG, K. (1997). Large deviations for occupation time functionals of branching Brownian particles and super-Brownian motion. Preprint.
8. DYNKIN, E. B. (1989). Superprocesses and their linear additive functionals. Trans. Amer. Math. Soc. 314 255-282.
9. ISCOE, I. (1986). A weighted occupation time for a class of measure-valued branching processes. Z. Wahrsch. Verw. Gebiete 71 85-116.
10. ISCOE, I. and LEE, T. (1993). Large deviations for occupation times of measure-valued branching Brownian motions. Stochastics Stochastics Rep. 45 177-209.
11. LEE, T.-Y. and REMILLARD, B. (1995). Large deviations for three dimensional super-Brownian motion. Ann. Probab. 23 1755-1771.
12. ROSEN, J. (1992). Renormalization and limit theorems for self-intersections of superprocesses. Ann. Probab. 20 1341-1368.