Rescaled contact processes converge to super-Brownian motion in two or more dimensions
Publication
, Journal Article
Durrett, R; Perkins, EA
Published in: Probability Theory and Related Fields
January 1, 1999
We show that in dimensions two or more a sequence of long range contact processes suitably rescaled in space and time converges to a super-Brownian motion with drift. As a consequence of this result we can improve the results of Bramson, Durrett, and Swindle (1989) by replacing their order of magnitude estimates of how close the critical value is to 1 with sharp asymptotics.
Duke Scholars
Published In
Probability Theory and Related Fields
DOI
ISSN
0178-8051
Publication Date
January 1, 1999
Volume
114
Issue
3
Start / End Page
309 / 399
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Durrett, R., & Perkins, E. A. (1999). Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Probability Theory and Related Fields, 114(3), 309–399. https://doi.org/10.1007/s004400050228
Durrett, R., and E. A. Perkins. “Rescaled contact processes converge to super-Brownian motion in two or more dimensions.” Probability Theory and Related Fields 114, no. 3 (January 1, 1999): 309–99. https://doi.org/10.1007/s004400050228.
Durrett R, Perkins EA. Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Probability Theory and Related Fields. 1999 Jan 1;114(3):309–99.
Durrett, R., and E. A. Perkins. “Rescaled contact processes converge to super-Brownian motion in two or more dimensions.” Probability Theory and Related Fields, vol. 114, no. 3, Jan. 1999, pp. 309–99. Scopus, doi:10.1007/s004400050228.
Durrett R, Perkins EA. Rescaled contact processes converge to super-Brownian motion in two or more dimensions. Probability Theory and Related Fields. 1999 Jan 1;114(3):309–399.
Published In
Probability Theory and Related Fields
DOI
ISSN
0178-8051
Publication Date
January 1, 1999
Volume
114
Issue
3
Start / End Page
309 / 399
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 4904 Pure mathematics
- 0104 Statistics
- 0102 Applied Mathematics
- 0101 Pure Mathematics