Cline, James M. and Politzer, H. David and Rey, Soo-Jong and Wise, Mark B. (1987) Correlations of peaks of Gaussian random fields. Communications in Mathematical Physics, 112 (2). pp. 217-235. ISSN 0010-3616. doi:10.1007/BF01217812. https://resolver.caltech.edu/CaltechAUTHORS:20160915-090959065
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Abstract
The high peaks of a Gaussian random field are studied. Asymptotic expansions, appropriate for high peak thresholds and large spatial separations, are developed for the N-point correlation functions of the number density of high peaks, in terms of the two-point correlation of the underlying Gaussian field. Similar expressions are derived for the correlations of points, not necessarily the positions of peaks, where the field exceeds a high threshold.
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| Additional Information: | © 1987 Springer-Verlag. Received January 12, 1987. Work supported in part by U.S. Department of Energy under contract DEAC03-81-ER40050. KFAS Graduate Fellow. Alfred P. Sloan Foundation Fellow and supported in part by U.S. Department of Energy Outstanding Junior Investigator Program under contract No. DE-FG03-84 ER40172. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1007/BF01217812 | |||||||||
| Record Number: | CaltechAUTHORS:20160915-090959065 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160915-090959065 | |||||||||
| Official Citation: | Cline, J.M., Politzer, H.D., Rey, S. et al. Commun.Math. Phys. (1987) 112: 217. doi:10.1007/BF01217812 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 70365 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 15 Sep 2016 17:10 | |||||||||
| Last Modified: | 11 Nov 2021 04:28 |
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