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On random surface area. / Zaporozhets, D. N.; Ibragimov, I. A.

In: Journal of Mathematical Sciences , Vol. 176, No. 2, 01.07.2011, p. 190-202.

Research output: Contribution to journal › Article › peer-review

Harvard

Zaporozhets, DN & Ibragimov, IA 2011, 'On random surface area', Journal of Mathematical Sciences , vol. 176, no. 2, pp. 190-202. https://doi.org/10.1007/s10958-011-0409-4

APA

Zaporozhets, D. N., & Ibragimov, I. A. (2011). On random surface area. Journal of Mathematical Sciences , 176(2), 190-202. https://doi.org/10.1007/s10958-011-0409-4

Vancouver

Zaporozhets DN, Ibragimov IA. On random surface area. Journal of Mathematical Sciences . 2011 Jul 1;176(2):190-202. https://doi.org/10.1007/s10958-011-0409-4

Author

Zaporozhets, D. N. ; Ibragimov, I. A. / On random surface area. In: Journal of Mathematical Sciences . 2011 ; Vol. 176, No. 2. pp. 190-202.

BibTeX

@article{182812ca233040738fd05db7f36147d5,
title = "On random surface area",
abstract = "Consider a random smooth Gaussian field G(x): F→ ℝ, where F is a compact set in ℝd. We derive a formula for the average area of a surface determined by the equation G(x) = 0 and give some applications. As an auxiliary result, we obtain an integral expression for the area of a surface determined by zeros of a nonrandom smooth field. Bibliography: 13 titles. {\textcopyright} 2011 Springer Science+Business Media, Inc.",
author = "Zaporozhets, {D. N.} and Ibragimov, {I. A.}",
year = "2011",
month = jul,
day = "1",
doi = "10.1007/s10958-011-0409-4",
language = "English",
volume = "176",
pages = "190--202",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - On random surface area

AU - Zaporozhets, D. N.

AU - Ibragimov, I. A.

PY - 2011/7/1

Y1 - 2011/7/1

N2 - Consider a random smooth Gaussian field G(x): F→ ℝ, where F is a compact set in ℝd. We derive a formula for the average area of a surface determined by the equation G(x) = 0 and give some applications. As an auxiliary result, we obtain an integral expression for the area of a surface determined by zeros of a nonrandom smooth field. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.

AB - Consider a random smooth Gaussian field G(x): F→ ℝ, where F is a compact set in ℝd. We derive a formula for the average area of a surface determined by the equation G(x) = 0 and give some applications. As an auxiliary result, we obtain an integral expression for the area of a surface determined by zeros of a nonrandom smooth field. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.

UR - http://www.scopus.com/inward/record.url?scp=79959538404&partnerID=8YFLogxK

U2 - 10.1007/s10958-011-0409-4

DO - 10.1007/s10958-011-0409-4

M3 - Article

AN - SCOPUS:79959538404

VL - 176

SP - 190

EP - 202

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 126290301