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JOURNALS
// Zapiski Nauchnykh Seminarov POMI
// Archive
Zap. Nauchn. Sem. POMI,
2017
Volume 457,
Pages
101–113
(Mi znsl6439)
This article is cited in
2
papers
On an exponential functional for Gaussian processes and its geometric foundations
R. A. Vitale
Department of Statistics, University of Connecticut, Storrs, CT 06269-4120 USA
Abstract:
After setting geometric notions, we revisit an exponential functional that has arisen in several contexts, with special attention to a set of geometric parameters and associated inequalities.
Key words and phrases:
Alexandrov–Fenchel inequality, Brunn–Minkowski theory, deviation bound, Gaussian process, intrinsic volume, isonormal Gaussian process, Itô–Nisio, logconcavity, Minkowski functional, mixed volume, oscillation, quermassintegral, Steiner formula, supremum, ultra-logconcavity, Wills functional.
UDC:
519.2
Received:
24.07.2017
Language:
English
Fulltext:
PDF file (198 kB)
References
Cited by
English version:
Journal of Mathematical Sciences (New York), 2019,
238
:4,
406–414
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (198 kB)
