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L_1 smoothing for the Ornstein-Uhlenbeck semigroup

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Ball, Keith M., Barthe, F., Bednorz, W., Oleszkiewicz, K. and Wolff, P. (2013) L_1 smoothing for the Ornstein-Uhlenbeck semigroup. Mathematika, Volume 59 (Number 1). pp. 160-168. doi:10.1112/S0025579312001064

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Official URL: http://dx.doi.org/10.1112/S0025579312001064

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Abstract

Given a probability density, we estimate the rate of decay of the measure of the level sets of its evolutes by the Ornstein–Uhlenbeck semigroup. The rate is faster than what follows from the preservation of mass and Markov’s inequality.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Mathematika
Publisher: Cambridge University Press
ISSN: 0025-5793
Official Date: January 2013
Dates:
DateEvent
January 2013Published
Volume: Volume 59
Number: Number 1
Page Range: pp. 160-168
DOI: 10.1112/S0025579312001064
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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