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L_1 smoothing for the Ornstein-Uhlenbeck semigroup
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Ball, Keith, 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. ISSN 0025-5793
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Official URL: http://dx.doi.org/10.1112/S0025579312001064
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: |
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| Volume: | Volume 59 | ||||
| Number: | Number 1 | ||||
| Page Range: | pp. 160-168 | ||||
| Identification Number: | 10.1112/S0025579312001064 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| URI: | http://wrap.warwick.ac.uk/id/eprint/49646 |
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