Seminars & Colloquia Calendar
On feasibility of extrapolation of completely monotone functions.
Yury Grabovsky (Temple University)
Location: Hill 005
Date & time: Wednesday, 20 March 2024 at 11:00AM - 12:00PM
In many areas of science and engineering people measure positive linear combinations of decaying exponentials and want to recover their parameters. The goal of this talk is to discuss feasibility of such a recovery. Positive linear combinations form a well-known class of completely monotone functions (CMFs). To quantify our question, we look for pairs of CMFs that have relative discrepancy (epsilon) on a given interval (a,b) as measured by the (L^2)-norm. Our goal is to estimate the largest relative discrepancy between them at a given point (x_0
ot in (a,b)). We show that this discrepancy can be made as large as one wishes, when (x_0 le a), and scales as (epsilon^{gamma(x_0)}), when (x_0 > b). An explicit formula for (gamma(x_0) in (0,1)) will be presented. This is a joint work with my graduate student Henry Brown and builds on a prior joint work with Narek Hovsepyan.
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Narek Hovsepyan and Ewerton Rocha Vieira Organizer's page
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Fanxin Wu and Nkhalo Malawo Organizer's website
James Holland; Organizer website
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Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
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Yanyan Li, Zheng-Chao Han, Natasa Sesum, Jian Song Organizer's Page
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Dennis Kriventsov Organizer's Webpage
Alex V. Kontorovich, Vlada Sedláček seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
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