Seminars & Colloquia Calendar
Fastest rate of localization for eigenfunctions
Aleksandr Logunov, MIT
Location: Room 208, Science & Engineering Resource Center (SEC 208), Busch Campus, Rutgers University
Date & time: Friday, 29 March 2024 at 2:00PM - 3:00PM
The Laplace operator in the Euclidean space has no L^2 eigenfunctions, but by perturbing the metric or adding a potential one can construct a plenty of examples of operators with L^2 integrable eigenfunctions. Landis conjecture states that any non-zero solution to Delta u + V u=0 in the Euclidean space with real bounded V cannot decay faster than exponentially near infinity. If we are allowed to slightly perturb the coefficients of the Laplace operator (for instance taking a small smooth perturbation of the Euclidean metric and taking the Laplace operator for this metric ) how fast can we force an eigenfunction of the perturbed Laplace operator to be localized? We will review known results, related open questions and recent constructions of Nazarov and AL, Filonov and Krymskii, Pagano, AL and Krymskii of eigenfunctions to linear elliptic operators with smooth coefficients, which are localized much faster than exponentially.
Eilidh McKemmie -Charles Weibel Organizer's Page
Narek Hovsepyan and Ewerton Rocha Vieira Organizer's page
Ziming Shi, Sagun Chanillo, Xiaojun Huang, Chi Li, Jian Song Seminar website Old seminar website
Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Robert Dougherty-Bliss and Doron Zeilberger --> homepage
Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Hong Chen Seminar webpage
Fanxin Wu and Nkhalo Malawo Organizer's website
James Holland; Organizer website
Organizers: Maxime Van de Moortel and Avy Soffer. Organizer's Page
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
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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