Filoche and Mayboroda awarded 2024 Elias M. Stein Prize for New Perspectives in Analysis
The inaugural 2024 Elias M. Stein Prize for New Perspectives in Analysis is awarded jointly to Marcel Filoche and Svitlana Mayboroda for their original, powerful, elegant and impactful theory of the "localization landscape."
The prize citation notes: "Initially developed in Proc. Natl. Acad. Sci. USA 109 (2012), no. 37 and Contemp. Math. 601 (2013) [the] theory evolved in scope and impact through multiple subsequent collaborative works, including in Adv. Math. 390 (2021), Paper No. 107946, 34 pp. In this theory, the localization of eigenfunctions to a Schrödinger type operator is controlled in various senses by a single, easily computed ‘landscape function.’ This discovery is supported by theoretical results, striking numerics, and physical experiment, and it provides a novel way to look at eigenfunctions that goes beyond existing methods such as semiclassical analysis or probabilistic approaches, greatly clarifying the phenomenon of wave localization."
