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Functional Analysis and Partial Differential Equations Lab
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A mathematics lab studying the spectra and scattering of operators.
AboutAbout the lab
Exploring the properties of operators through scattering theory.
Professor Serge Richard does research in mathematics at Nagoya University.
He studies operators such as Schrödinger operators from the viewpoints of spectral theory and scattering theory.
His list of publications also includes papers that investigate the spread of infectious diseases using mathematical models and data assimilation.
Key terms
- Spectral theory
- A mathematical theory that studies the properties of the set of values an operator can take (its spectrum)
- Scattering theory
- A theory that uses mathematical language to study the phenomenon in which particles or waves collide with something and change their course
- Data assimilation
- A method of incorporating observational data into calculations from a mathematical model to estimate the state of a phenomenon more reliably
ResearchResearch themes
Professor Richard studies the spectral theory and scattering theory of operators. His list of publications includes papers on Schrödinger operators, Levinson's theorem, and index theorems.
View More ↗MembersFaculty
- ProfessorSerge Richard
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Centre de Physique Théorique de l'Ecole polytechnique (CPHT)” Ecole polytechnique / Paris / France / CC BY-SA 2.0 (cropped)
- Related lab (関数解析学・作用素環論・数理物理
（クリス・ボーン） ): “Central library physics and mathematics section” Mahi zahidi / CC BY-SA 4.0 (cropped)
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