https://en.wikipedia.org/wiki/Martin_Hairer (抜粋) Research
Hairer's nomination for the Royal Society reads: “ Professor Martin Hairer is one of the world's foremost leaders in the field of stochastic partial differential equations in particular, and in stochastic analysis and stochastic dynamics in general. By bringing new ideas to the subject he made fundamental advances in many important directions such as the study of variants of Hormander's theorem, systematisation of the construction of Lyapunov functions for stochastic systems, development of a general theory of ergodicity for non-Markovian systems, multiscale analysis techniques, theory of homogenisation, theory of path sampling and, most recently, theory of rough paths and the newly introduced theory of regularity structures.[8] ” Under the name HairerSoft, he develops Macintosh software.[9]
2014年フィールズ賞Artur Avila Cordeiro de Melo 物理数理系か https://en.wikipedia.org/wiki/Artur_Avila (抜粋) Artur Avila Cordeiro de Melo (born 29 June 1979) is a Brazilian and French mathematician working primarily on dynamical systems and spectral theory. He is one of the winners of the 2014 Fields Medal,[2] being the first Latin American to win such award. He is a researcher at both the IMPA and the CNRS (working a half-year in each one).
At 19 he began his doctoral thesis on the theory of dynamical systems. Completed in 2001, when he traveled to France to do post-doctoral.[6] It works in the areas of dimensional dynamic and holomorfa.[7] Since 2003 works at the Centre National de la Recherche Scientifique (CNRS) in France, and since 2008 is Directeur de recherche at this property. His post-doctoral supervisor was Jean-Christophe Yoccoz.[8]
