In mathematics, Ratner's theorems are a group of major theorems in ergodic theory concerning unipotent flows on homogeneous spaces proved by Marina Ratner around 1990. The theorems grew out of Ratner's earlier work on horocycle flows. The study of the dynamics of unipotent flows played a decisive role in the proof of the Oppenheim conjecture by Grigory Margulis. Ratner's theorems have guided key advances in the understanding of the dynamics of unipotent flows. Their later generalizations provide ways to both sharpen the results and extend the theory to the setting of arbitrary semisimple algebraic groups over a local field.
Read more about Ratner's Theorems: Short Description, See Also
Other articles related to "ratner, theorems":
Mark Ratner - Chemistry Academic Career
... Ratner taught chemistry at New York University from 1970 until 1974 ... Ratner's more current areas of research include electron transfer, self-assembly, nonlinear optical response in molecules, and theories of quantum dynamics ... Ratner is a member of the International Academy of Quantum Molecular Science ...
... Ratner taught chemistry at New York University from 1970 until 1974 ... Ratner's more current areas of research include electron transfer, self-assembly, nonlinear optical response in molecules, and theories of quantum dynamics ... Ratner is a member of the International Academy of Quantum Molecular Science ...
Ratner - See Also
... Gerald Ratner Athletics Center ... Ratner's Star, a novel by Don DeLillo ... Ratner's theorems, a group of major theorems in ergodic theory proved by Marina Ratner around 1990 ...
... Gerald Ratner Athletics Center ... Ratner's Star, a novel by Don DeLillo ... Ratner's theorems, a group of major theorems in ergodic theory proved by Marina Ratner around 1990 ...
Marina Ratner
... Marina Ratner is a professor of mathematics at the University of California, Berkeley who works in ergodic theory ... Around 1990 she proved a group of major theorems concerning unipotent flows on homogeneous spaces, known as Ratner's theorems ... Ratner was awarded the Ostrowski Prize in 1993 and elected to the National Academy of Sciences the same year ...
... Marina Ratner is a professor of mathematics at the University of California, Berkeley who works in ergodic theory ... Around 1990 she proved a group of major theorems concerning unipotent flows on homogeneous spaces, known as Ratner's theorems ... Ratner was awarded the Ostrowski Prize in 1993 and elected to the National Academy of Sciences the same year ...
List Of People From Shaker Heights, Ohio - R
... Joshua Radin, singer-songwriter Bruce Ratner, philanthropist and real estate developer on the board of directors for Forest City Enterprises Ellen Ratner, news analyst on the Fox ...
... Joshua Radin, singer-songwriter Bruce Ratner, philanthropist and real estate developer on the board of directors for Forest City Enterprises Ellen Ratner, news analyst on the Fox ...
Hair Cuttery
... is a United States-based unisex hair salon, founded by Dennis and Anne Ratner in 1974 ... One of the founders, Anne Ratner, was originally from Great Britain ... Privately held Ratner Companies operates Hair Cuttery (company-owned and franchised), BUBBLES, Salon Cielo and Spa, ColorWorks, and Salon Plaza ...
... is a United States-based unisex hair salon, founded by Dennis and Anne Ratner in 1974 ... One of the founders, Anne Ratner, was originally from Great Britain ... Privately held Ratner Companies operates Hair Cuttery (company-owned and franchised), BUBBLES, Salon Cielo and Spa, ColorWorks, and Salon Plaza ...