Marina Ratner | Academic Influence

Marina Ratner's AcademicInfluence.com Rankings

Marina Ratner

Mathematics

#766

World Rank

#1386

Historical Rank

#334

USA Rank

Measure Theory

#2204

World Rank

#2650

Historical Rank

#630

USA Rank

mathematics Degrees

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Mathematics

Marina Ratner's Degrees

PhD Mathematics Moscow State University

Why Is Marina Ratner Influential?

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According to Wikipedia, Marina Evseevna Ratner was a professor of mathematics at the University of California, Berkeley who worked 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 elected to the American Academy of Arts and Sciences in 1992, awarded the Ostrowski Prize in 1993 and elected to the National Academy of Sciences the same year. In 1994, she was awarded the John J. Carty Award from the National Academy of Sciences.

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Marina Ratner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On Raghunathan’s measure conjecture (1991) (450)
Raghunathan’s topological conjecture and distributions of unipotent flows (1991) (383)
Markov partitions for anosov flows onn-dimensional manifolds (1973) (182)
The central limit theorem for geodesic flows onn-dimensional manifolds of negative curvature (1973) (175)
Horocycle flows, joinings and rigidity of products (1983) (158)
On measure rigidity of unipotent subgroups of semisimple groups (1990) (137)
The rate of mixing for geodesic and horocycle flows (1987) (134)
Rigidity of horocycle flows (1982) (103)
Strict measure rigidity for unipotent subgroups of solvable groups (1990) (101)
Anosov flows with gibbs measures are also Bernoullian (1974) (79)
Interactions Between Ergodic Theory, Lie Groups, and Number Theory (1995) (71)
Factors of horocycle flows (1982) (55)
Invariant measures and orbit closures for unipotent actions on homogeneous spaces (1994) (53)
Raghunathan’s conjectures for SL(2,R) (1992) (48)
Raghunathan’s conjectures for Cartesian products of real and $\mathfrak{p}$-adic Lie groups (1995) (47)
Horocycle flows are loosely Bernoulli (1978) (46)
The cartesian square of the horocycle flow is not loosely Bernoulli (1979) (35)
Rigidity of time changes for horocycle flows (1986) (34)
Distribution rigidity for unipotent actions on homogeneous spaces (1991) (30)
Raghunathan's conjectures for p -adic Lie groups (1993) (23)
Bernoulliflows over maps of the interval (1978) (21)
Some invariants of Kakutani equivalence (1981) (19)
Invariant measures for unipotent translations on homogeneous spaces. (1990) (18)
Rigid reparametrizations and cohomology for horocycle flows (1987) (16)
UNIPOTENT FLOWS ON HOMOGENEOUS SPACES (1994) (13)
Markov splitting for U-flows in three-dimensional manifolds (1969) (9)
MARKOV SPLITTING FOR U-FLOWS DIMENSIONAL MANIFOLDS (1969) (0)
THE UNIVERSITY OF CHICAGO MEASURABLE ISOMORPHISMS OF UNIPOTENT TRANSLATIONS ON HOMOGENEOUS SPACES A DISSERTATION SUBMITTED TO THE FACULTY OF THE DIVISION OF THE PHYSICAL SCIENCES IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF MATHEMATICS BY DAVID WITTE (2013) (0)
On Flows of Linear Elements on Compact Surfaces of Constant Negative Curvature (1978) (0)

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