Mathematical Sciences: Limit and Averaging Theorems in      Ergodic Theory
{'Code': '03040103', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez'}
The investigators will conduct mathematical research in                    ergodic theory, which studies the average, long-run behavior of                 stepwise iterated or continuously flowing transformations.                      Their project impinges upon a variety of subjects: functional                   analysis, probability, harmonic analysis, combinatorics, and                    number theory.                                                                       Professor Sucheston will work with linear transformations of               certain function spaces and will also pursue multiparameter limit               theorems for vector-valued random processes, and prophet theorems               in stochastic decision theory.  In addition to classical                        questions of convergence in ergodic theory, Professor Rosenblatt                will investigate uniqueness and existence of invariant means for                group actions, and random walks on groups.  His work on groups                  will be complemented by that of Dr. Yang, a postdoctoral                        associate on this project.  Professor Bergelson will concentrate                on multiple recurrence and mixing in dynamical systems, with                    applications to number theory and combinatorics.  The total                     effort is expected to benefit from cooperation among the four                   researchers.
[{'FirstName': 'Louis', 'LastName': 'Sucheston', 'EmailAddress': None, 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Joseph', 'LastName': 'Rosenblatt', 'EmailAddress': 'rosnbltt@illinois.edu', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Vitaly', 'LastName': 'Bergelson', 'EmailAddress': 'vitaly@math.ohio-state.edu', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Ohio State University Research Foundation -DO NOT USE', 'CityName': 'Columbus', 'ZipCode': '432101016', 'PhoneNumber': '6146888734', 'StreetAddress': '1960 KENNY RD', 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH'}
{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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