Mathematical Sciences: Large Deviations and the Law of the  Iterated Logarithm in Banach Spaces
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger'}
The investigator plans to study two problems.  The first                   problem of large deviations has deep theoretical consequences as                well as applications in statistical physics and mathematical                    statistics.  The investigator hopes eventually to prove a general               result on lower bounds for large deviations in case of vector-                  valued functionals of Markov chains.  He has already established                several links necessary to prove this result.  The second problem               hopes to settle the major open question in the field of the law                 of iterated logarithms in Banach spaces viz., the identification                of the limits and the underlying problem of obtaining sharp                     exponential bounds for sums of independent random vectors.
{'FirstName': 'Alejandro', 'LastName': 'de Acosta', 'EmailAddress': 'add3@po.cwru.edu', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Case Western Reserve University', 'CityName': 'CLEVELAND', 'ZipCode': '441064901', 'PhoneNumber': '2163684510', 'StreetAddress': 'Nord Hall, Suite 615', 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH'}
{'Code': '1263', 'Text': 'PROBABILITY'}
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