Mathematical Sciences: Sojourn Times and Extremes of        Stochastic Processes
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will extend his past results on                 sojourn times, local times and extremes of stochastic processes                 to the multidimensional case.  The investigator has found many                  distributional and structural results about the above functionals               in the one dimensional case.  Since these processes are used                    extensively as models in many situations, the properties of these               functionals are important from the applications point of view.  A               related concept is the multiplicity of values of the sample                     functions of stochastic processes.  Properties of sets of points                of multiplicity m have been studied for Markov and other                        processes.  The investigator will extend these ideas to multi-                  dimensional case.
{'FirstName': 'Simeon', 'LastName': 'Berman', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Simeon M Berman', 'EmailAddress': None, 'PI_PHON': None, 'NSF_ID': '000180402', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'New York University', 'CityName': 'NEW YORK', 'ZipCode': '100121019', 'PhoneNumber': '2129982121', 'StreetAddress': '70 WASHINGTON SQ S', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '10', 'CONGRESS_DISTRICT_ORG': 'NY10', 'ORG_UEI_NUM': 'NX9PXMKW5KW8', 'ORG_LGL_BUS_NAME': 'NEW YORK UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'NX9PXMKW5KW8'}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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