Mathematical Sciences: Research in 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 three general areas of research are Brownian motion on                 manifolds, measure valued processes, and the range of a random                  walk.  The unifying theme among them is the study of intersection               local times.  The research is generalization to manifolds of the                results previously obtained by the investigator.  Various forms                 of intersection local times are used.  Study of the local times                 for Levy processes is prompted due to the relatively recent                     discovery of the necessary and sufficient condition for sample                  continuity of a stationary Gaussian process.  The isolation of                  the regular part of the intersection local times of higher orders               lead in a normal way to the study of anticipative integrands.                   Various new methods developed for these integrands will                         contribute towards the study of the higher order intersection                   local times.
{'FirstName': 'Jay', 'LastName': 'Rosen', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jay S Rosen', 'EmailAddress': 'jrosen30@optimum.net', 'NSF_ID': '000159511', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'CUNY College of Staten Island', 'CityName': 'STATEN ISLAND', 'ZipCode': '103146609', 'PhoneNumber': '7189822254', 'StreetAddress': '2800 VICTORY BLVD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '11', 'CONGRESS_DISTRICT_ORG': 'NY11', 'ORG_UEI_NUM': 'L63BKBLD2LH4', 'ORG_LGL_BUS_NAME': 'RESEARCH FOUNDATION OF THE CITY UNIVERSITY OF NEW YORK', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126300', 'Text': 'PROBABILITY'}
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