Mathematical Sciences: Martingales, Stochastic Integration, and Multiparameter Limit Theorems
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{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will continue his work in                       martingale theory and stochastic integration, with emphasis on                  the vector-valued and multidimensional time set extensions of                   the classical theory.  Martingales, originally introduced as                    mathematical models of fair games of chance, have found                         applications in all branches of classical analysis.  Two key                    methods in the classical theory, the use of quadratic variation                 and of stopping time techniques, break down in the vector-                      valued and multi-parameter settings, respectively.  Thus the                    challenge for this project is to determine whether the new tools                developed within the past decade can serve as effective                         substitutes.
{'FirstName': 'Terry', 'LastName': 'McConnell', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Terry R McConnell', 'EmailAddress': None, 'NSF_ID': '000161295', 'StartDate': '06/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Syracuse University', 'CityName': 'SYRACUSE', 'ZipCode': '13244', 'PhoneNumber': '3154432807', 'StreetAddress': '900 S CROUSE AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '22', 'CONGRESS_DISTRICT_ORG': 'NY22', 'ORG_UEI_NUM': 'C4BXLBC11LC6', 'ORG_LGL_BUS_NAME': 'SYRACUSE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126300', 'Text': 'PROBABILITY'}
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