Mathematical Sciences: Markov Processes and Related Topics
{'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}
This group of outstanding researcher propose to continue                   their studies in to probabilistic potential theory.  A new                      definition of capacity and co-capacity based on Kuznetsov                       measures is used.  Since this does not use the assumption of                    duality, a general framework for potential theory is expected to                emerge.                                                                              Specific problems to be worked on include transformations of               Kuznetsov processes that preserve the Markov property,                          relationships of homogeneous random measures and entrance laws,                 existence of right processes with given hitting distributions and               general theory of h-transforms of bi-Brownian motions.
{'FirstName': 'Michael', 'LastName': 'Sharpe', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael J Sharpe', 'EmailAddress': None, 'NSF_ID': '000117013', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-San Diego', 'CityName': 'LA JOLLA', 'ZipCode': '920930021', 'PhoneNumber': '8585344896', 'StreetAddress': '9500 GILMAN DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '50', 'CONGRESS_DISTRICT_ORG': 'CA50', 'ORG_UEI_NUM': 'UYTTZT6G9DT1', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SAN DIEGO', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1263', 'Text': 'PROBABILITY'}
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