Mathematical Sciences: Analysis of Stochastic Processes and Random Fields
{'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 research has three components.  The first part will be                carried out by both the investigators in association with each                  other and the other two, separately.  The first part will study                 the occupation measures for Gaussian random fields.  The                        occupation measure is the measure of the subset of the index                    space on which the random field takes values in a specified set.                One of the investigators has already established some                           relationship between the occupation measure and the capacity of a               set.  The investigators now plan to explore these results                       further.                                                                             Investigator Pitt will continue his probabilistic analysis                 of lacunary trigonometric series and will investigate further the               utility of "local nondeterminism" in sample path analysis of Levy               processes.  Investigator Taylor plans to continue his development               of analytic tools relevant to the sample path analysis of Levy                  processes.
[{'FirstName': 'Loren', 'LastName': 'Pitt', 'PI_MID_INIT': 'D', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Loren D Pitt', 'EmailAddress': 'ldp@virginia.edu', 'NSF_ID': '000413440', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'S. James', 'LastName': 'Taylor', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'S. James Taylor', 'EmailAddress': 'sjt@virginia.EDU', 'NSF_ID': '000177608', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'University of Virginia Main Campus', 'CityName': 'CHARLOTTESVILLE', 'ZipCode': '229034833', 'PhoneNumber': '4349244270', 'StreetAddress': '1001 EMMET ST N', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Virginia', 'StateCode': 'VA', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'VA05', 'ORG_UEI_NUM': 'JJG6HU8PA4S5', 'ORG_LGL_BUS_NAME': 'RECTOR & VISITORS OF THE UNIVERSITY OF VIRGINIA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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