Mathematical Sciences: Stochastic Processes
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'K Crank', 'PO_EMAI': None, 'PO_PHON': None}
The investigator will study diffusion on fractals and                      diffusion in Euclidean spaces.  Problems in the area of                         diffusions on fractals include constructing Brownian motions on                 fractals imbedded in higher dimensional Euclidean spaces,                       estimating spectral dimension, estimating transition densities,                 and proving uniqueness in law. Problems in the area of diffusions               on Euclidean spaces include proving uniqueness in law for                       diffusions with piecewise continuous coefficients and                           investigating the corresponding Dirichlet problems.                                  The investigator is working on problems at the interface                   between probability, mathematical physics (i.e. the physics of                  disordered material), and geometry. He will construct Brownian                  motions (a probabilistic model for the displacement of a                        particle) on fractals.  One result from this construction will be               the estimation of the spectral dimension of the fractal, which                  the study of fractals has shown often to be the important                       dimension in physics.
{'FirstName': 'Richard', 'LastName': 'Bass', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard F Bass', 'EmailAddress': 'bass@math.uconn.edu', 'NSF_ID': '000469628', 'StartDate': '06/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Washington', 'CityName': 'SEATTLE', 'ZipCode': '981951016', 'PhoneNumber': '2065434043', 'StreetAddress': '4333 BROOKLYN AVE NE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Washington', 'StateCode': 'WA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'WA07', 'ORG_UEI_NUM': 'HD1WMN6945W6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WASHINGTON', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1263', 'Text': 'PROBABILITY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8822053.xml'}