Mathematical Sciences: Descriptive Set Theoretic and        Probabilistic Methods in Topology and Analysis
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
Mauldin plans to investigate the random generation of                      homeomorphisms of the circle and other objects.  Computer studies               are useful here.  He plans to develop further methods of                        calculating and estimating Hausdorff dimension and measure,                     particularly within the context of dynamical systems and random                 geometric instructions.  This includes an analysis of the                       Weierstrass nowhere differentiable functions.  He plans to                      characterize those continua which have sigma-finite linear                      measure in some metric.  He plans to develop further techniques                 in descriptive set theory with applications to orthogonal                       transition kernels (positive operators) and 1-1 selections in                   mind.
{'FirstName': 'R. Daniel', 'LastName': 'Mauldin', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'R. Daniel Mauldin', 'EmailAddress': 'mauldin@unt.edu', 'NSF_ID': '000368979', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of North Texas', 'CityName': 'DENTON', 'ZipCode': '762051132', 'PhoneNumber': '9405653940', 'StreetAddress': '1112 DALLAS DR STE 4000', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Texas', 'StateCode': 'TX', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'TX13', 'ORG_UEI_NUM': 'G47WN1XZNWX9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF NORTH TEXAS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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