Mathematical Sciences: Analysis in the Large
{'Code': '03040108', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
Isaac Chavel and Edgar Feldman will continue their                         investigations of the effect of small perturbations of a manifold               on the spectral and stochastic properties of the manifold. These                investigations have progressed from studying the relation of                    eigenvalues of the Laplacian to the geometry and topology of the                manifold to consideration of probabilistic formulations of these                questions.                                                                           The particular perturbations of the manifolds to be studied                include adding long thin handles, deleting tubular neighborhoods                of submanifolds or removing small domains. The investigators will               also consider large time asymptotics of Brownian motion and heat                diffusion.
[{'FirstName': 'Isaac', 'LastName': 'Chavel', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Isaac Chavel', 'EmailAddress': None, 'NSF_ID': '000149028', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Edgar', 'LastName': 'Feldman', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Edgar A Feldman', 'EmailAddress': None, 'NSF_ID': '000195923', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'CUNY City College', 'CityName': 'NEW YORK', 'ZipCode': '100319101', 'PhoneNumber': '2126505418', 'StreetAddress': '160 CONVENT AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'NY13', 'ORG_UEI_NUM': 'L952KGDMSLV5', 'ORG_LGL_BUS_NAME': 'RESEARCH FOUNDATION OF THE CITY UNIVERSITY OF NEW YORK', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8704325.xml'}