Mathematical Sciences: Dynamics of Polynomial               Diffeomorphisms
{'Code': '03040108', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook'}
John Smillie will carry out research into the dynamics of                  polynomial diffeomorphisms. This research belongs to the study of               chaos.                                                                               Smillie will study the Henon family of transformations.                    These are two dimensional diffeomorphisms of importance because                 of the fractal nature of their invariant sets. Smillie will study               the topological, differential and measure theoretic invariants of               these maps. The questions will involve entropy, criteria for                    hyperbolicity, invariant measures and Lyapunov exponents.
{'FirstName': 'John', 'LastName': 'Smillie', 'EmailAddress': 'smillie@math.cornell.edu', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Cornell University', 'CityName': 'Ithaca', 'ZipCode': '148502820', 'PhoneNumber': '6072555014', 'StreetAddress': '373 Pine Tree Road', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY'}
{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8803228.xml'}