Mathematical Sciences: Topics in Dynamical Systems and      Differential Geometry
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{'SignBlockName': 'William Y. Velez', 'PO_EMAI': None, 'PO_PHON': None}
This is a project for mathematical research in ergodic                     theory and dynamical systems.  The general theme of these areas                 is to study the average behavior, over the long run, of                         transformations of a space under stepwise iteration or continuous               flow.  The three principal investigators expect their work to                   benefit from collaborative interactions.                                             Corresponding to what sort of underlying space one has, the                subject matter divides roughly into three categories: symbolic,                 smooth, and measurable dynamics.  Research topics in symbolic                   dynamics are automorphisms of the shift, regular isomorphism of                 Markov shifts, and nonnegative integral matrices.  In smooth                    dynamics, topics include dynamical methods in the study of the                  Navier - Stokes equation, random diffeomorphisms and the                        propagation of roundoff error, and geodesic flows and Riemannian                geometry.  In the area of measurable dynamics, research topics                  include restricted orbit equivalence and tiling representations                 of higher dimensional real actions.
[{'FirstName': 'Daniel', 'LastName': 'Rudolph', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Daniel Rudolph', 'EmailAddress': 'rudolphd@math.colostate.edu', 'NSF_ID': '000417056', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Michael', 'LastName': 'Boyle', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael M Boyle', 'EmailAddress': 'mmb@math.umd.edu', 'NSF_ID': '000421829', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Michael', 'LastName': 'Brin', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael I Brin', 'EmailAddress': 'mbrin@math.umd.edu', 'NSF_ID': '000228350', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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