Mathematical Sciences: Topics in Symbolic Dynamics
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This supplementary award is to support the mathematical                     research of Professor Selim Tuncel on the project of the                        principal investigator, Professor Lind.  The subject is a branch                of ergodic theory called symbolic dynamics.  A symbolic dynamical               system is a collection of two-way infinite strings of symbols                   from a finite alphabet satisfying a formation rule that specifies               which symbols are allowed to follow which as one moves along the                string.  Two such systems are equivalent if there is a well-                    behaved bijection between them that respects the operation of                   shifting.  A central theme in this area is the classification of                symbolic dynamical systems.                                                          Professor Tuncel will study invariants for these and related               systems, including the beta function for Markov chains and an                   algebraic invariant resulting from dimension modules and an                     additional element of structure called the scaffold. Cellular                   automata and block codes between Bernoulli shifts are additional                research topics. The mathematical structures studied in this                    project have found considerable use as models for communication                 and data systems.
[{'FirstName': 'Selim', 'LastName': 'Tuncel', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Selim Tuncel', 'EmailAddress': 'tuncel@math.washington.edu', 'NSF_ID': '000431277', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'Douglas', 'LastName': 'Lind', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Douglas Lind', 'EmailAddress': 'lind@math.washington.edu', 'NSF_ID': '000242052', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
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{'Code': '1262', 'Text': 'MODERN ANALYSIS'}
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