Mathematical Sciences: Studies in Lattice Random Walks
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The investigator will study two problems dealing with random               walks.  The first problem of self avoiding random walks has                     applications in chemical physics as a model for polymer chains.                 The properties of self avoiding walks will be analyzed via the                  mathematically more tractable intersection properties of two                    simple random walks.  The second problem of the random walks in                 random environments has applications in many fields including                   biology and chemistry.  The general problem of the field is to                  find properties of a markov chain when its transition matrix is                 chosen from some probability distribution.  The investigator has                had a strong record in both areas already and has exiting new                   ideas for the new problems proposed.
{'FirstName': 'Gregory', 'LastName': 'Lawler', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Gregory F Lawler', 'EmailAddress': 'lawler@math.uchicago.edu', 'NSF_ID': '000246742', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Duke University', 'CityName': 'DURHAM', 'ZipCode': '277054640', 'PhoneNumber': '9196843030', 'StreetAddress': '2200 W MAIN ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'North Carolina', 'StateCode': 'NC', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'NC04', 'ORG_UEI_NUM': 'TP7EK8DZV6N5', 'ORG_LGL_BUS_NAME': 'DUKE UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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