Mathematical Sciences: Structure Function Asymptotics for   Correlated Random Fields and Networks
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{'SignBlockName': 'Peter Arzberger', 'PO_EMAI': None, 'PO_PHON': None}
The project will investigate various properties of random                  networks and random fields indexed by graphs.  A number of long                 range properties of stochastic processes are closely related with               the natural orderings of the indexing set.  Indexing by graphs,                 along with the imposed dependence structure on the process result               in many diverse interesting properties such as phase transition,                symmetry breakdowns, and chaotic behaviors at infinity.  The                    resulting models find applications in cellular automata, neural                 networks, magnetic and electrical properties of materials, socio-               economic planning etc.
{'FirstName': 'Edward', 'LastName': 'Waymire', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Edward C Waymire', 'EmailAddress': 'waymire@math.orst.edu', 'NSF_ID': '000317042', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1263', 'Text': 'PROBABILITY'}
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