Mathematical Sciences: Random Multilinear Forms and MultipleStochastic Integrals
{'Code': '03040107', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Peter Arzberger'}
The aim of the researchers is to study multiple stochastic                 integrals and multilinear random forms.  A general stochastic                   integral  of functions of multiple variables with respect to                    multidimensional stochastic processes is a random variable.  The                major goals of the research are to find the class of integrable                 functions and to study the distributional properties of the                     integral.  A major technique in studying these integrals is the                 decoupling inequality.  The investigators have already done work                in this area.  They will continue to extend the known decoupling                techniques.  They will also study the applicability of the hyper-               contraction principle and resulting comparison theorems.
{'FirstName': 'Wojbor', 'LastName': 'Woyczynski', 'EmailAddress': 'waw@case.edu', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Case Western Reserve University', 'CityName': 'CLEVELAND', 'ZipCode': '441064901', 'PhoneNumber': '2163684510', 'StreetAddress': 'Nord Hall, Suite 615', 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH'}
{'Code': '1263', 'Text': 'PROBABILITY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8713103.xml'}