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National Science Foundation Award #9010507

Mathematical Sciences: Tangency, Hypercontractivity and other Domination Concepts for Stochastic Processes

 
Investigator(s): Wojbor Woyczynski (PI) ; S. Kwapien (Co-PI)
Sponsor: Case Western Reserve University, OH 44106 2163684510
Start Date/Expiration Date 1990-08-01 to 1991-07-31 (amended 1990-08-02)
Awarded Amount to Date: $10,000
Abstract: The principal investigator with his collaborator S. Kwapien will study new methods for comparison of sums of independent random variables, martingale difference sequences, subordinated sequences, and other dominated sequences. The techniques that will be employed exploit the concepts of tangency, decoupling and hypercontractivity. These methods are applied to study of continuous time stochastic processes and single and multiple stochastic integrals.
NSF Org: DMS - Division of Mathematical Sciences
Award Number: 9010507
Award Instrument: Standard Grant
Program Manager: Peter W. Arzberger
DMS Division of Mathematical Sciences
MPS Directorate for Mathematical & Physical Sciences
NSF Program(s): APPLIED MATHEMATICS, PROBABILITY, PROBABILITY
Field Application(s): Mathematics, Other nsf.applications NEC
Program Element Code(s): 1266
PROBABILITY, 1263
, 1263