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Your search keyword '"Inahama, Yuzuru"' showing total 2 results
Start Over Author "Inahama, Yuzuru" Journal infinite dimensional analysis, quantum probability & related topics
2 results on '"Inahama, Yuzuru"'

1. QUASI-SURE EXISTENCE OF BROWNIAN ROUGH PATHS AND A CONSTRUCTION OF BROWNIAN PANTS.

Author

INAHAMA, YUZURU

Subjects
*WIENER processes, *STOCHASTIC differential equations, *LOOP spaces, *MALLIAVIN calculus, *DIMENSIONAL analysis, *PATH integrals
Abstract

In this paper we will prove the quasi-sure existence of the Brownian rough path for finite-dimensional cases. As an application we will give a construction of Brownian pants, that is a certain continuous process on the continuous loop space over a compact manifold. [ABSTRACT FROM AUTHOR]

Published
2006
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2. LOGARITHMIC SOBOLEV INEQUALITY FOR [formula]-METRIC ON PINNED LOOP GROUPS.

Author

Inahama, Yuzuru

Subjects
*LOGARITHMS, *SOBOLEV spaces, *FUNCTIONAL analysis, *MATHEMATICAL inequalities, *MATHEMATICAL analysis, *METRIC spaces, *MATHEMATICS
Abstract

In this paper we prove the logarithmic Sobolev inequality on pinned loop groups over compact Lie groups equipped with [formula]-metric (s>1/2). We also compute the Ricci tensor with respect to [formula]-metric and investigate its asymptotic behavior as s decreases to 1/2. [ABSTRACT FROM AUTHOR]

Published
2004
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