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- W2034508498 abstract "Let G be a connected Lie group with the Lie algebra G . The action of Cameron–Martin space H( G ) on the path space P e ( G ) introduced by L. Gross (Illinois J. Math. 36 (1992) 447) is free. Using this fact, we define the H -distance on P e ( G ), which enables us to establish a transportation cost inequality on P e ( G ). This method will be generalized to the path space over the loop group L e (G) , so that we obtain a transportation cost inequality for heat measures on L e (G) ." @default.
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- W2034508498 date "2005-01-01" @default.
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- W2034508498 title "Transportation cost inequalities on path and loop groups" @default.
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- W2034508498 doi "https://doi.org/10.1016/j.jfa.2004.02.002" @default.
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