AbstractIt is asserted in Definition 4.2 in [1] that the random operatorsU(t) defined there are unitary. As was pointed out to the author by Shizan Fang, it is clear thatU(t) is an isometry but it is not obvious thatU(t) is surjective. The purpose of this note is to fill this gap
We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolical...
the proof of the first implication (G) ⇒ (HG) contained an error. Despite that, the result (G) ⇒ (...
We investigate isoperimetric and functional inequalities for probability measures in the sub-ellipti...
AbstractIntegration by parts formulas are established both for Wiener measure on the path space of a...
Consider unitary operators (It and (;2 represented by matrices U1 and U2 of size N. We shall call op...
New version of the previous paper "Hua-Pickrell measures on general compact groups". The article has...
Correction to Analysis & PDE 3:1 (2010) 49–80International audienceThe following results in the pape...
have been revised accordingly; a correct version is given below. Other results in [1] are not affect...
AbstractFor all metric Hs with s>1/2, the heat measures on free loop groups have been constructed by...
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hi...
This book features a unified derivation of the mathematical theory of the three classical types of i...
We review some recent developments in random matrix theory, and establish a moderate deviation resul...
In this Reply we show that to characterize our paper as “mathematically incomplete and physically fa...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
AbstractThis paper consists of three parts. In Part I, we obtain results on the integrability of fun...
We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolical...
the proof of the first implication (G) ⇒ (HG) contained an error. Despite that, the result (G) ⇒ (...
We investigate isoperimetric and functional inequalities for probability measures in the sub-ellipti...
AbstractIntegration by parts formulas are established both for Wiener measure on the path space of a...
Consider unitary operators (It and (;2 represented by matrices U1 and U2 of size N. We shall call op...
New version of the previous paper "Hua-Pickrell measures on general compact groups". The article has...
Correction to Analysis & PDE 3:1 (2010) 49–80International audienceThe following results in the pape...
have been revised accordingly; a correct version is given below. Other results in [1] are not affect...
AbstractFor all metric Hs with s>1/2, the heat measures on free loop groups have been constructed by...
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hi...
This book features a unified derivation of the mathematical theory of the three classical types of i...
We review some recent developments in random matrix theory, and establish a moderate deviation resul...
In this Reply we show that to characterize our paper as “mathematically incomplete and physically fa...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
AbstractThis paper consists of three parts. In Part I, we obtain results on the integrability of fun...
We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolical...
the proof of the first implication (G) ⇒ (HG) contained an error. Despite that, the result (G) ⇒ (...
We investigate isoperimetric and functional inequalities for probability measures in the sub-ellipti...
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