𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quasi-invariant measures and their characterization by conditional probabilities

✍ Scribed by Kenji Handa


Publisher
Elsevier Science
Year
2001
Tongue
French
Weight
143 KB
Volume
125
Category
Article
ISSN
0007-4497

No coin nor oath required. For personal study only.

✦ Synopsis


Based on quasi-invariance properties of the Gaussian process and the gamma process, we give certain formal expressions of their laws on infinite-dimensional spaces. They are also consistent with some identities of conditional probabilities which are shown to be equivalent to the quasi-invariance properties.


πŸ“œ SIMILAR VOLUMES


Necessary and sufficient conditions for
✍ O.L.V. Costa; F. Dufour πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 116 KB

In this paper, we present necessary and su cient conditions for the existence of a non-singular invariant probability measure for a Feller Markov chain taking values on a locally compact separable metric space. The necessary and su cient condition is written in terms of the Foster's criterion with a

Integration by Parts and Quasi-Invarianc
✍ Bruce K Driver πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 744 KB

Integration by parts formulas are established both for Wiener measure on the path space of a loop group and for the heat kernel measures on the loop group. The Wiener measure is defined to be the law of a certain loop group valued ``Brownian motion'' and the heat kernel measures are time t, t>0, dis

A Correction to the Paper β€œIntegration b
✍ Bruce K. Driver πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 151 KB

It is asserted in Definition 4.2 in [1] that the random operators U(t) defined there are unitary. As was pointed out to the author by Shizan Fang, it is clear that U(t) is an isometry but it is not obvious that U(t) is surjective. The purpose of this note is to fill this gap. 1998 Academic Press 1.

Ergodicity conditions and invariant prob
✍ Lev Abolnikov; Jewgeni H. Dshalalow πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 267 KB

The authors continue to study a class of bulk queueing systems with a compound Poisson input modulated by a semi-Markov process, service control and a queue length dependent service delay discipline. A necessary and sufficient criterion of ergodicity of an embedded process is established and its sta