Titel
On the specific relative entropy between martingale diffusions on the line
Autor*in
Abstract
The specific relative entropy, introduced in the Wiener space setting by N. Gantert, allows to quantify the discrepancy between the laws of potentially mutually singular measures. It appears naturally as the large deviations rate function in a randomized version of Donsker’s invariance principle, as well as in a novel transport-information inequality recently derived by H. Föllmer. A conjecture, put forward by the aforementioned authors, concerns a closed form expression for the specific relative entropy between continuous martingale laws in terms of their quadratic variations. We provide a first partial result in this direction, by establishing this conjecture in the case of well-behaved martingale diffusions on the line.
Stichwort
DiffusionsMartingalessmall time asymptoticsspecific relative entropy
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:2071716
Erschienen in
Titel
Electronic Communications in Probability
Band
28
ISSN
1083-589X
Erscheinungsdatum
2023
Publication
Institute of Mathematical Statistics
Fördergeber
Erscheinungsdatum
2023
Zugänglichkeit
Rechte
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