We investigate the Large Deviation behaviour in small time of continuous Gaussian processes. We introduce a general procedure allowing us to derive Large Deviation Principles in small time starting from the well understood context of Large Deviation Principles with a small parameter, going beyond the self-similar case. Several motivating examples are also treated.

Baldi, P., Pacchiarotti, B. (2026). Large deviations of continuous Gaussian processes: from small noise to small time. STOCHASTICS, 98(4), 571-600 [10.1080/17442508.2025.2593360].

Large deviations of continuous Gaussian processes: from small noise to small time

Baldi P.;Pacchiarotti B.
2026-01-01

Abstract

We investigate the Large Deviation behaviour in small time of continuous Gaussian processes. We introduce a general procedure allowing us to derive Large Deviation Principles in small time starting from the well understood context of Large Deviation Principles with a small parameter, going beyond the self-similar case. Several motivating examples are also treated.
2026
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/06
Settore MATH-03/B - Probabilità e statistica matematica
English
Con Impact Factor ISI
Large deviations
self similar Gaussian processes
small time
Baldi, P., Pacchiarotti, B. (2026). Large deviations of continuous Gaussian processes: from small noise to small time. STOCHASTICS, 98(4), 571-600 [10.1080/17442508.2025.2593360].
Baldi, P; Pacchiarotti, B
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/469045
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