Characteristic functions of measures on geometric rough paths

We define a characteristic function for probability measures on the signatures of geometric rough paths. We determine sufficient conditions under which a random variable is uniquely determined by its expected signature, thus partially solving the analogue of the moment problem. We furthermore study...

Полное описание

Библиографические подробности
Главные авторы: Chevyrev, I, Lyons, T
Формат: Journal article
Опубликовано: Institute of Mathematical Statistics 2016