168 citations · 436 across the 32 of their papers we have counts for
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The rough path associated to the multidimensional analytic fbm with any Hurst parameter
Samy Tindel, Jérémie Unterberger
In this paper, we consider a complex-valued d-dimensional fractional Brownian motion defined on the closure of the complex upper half-plane, called analytic fractional Brownian mot…
A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in -dimensions
Jeremie Unterberger, Claude Roger
Let ${\cal S}^{lin}:=\{a(t)(-2\II \partial_t-\partial_r^2+V(t,r) | a\in C^{\infty}(\R/2π\Z), V\in C^{\infty}(\R/2π\Z\times\R)\}$ be the space of Schrödinger operators in -di…
A central limit theorem for the rescaled Lévy area of two-dimensional fractional Brownian motion with Hurst index
Jeremie Unterberger
Let be a two-dimensional fractional Brownian motion with Hurst index . Using an analytic approximation of introduced in \cite{Unt08},…
A classification of periodic time-dependent generalized harmonic oscillators using a Hamiltonian action of the Schrödinger-Virasoro group
Jeremie Unterberger
In the wake of a preceding article \cite{RogUnt06} introducing the Schrödinger-Virasoro group, we study its affine action on a space of -dimensional Schrödinger operators wi…