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20052020
most citedDouble product integrals and Enriquez quantisation of Lie bialgebras II: The quantum Yang-Baxter equation

9 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

cs.LG2020★ 3 cited

Signature features with the visibility transformation

Yue Wu, Hao Ni, Terence J. Lyons +1

In this paper we put the visibility transformation on a clear theoretical footing and show that this transform is able to embed the effect of the absolute position of the data stre…

math.PR2016

The Moments of Lévy's area using a sticky shuffle Hopf algebra

Robin Hudson, Uwe Schauz, Wu Yue

Lévy's stochastic area for planar Brownian motion is the difference of two iterated integrals of second rank against its component one-dimen\-sional Brownian motions. Such iterated…

math.PR2016★ 2 cited

Moments of quantum Lévy areas using sticky shuffle Hopf algebras

Robin Hudson, Uwe Schauz, Yue Wu

We study a family of quantum analogs of Lévy's stochastic area for planar Brownian motion depending on a variance parameter which deform to the classical Lévy area as $σ\…

math-ph2015

On a quantum causal stochastic double product integral related to Lévy area

Robin Hudson, Yuchen Pei

We study the family of causal double product integrals \begin{equation*} \prod_{a < x < y < b}\left(1 + i{λ\over 2}(dP_x dQ_y - dQ_x dP_y) + i {μ\over 2}(dP_x dP_y + dQ_x dQ_y)\rig…

math.QA2005★ 9 cited

Double product integrals and Enriquez quantisation of Lie bialgebras II: The quantum Yang-Baxter equation

R. L. Hudson, S. Pulmannova

For a Lie algebra with Lie bracket got by taking commutators in a nonunital associative algebra L, let T(L) be the vector space of tensors over L equipped with the Ito Hopf algebra…