Preprints and papers | 2026

Preprints and papers | 2026

Ilya Chevyrev, Emilio Rossi FerrucciDarrick LeeTerry LyonsHarald Oberhauser, Nikolas Tapia
Orthogonal polynomials on path-space

arXiv:2602.18808v1 (21 Feb 2026) 


Francesco PiattiThomas CassWill Turner
Random Controlled Differential Equations

Accepted at ICLR (26 Jan 2026)  DOI


Martin GellerTerry Lyons
The Geometry of Rough Path Space

arXiv:2601.15402 (21 Jan 2026)  DOI


Carlo Bellingeri, Emilio Ferrucci, Nikolas Tapia  
Branched Itô formula and natural Itô-Stratonovich isomorphism

Advances in Mathematics (Jan 2026)  DOI


Maud Lemercier, Terry LyonsCristopher Salvi
Log-PDE Methods for Rough Signature Kernels

Accepted at SIAM Journal on Numerical Analysis (16 Jan 2026)  DOI


Emilio Ferrucci, Timothy Herschell, Christian Litterer, Terry Lyons
High-degree cubature on Wiener space through unshuffle expansions

Proceedings of the Royal Society A  (15 Jan 2026)  DOI

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