3 papers
math.CO2026
Fertility fibres and coproduct coefficients in the LOT Hopf algebra
Zhicheng Zhu, Jingtao Li, Xing Gao
We study fibres of the fertility map from decorated rooted trees to decorated multi-index monomials. For a multi-index of weight , the fibre $\mathcal F_{\mat…
math.PR2026
Banach fixed point and flow approach for rough analysis
Yvain Bruned, Yingtong Hou, Paul Laubie +1
In this paper, we show that the main algebraic assumption required to perform a fixed point argument for rough differential equations implies the algebraic assumption for the Baill…
math.PR2025
Controlled rough paths: a general Hopf-algebraic setting
Zhicheng Zhu, Xing Gao, Nannan Li +1
We set up controlled rough paths for a class of combinatorial Hopf algebras, encompassing shuffle, Butcher-Connes-Kreimer and Munthe-Kaas--Wright Hopf algebras. The class of contro…