3 papers
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.PR2026
Flows driven by multi-indices Rough Paths
Carlo Bellingeri, Yvain Bruned, Yingtong Hou
In this work, we introduce a solution theory for scalar-valued rough differential equations driven by multi-indices rough paths. To achieve this task, we will show how the flow app…
math-ph2025
Renormalising Feynman diagrams with multi-indices
Yvain Bruned, Yingtong Hou
In this work, we provide a method to obtain the renormalised measure in quantum field theory directly from the renormalisation of the expansion of the original measure. Our approac…