1 citations · 2 across the 5 of their papers we have counts for
5 papers
Operator dependent para-controlled calculus, periodic homogenisation and singular PDEs
Yilin Chen, Weijun Xu
We develop a variant of the para-controlled distributions framework based on operator dependent (generalised) Besov spaces. These spaces were introduced by Kerkyacharian-Petrushev…
Periodic homogenisation for two dimensional generalised parabolic Anderson model
Yilin Chen, Benjamin Fehrman, Weijun Xu
We consider the periodic homogenisation problem for the generalised parabolic Anderson model on the two dimensional torus. We show that, for the renormalisation that respects Wick…
Periodic homogenisation for
Yilin Chen, Weijun Xu
We consider the periodic homogenisation problem for dynamical , a toy model that combines both renormalisation in singular stochastic PDEs and homogenisation. Our result sh…
Sums of products of Bessel functions and order derivatives of Bessel functions
Yilin Chen
In this paper, sums represented in (3) are studied. The expressions are derived in terms of Bessel functions of the first and second kinds and their integrals. Further, we point ou…
A Summation of Series Involving Bessel Functions and Order Derivatives of Bessel Functions
Yilin Chen
In this note, we derive the closed-form expression for the summation of series , which is found in the calculation of entanglemen…