2 papers
math.PR2025
An elementary approach to quantum length of SLE
Ellen Powell, Avelio Sepúlveda
We present an elementary proof establishing the equality of the right and left-sided -quantum lengths for an SLE curve, where . We achieve this by demons…
math.PR2024
A characterisation of the continuum Gaussian free field in dimensions
Juhan Aru, Ellen Powell
We prove that under certain mild moment and continuity assumptions, the -dimensional Gaussian free field is the only stochastic process in that is translation invarian…