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
The game behind oriented percolation
Avelio Sepúlveda, Bruno Ziliotto
We characterize the critical parameter of oriented percolation on through the value of a zero-sum game. Specifically, we define a zero-sum game on a percolation conf…