2 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
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 demonstra…
Excursion decomposition of the 2D continuum GFF
Juhan Aru, Titus Lupu, Avelio Sepúlveda
In this note we show that the 2D continuum Gaussian free field (GFF) admits an excursion decomposition that is on the one hand similar to the classical excursion decomposition of t…
Percolation for 2D classical Heisenberg model and exit sets of vector valued GFF
Juhan Aru, Christophe Garban, Avelio Sepúlveda
Our motivation in this paper is twofold. First, we study the geometry of a class of exploration sets, called exit sets, which are naturally associated with a 2D vector-valued GFF :…