7 citations · 7 across the 1 of their papers we have counts for
9 papers
Scaling limit of triangulations of polygons
Marie Albenque, Nina Holden, Xin Sun
We prove that random triangulations of types I, II, and III with a simple boundary under the critical Boltzmann weight converge in the scaling limit to the Brownian disk. The proof…
Liouville dynamical percolation
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
We construct and analyze a continuum dynamical percolation process which evolves in a random environment given by a -Liouville measure. The homogeneous counterpart of this proce…
Liouville quantum gravity with matter central charge in : a probabilistic approach
Ewain Gwynne, Nina Holden, Joshua Pfeffer +1
There is a substantial literature concerning Liouville quantum gravity (LQG) in two dimensions with conformal matter field of central charge ${\mathbf{c}}_{\mathrm M}\in(-\infty,1]…
Recurrent extensions of real-valued self-similar Markov processes
Henry Pantí, Juan Carlos Pardo, Víctor Manuel Rivero
Let be a self-similar Markov process taking values in such that the state 0 is a trap. In this paper, we present a necessary and sufficient conditio…
Negative moments for Gaussian multiplicative chaos on fractal sets
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
The objective of this note is to study the probability that the total mass of a sub-critical Gaussian multiplicative chaos (GMC) with arbitrary base measure is small. When …
Natural parametrization of percolation interface and pivotal points
Nina Holden, Xinyi Li, Xin Sun
We prove that the interface of critical site percolation on the triangular lattice converges to SLE in its natural parametrization, where the discrete interface is parametrized…