Abstract: Recent works have shown that an instance of a Brownian surface (such as the Brownian map or Brownian disk) a.s. has a canonical conformal structure under which it is equivalent to a 8/3-Liouville quantum gravity (LQG) surface. In particular, Brownian motion on a Brownian surface is well-defined. The construction in these works is indirect, however, and leaves open a basic question: is Brownian motion on a Brownian surface the limit of simple random walk on increasingly fine discretizations of that surface, the way Brownian motion on R2 is the ϵ→0 limit of simple random walk on ϵZ2? We answer this question affirmatively by showing that Brownian motion on a Brownian surface is (up to time change) the λ→∞ limit of simple random walk ...
AbstractPrevious works in this series have shown that an instance of a $$\sqrt{8/3}$$ ...
In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge c=1...
Liouville quantum gravity (LQG) surfaces are a family of random fractal surfaces which can be though...
© 2019, The Author(s). Recent works have shown that an instance of a Brownian surface (such as the B...
Abstract Recent works have shown that an instance of a Brownian surface (such as the Brownian map or...
Over the past few decades, two natural random surface models have emerged within physics and mathema...
We construct a stochastic process, called the Liouville Brownian mo-tion which we conjecture to be t...
Funder: University of CambridgeAbstract: Liouville quantum gravity (LQG) and the Brownian map (TBM) ...
International audienceWe construct a stochastic process, called the Liouville Brownian motion which ...
Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models of measure-endowe...
We prove that SLE$_\kappa$ for $\kappa \in (4,8)$ on an independent $\gamma=4/\sqrt{\kappa}$-Liouvil...
Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models o the LQG sphere ...
We prove that a uniform infinite quadrangulation of the half-plane decorated by a self-avoiding walk...
Liouville quantum gravity (LQG) is a random surface arising as the scaling limit of random planar ma...
In a recent series of works, Miller and Sheffield constructed a metric on $\sqrt{8/3}$-Liouville qua...
AbstractPrevious works in this series have shown that an instance of a $$\sqrt{8/3}$$ ...
In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge c=1...
Liouville quantum gravity (LQG) surfaces are a family of random fractal surfaces which can be though...
© 2019, The Author(s). Recent works have shown that an instance of a Brownian surface (such as the B...
Abstract Recent works have shown that an instance of a Brownian surface (such as the Brownian map or...
Over the past few decades, two natural random surface models have emerged within physics and mathema...
We construct a stochastic process, called the Liouville Brownian mo-tion which we conjecture to be t...
Funder: University of CambridgeAbstract: Liouville quantum gravity (LQG) and the Brownian map (TBM) ...
International audienceWe construct a stochastic process, called the Liouville Brownian motion which ...
Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models of measure-endowe...
We prove that SLE$_\kappa$ for $\kappa \in (4,8)$ on an independent $\gamma=4/\sqrt{\kappa}$-Liouvil...
Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models o the LQG sphere ...
We prove that a uniform infinite quadrangulation of the half-plane decorated by a self-avoiding walk...
Liouville quantum gravity (LQG) is a random surface arising as the scaling limit of random planar ma...
In a recent series of works, Miller and Sheffield constructed a metric on $\sqrt{8/3}$-Liouville qua...
AbstractPrevious works in this series have shown that an instance of a $$\sqrt{8/3}$$ ...
In this paper, we construct the Brownian motion of Liouville Quantum Gravity with central charge c=1...
Liouville quantum gravity (LQG) surfaces are a family of random fractal surfaces which can be though...