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  1. No Access

    Article

    Delocalization of Uniform Graph Homomorphisms from \({\mathbb {Z}}^2\) to \({\mathbb {Z}}\)

    Graph homomorphisms from the \({\mathbb {Z}}^d\) Z ...

    Nishant Chandgotia, Ron Peled, Scott Sheffield… in Communications in Mathematical Physics (2021)

  2. Article

    Open Access

    The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to \(\sqrt{8/3}\)-Liouville Quantum Gravity

    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 \(\sqrt{8/3}\)8/3-Liouville qu...

    Ewain Gwynne, Jason Miller, Scott Sheffield in Communications in Mathematical Physics (2020)

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    Article

    Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation

    Gaussian Multiplicative Chaos is a way to produce a measure on \({\mathbb{R}^d}\) ...

    Bertrand Duplantier, Rémi Rhodes, Scott Sheffield… in Communications in Mathematical Physics (2014)

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    Article

    Conformal Radii for Conformal Loop Ensembles

    The conformal loop ensembles CLE κ , defined for 8/3 ≤ κ ≤ 8, are random collections of loops in a planar domain which are conjectured scaling limits of the O(n) loop models. We ...

    Oded Schramm, Scott Sheffield, David B. Wilson in Communications in Mathematical Physics (2009)