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Recent Submissions

  • Almost sure multifractal spectrum of SLE 

    Gwynne, E; Miller, Jason Peter; Sun, X
    Suppose that $\eta$ is a Schramm-Loewner evolution (SLE$_\kappa$) in a smoothly bounded simply connected domain $D \subset {\mathbb C}$ and that $\phi$ is a conformal map from ${\mathbb D}$ to a connected component of $D ...
  • Brownian motion correlation in the peanosphere for $κ> 8$ 

    Gwynne, E; Holden, N; Miller, Jason Peter; Sun, X
    The peanosphere (or "mating of trees") construction of Duplantier, Miller, and Sheffield encodes certain types of $\gamma$-Liouville quantum gravity (LQG) surfaces ($\gamma \in (0,2)$) decorated with an independent ...
  • The structure theory of Nilspaces II: Representation as nilmanifolds 

    Gutman, Yonatan; Manners, Freddie; Varjú, Péter P
    This paper forms the second part of a series by the authors [GMV1,GMV3] concerning the structure theory of nilspaces of Antol\'in Camarena and Szegedy. A nilspace is a compact space $X$ together with closed collections of ...
  • Self-avoiding walks and amenability 

    Grimmett, Geoffrey Richard; Li, Zhongyang
    The connective constant $\mu(G)$ of an infinite transitive graph $G$ is the exponential growth rate of the number of self-avoiding walks from a given origin. The relationship between connective constants and amenability ...

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