Poisson–Dirichlet distribution for random Belyi surfaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Introduction to Belyi Surfaces

We outline the basic theory of Belyi surfaces, up to Belyi’s theorem (1979, [1]), which characterizes these spaces as precisely those Riemann surfaces that are defined over Q. We then detail the Brooks-Makover construction of a Belyi surface from an oriented cubic graph from [3]. Consequently, we can apply the model of Bollobás in order to randomly pick a Belyi surface. Finally, we briefly expl...

متن کامل

Belyi functions for Archimedean solids

Without doubt the authentic type of these gures exists in the mind of God the Creator and shares His eternity. Abstract The notion of a Belyi function is a main technical tool which relates the combinatorics of maps (i.e., graphs embedded into surfaces) with Galois theory, algebraic number theory, and the theory of Riemann surfaces. In this paper we compute Belyi functions for a class of semi-r...

متن کامل

Separated Belyi Maps

We construct Belyi maps having specified behavior at finitely many points. Specifically, for any curve C defined over Q, and any disjoint finite subsets S, T ⊂ C(Q), we construct a finite morphism φ : C → P such that φ ramifies at each point in S, the branch locus of φ is {0, 1,∞}, and φ(T ) ∩ {0, 1,∞} = ∅. This refines a result of Mochizuki’s. We also prove an analogous result over fields of p...

متن کامل

Noncritical Belyi Maps

×ØÖÖغ In the present paper, we present a slightly strengthened version of a well-known theorem of Belyi on the existence of " Belyi maps ". Roughly speaking, this strengthened version asserts that there exist Belyi maps which are unramified at [cf. Theorem 2.5] — or even near [cf. Corollary 3.2] — a prescribed finite set of points. Write C for the complex number field; Q ⊆ C for the subfield o...

متن کامل

Random Surfaces

We study the statistical physical properties of (discretized) “random surfaces,” which are random functions from Z (or large subsets of Z) to E, where E is Z or R. Their laws are determined by convex, nearest-neighbor, gradient Gibbs potentials that are invariant under translation by a full-rank sublattice L of Z; they include many discrete and continuous height function models (e.g., domino ti...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Annals of Probability

سال: 2006

ISSN: 0091-1798

DOI: 10.1214/009117906000000223