The topology and geometry of random square-tiled surfaces
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Publication:2145855
DOI10.1007/s10711-022-00700-yzbMath1505.60017arXiv2005.00099OpenAlexW3023176039MaRDI QIDQ2145855
Publication date: 15 June 2022
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.00099
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Permutations, words, matrices (05A05) Representations of finite symmetric groups (20C30) Combinatorial probability (60C05) Low-dimensional topology of special (e.g., branched) coverings (57M12) Symmetric groups (20B30) Differentials on Riemann surfaces (30F30)
Related Items (4)
Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves ⋮ A lower bound on the average genus of a 2-bridge knot ⋮ Random colorings in manifolds ⋮ Statistics of finite degree covers of torus knot complements
Cites Work
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- Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
- Pants decompositions of random surfaces
- Poisson-Dirichlet distribution for random Belyi surfaces
- On a surface formed by randomly gluing together polygonal discs
- Characterizations of lattice surfaces
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Application of the Berry-Esseen inequality to combinatorial estimates
- Billiards in rectangles with barriers
- Veech surfaces and simple closed curves
- Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.
- A new approach to the automorphism group of a platonic surface
- Lengths of closed geodesics on random surfaces of large genus
- Random construction of Riemann surfaces
- Central and local limit theorems applied to asymptotic enumeration
- Asymptotic formulas on flat surfaces
- Large deviations and moments for the Euler characteristic of a random surface
- Orbitwise countings in H(2) and quasimodular forms
- The growth rate of trajectories of a quadratic differential
- Generating a random permutation with random transpositions
- On the number of cycles of given length of a free word in several random permutations
- Character Theory of Symmetric Groups and Subgroup Growth of Surface Groups
- The number of solutions of some equations in finite groups and a new proof of Itô's theorem
- An Algorithm for Finding the Veech Group of an Origami
- Probabilistic Methods in Combinatorial Analysis
- Poisson approximation of the length spectrum of random surfaces
- Random regular graphs and the systole of a random surface
- Finite length spectra of random surfaces and their dependence on genus
- On the Fourier expansion of word maps
- Topological characteristics of random triangulated surfaces
- On the Convolution of Logarithmically Concave Sequences
- The probability of generating the symmetric group
- Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
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