Counting problems for invariant point processes

DOI10.1007/978-3-031-43502-7_10zbMATH Open1546.60088MaRDI QIDQ6610519

Could not fetch data.

Publication date: 25 September 2024

point process Poisson process random lattice saddle connection

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Lattice points in specified regions (11P21) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Mean value and transfer theorems (11H60)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Poincaré sections for the horocycle flow in covers of $\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})$ and applications to Farey fraction statistics
Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
Gauss measures for transformations on the space of interval exchange maps
Interval exchange transformations and measured foliations
Hausdorff dimension of sets of nonergodic measured foliations
Siegel measures
Connected components of the moduli spaces of Abelian differentials with prescribed singularities
The distribution of gaps for saddle connection directions
Siegel-Veech transforms are in $L^2$
A higher moment formula for the Siegel-Veech transform over quotients by Hecke triangle groups
Central limit theorems for generic lattice point counting
Effective counting on translation surfaces
The Erdős-Szüsz-Turán distribution for equivariant processes
Growth of the number of simple closed geodesics on hyperbolic surfaces
A mean value theorem in geometry of numbers
Mean values over the space of lattices
Asymptotic formulas on flat surfaces.
The gap distribution of slopes on the golden $L$
Ergodic theory and Diophantine approximation for translation surfaces and linear forms
Cusp excursions on parameter spaces
A Poincaré Section for the Horocycle Flow on the Space of Lattices
Gap distributions and homogeneous dynamics
Random Affine Lattices
Remarks on the theory of diophantine approximation
A Metrical Theorem in Diophantine Approximation
Some Probabilistic Theorems on Diophantine Approximations
The rate of mixing for geodesic and horocycle flows
On the geometry and dynamics of diffeomorphisms of surfaces
The $\bm{n}$-point correlations between values of a linear form
The Distribution of Gaps for Saddle Connections on the Octagon
Ergodicity of Flows on Homogeneous Spaces
Counting pairs of saddle connections

This page was built for publication: Counting problems for invariant point processes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6610519)