Riesz energy, \(L^2\) discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus
From MaRDI portal
Publication:6540009
DOI10.1112/mtk.12245MaRDI QIDQ6540009
Peter J. Grabner, Bence Borda, Ryan Matzke
Publication date: 15 May 2024
Published in: Mathematika (Search for Journal in Brave)
Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Irregularities of distribution, discrepancy (11K38) Potential theory on Riemannian manifolds and other spaces (31C12) Optimal transportation (49Q22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
- Sequences, discrepancies and applications
- Distributions of positive mass, which maximize a certain generalized energy integral
- Hyperuniform point sets on the sphere: probabilistic aspects
- Determinantal processes and independence
- From random matrices to random analytic functions
- Spectral analysis of large dimensional random matrices
- On optimal matchings
- Irregularities of distribution. I
- On means of distances on the surface of a sphere (lower bounds)
- On means of distances on the surface of a sphere. II: Upper bounds
- Expected Riesz energy of some determinantal processes on flat tori
- A PDE approach to a 2-dimensional matching problem
- On two versions of \(L^ 2\)-discrepancy and geometrical interpretation of diaphony
- Foundations of quantization for probability distributions
- Irregularity of distribution in Wasserstein distance
- Approximation to uniform distribution in \(\mathrm{SO}(3)\)
- Hyperuniform point sets on flat tori: deterministic and probabilistic aspects
- On the search for tight frames of low coherence
- Stolarsky's invariance principle for projective spaces
- Bounds for \(L_p\)-discrepancies of point distributions in compact metric measure spaces
- The Stolarsky principle and energy optimization on the sphere
- The projective ensemble and distribution of points in odd-dimensional spheres
- The spherical ensemble and uniform distribution of points on the sphere
- The special functions and their approximations. Vol. I, II
- A generalization of the spherical ensemble to even-dimensional spheres
- Optimal periodic \(L_2\)-discrepancy and diaphony bounds for higher order digital sequences
- A simple proof of Stolarsky’s invariance principle
- Approximation by finitely supported measures
- Asymptotic quantization for probability measures on Riemannian manifolds
- Note on Irregularities of Distribution II
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- The Riesz energy of the N th roots of unity: an asymptotic expansion for large N
- POINT DISTRIBUTIONS IN COMPACT METRIC SPACES
- Rate of convergence to the Circular Law via smoothing inequalities for log-potentials
- Point sets with optimal order of extreme and periodic discrepancy
- Extreme and periodic $L_2$ discrepancy of plane point sets
- Sums of Distances Between Points on a Sphere. II
- POINT DISTRIBUTIONS IN TWO‐POINT HOMOGENEOUS SPACES
- Discrete Energy on Rectifiable Sets
- On the sum of distances betweenn points on a sphere
- Empirical measures and random walks on compact spaces in the quadratic Wasserstein metric
- The Wasserstein distance to the circular law
- Riesz and Green energy on projective spaces
Related Items (1)
This page was built for publication: Riesz energy, \(L^2\) discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus