Gravitational allocation for uniform points on the sphere
From MaRDI portal
Publication:2227716
DOI10.1214/20-AOP1452zbMath1476.60086OpenAlexW3122912776MaRDI QIDQ2227716
Nina Holden, Alex Zhai, Yuval Peres
Publication date: 15 February 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aop/1611306381
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal transport from Lebesgue to Poisson
- On the rate of convergence in Wasserstein distance of the empirical measure
- Phase transitions in gravitational allocation
- Poisson matching
- A stable marriage of Poisson and Lebesgue
- On a partial differential equation involving the Jacobian determinant
- Gravitational allocation to Poisson points
- On optimal matchings
- The average-case analysis of some on-line algorithms for bin packing
- Tight bounds for minimax grid matching with applications to the average case analysis of algorithms
- Asymptotics for transportation cost in high dimensions
- Almost sure convergence of the minimum bipartite matching functional in Euclidean space
- A PDE approach to a 2-dimensional matching problem
- How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields
- Finer estimates on the \(2\)-dimensional matching problem
- Transportation to random zeroes by the gradient flow
- Extra heads and invariant allocations
- Combinatorial Optimization Over Two Random Point Sets
- Stochastic and Integral Geometry
- Tail Bounds for the Stable Marriage of Poisson and Lebesgue
- Matching Theorems and Empirical Discrepancy Computations using Majorizing Measures
- Gravitational allocation on the sphere
- Upper and Lower Bounds for Stochastic Processes
This page was built for publication: Gravitational allocation for uniform points on the sphere