A conceptual breakthrough in sphere packing
arXiv:1611.01685 · doi:10.1090/noti1474
Abstract
This expository paper describes Viazovska's breakthrough solution of the sphere packing problem in eight dimensions, as well as its extension to twenty-four dimensions by Cohn, Kumar, Miller, Radchenko, and Viazovska.
24 pages, 9 figures
Cited by in corpus (16)
- The sphere packing problem in dimension 24
- On the hard sphere model and sphere packings in high dimensions
- Dynamical fluctuations in the Riesz gas
- On the best lattice quantizers
- Thermodynamic stability of hard sphere crystals in dimensions 3 through 10
- The optimal lattice quantizer in nine dimensions
- Random Sequential Covering
- The Golay codes and Quantum Contextuality
- Eigenfunctions of the Fourier Transform with specified zeros
- Birds on a Wire
- Exponential improvements for superball packing upper bounds
- Classical Density Functional Theory: Representability and Universal Bounds
- Dynamic Space Packing
- From sphere packing to Fourier interpolation
- Dynamic Space Filling
- Performance of Random Template Banks