Computing the Continuous Discretely

By Matthias Beck, Sinai Robins. 2015

514 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e714ea5a22310c68f8cc4ebf38d61fdd950b7c28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Mauricio Velasco
2. Gregory G. Smith
3. Grigoriy Blekherman
4. Ali Soleyman Jahan

In Discrete Mathematics and Combinatorics

1. Gregory G. Smith

In Geometry and Topology

1. Mauricio Velasco
2. Gregory G. Smith
3. Grigoriy Blekherman
4. H. Iritani
5. Ali Soleyman Jahan

Citations in the corpus

• Sums of squares and varieties of minimal degree (2013, background): “sumption together with inequality (4) in [Sta] proves that h∗ m(Q)=0. Similarly, inequality (6) in [Sta] (with i =1) shows that h∗ m−1(Q)=0. Hence, Ehrhart– Macdonald reciprocity (e.g. Theorem 4.4 in [BR]) establishes that neither Q nor 2Q have any SUMS OF SQUARES AND MINIMAL DEGREE 17 interior latt”