2 citations
- Max Planck Institute for MathematicsDE6 papers
- Center for Scalable Data Analytics and Artificial IntelligenceDE4 papers
- Leipzig UniversityDE2 papers
- Association for the Advancement of Artificial IntelligenceUS1 paper
- Capital Normal UniversityCN1 paper
- Center for Interdisciplinary StudiesIN1 paper
- German Research Centre for Artificial IntelligenceDE1 paper
- Hefei UniversityCN1 paper
- Heidelberg UniversityDE1 paper
- Institute for Advanced StudyUS1 paper
- Ludwig-Maximilians-Universität MünchenDE1 paper
- Lyon 1 UniversitéFR1 paper
8 papers
Extremal fences with polyforms
Alexis Langlois-Rémillard, Mia N. MüÃig, Ãrika Roldán
We present results around an isoperimetric problem built on polyforms: What is the biggest enclosed area one can build using polyforms in each of the three plane tessellations? We…
Mukai lifting of self-dual points in
Barbara Betti, Leonie Kayser
A set of points in is self-dual if it is invariant under the Gale transform. Motivated by Mukai's work on canonical curves, Petrakiev showed that a general…
Fuzzy simplicial sets and their application to geometric data analysis
Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad +3
In this article, we expand upon the concepts introduced by David Spivak about the relationship between the category of uber metric spaces and the category $\mathbf{sF…
From the discrete to the continuous, from simplicial complexes to Riemannian manifolds. Approximating flows and cuts on manifolds by discrete versions
Marzieh Eidi, Juergen Jost, Dong Zhang
Many fundamental structures of Riemannian geometry have found discrete counterparts for graphs or combinatorial ones for simplicial complexes. These include those discussed in this…
Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States
Qian-Xi Zhang, Ming-Xing Luo, Ya-Li Mao +6
Understanding the nonlocality of multipartite quantum systems provides valuable insights into their behaviors and potential applications. In this Letter, assuming a quantum network…
Positive del Pezzo Geometry
Nick Early, Alheydis Geiger, Marta Panizzut +2
Real, complex, and tropical algebraic geometry join forces in a new branch of mathematical physics called positive geometry. We develop the positive geometry of del Pezzo surfaces…