7 papers
Lusztig-Vogan categories of equal rank 2
Daniel Dunmore, Anna Romanov, Victor L. Zhang
Lusztig-Vogan categories are categorifications of the principal block of the Lusztig-Vogan module over the Hecke algebra, which captures information about characters of irreducible…
OpenZL: A Graph-Based Model for Compression
Yann Collet, Nick Terrell, W. Felix Handte +10
Research techniques in the last decade have improved lossless compression ratios by significantly increasing processing time. These techniques have remained obscure because product…
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
On detection probabilities of link invariants
Tuomas Kelomäki, Abel Lacabanne, Daniel Tubbenhauer +2
We prove that, for many standard link invariants, both the proportion of distinct invariant values and the detection probability among prime alternating links with at most n crossi…
Big data comparison of quantum invariants
Daniel Tubbenhauer, Victor Zhang
We apply big data techniques, including exploratory and topological data analysis, to investigate quantum invariants. More precisely, our study explores the Jones polynomial's stru…
Exploring the Landscape of Distributed Graph Sketching
David Tench, Evan T. West, Kenny Zhang +6
Recent work has initiated the study of dense graph processing using graph sketching methods, which drastically reduce space costs by lossily compressing information about the input…
GraphZeppelin: Storage-Friendly Sketching for Connected Components on Dynamic Graph Streams
David Tench, Evan West, Victor Zhang +6
Finding the connected components of a graph is a fundamental problem with uses throughout computer science and engineering. The task of computing connected components becomes more…