4 papers
Some remarks on decay in countable groups and amalgamated free products
Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, Lizzy Teryoshin
In this note, we first study the notion of subexponential decay (SD) for countable groups with respect to a length function, which generalizes the well-known rapid decay (RD) prope…
3-handle construction on II factors
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell
We find a subtle modification to the construction of Chifan-Ioana-Kunnawalkam Elayavalli, which yields a drastic simplification of the proof of the existence of two non Gamma non e…
Internal sequential commutation and single generation
David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We extract a precise internal description of the sequential commutation equivalence relation introduced in [KEP23] for tracial von Neumann algebras. As an application we prove that…
The Maximum Number of Appearances of a Word in a Grid
Gregory Patchell, Sam Spiro
How can you fill a grid with the letters A and M so that the word ``AMM'' appears as many times as possible in the grid? More generally, given a word of length ,…