66 citations · 746 across the 88 of their papers we have counts for
94 papers
Moment obstructions and continuum-to-discrete bounds for checkerboard no-three-in-line sets
Jujhar Aujla, Thomas Prellberg, Nirvair Sandhu
Fix one colour class in the checkerboard colouring of an integer grid, and let be the largest subset having at most two points in every row, column…
Cayley-graph density of Thompson's group F: local deletions and finite-window bounds
Thomas Prellberg
Let be the Cayley graph of Thompson's group with its standard generators. Belk and Brown constructed finite marked-forest subgraphs of limiting density , and Guba show…
Three Irrationality Results for the Dilogarithm: Rhin--Viola and Viola--Zudilin Constructions at , , and
Thomas Prellberg
We prove the irrationality of \[ \Li_2(-1/4),\qquad \Li_2(1/5),\qquad \Li_2(-1/3). \] The three arguments form a natural progression. The first is an endpoint completion of the fiv…
Collision-Generated Compression for Homogeneous Keller Maps
Thomas Prellberg
We associate to a collision of a homogeneous Keller map the polarization subalgebra generated by and . This collision hull is the smallest i…
Area and water-capacity statistics for upper hulls of Dyck paths
Aleksander L. Owczarek, Thomas Prellberg
We study Dyck paths refined simultaneously by proper area and water capacity, where water capacity is measured above the path and below its lattice-path upper hull. The finite-heig…
No-three-in-line sets on the checkerboard grid
Thomas Prellberg
The classical no-three-in-line problem asks for the largest number of points that can be chosen from an grid with no three collinear; it remains open whether the…