12 citations · 21 across the 9 of their papers we have counts for
14 papers
A cyclotomic gluing construction for lattice sphere packings
Nihar Gargava, Matthias Gröbner, Michael Simkin
For a positive integer , let denote the supremum of the densities of lattice sphere packings in . We prove that, for every sufficiently large , $Δ_d^L \g…
Non-existence probabilities and lower tails in the critical regime via Belief Propagation
Matthew Jenssen, Will Perkins, Aditya Potukuchi +1
We compute the logarithmic asymptotics of the non-existence probability (and more generally the lower-tail probability) for a wide variety of combinatorial problems for a range of…
A Toolkit for Robust Thresholds
Huy Tuan Pham, Ashwin Sah, Mehtaab Sawhney +1
Consider a host hypergraph which contains a spanning structure due to minimum degree considerations. We collect three results proving that if the edges of are sampled at th…
Threshold for Steiner triple systems
Ashwin Sah, Mehtaab Sawhney, Michael Simkin
We prove that with high probability contains a spanning Steiner triple system for , establishing the exponent for the thresho…
Substructures in Latin squares
Matthew Kwan, Ashwin Sah, Mehtaab Sawhney +1
We prove several results about substructures in Latin squares. First, we explain how to adapt our recent work on high-girth Steiner triple systems to the setting of Latin squares,…
High-Girth Steiner Triple Systems
Matthew Kwan, Ashwin Sah, Mehtaab Sawhney +1
We prove a 1973 conjecture due to Erdős on the existence of Steiner triple systems with arbitrarily high girth.