4 papers
Interaction geometry and ground-state properties of sparse quantum lattice models
Alex Gunning, Sebastian Schmid, Zhengxiao Liu +3
We investigate how interaction geometry shapes the low-energy phases of sparse tunable long-range quantum models. We focus on a class of graphs whose degree grows logarithmically w…
Counting LEGO configurations
Anthony J Guttmann, Alexander Gunning, Rasmus M Nilsson
We discuss the problem of counting certain LEGO structures, primarily those comprising parallel tiles. These can be combined, as a single LEGO structure, by interlocki…
FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI
Elliot Glazer, Ege Erdil, Tamay Besiroglu +21
We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most…
Geometry-driven transitions in sparse long-range spin models with cold atoms
Alex Gunning, Aydin Deger, Sridevi Kuriyattil +1
We explore the influence of geometry in the critical behavior of sparse long-range spin models. We examine a model with interactions that can be continuously tuned to induce distin…