3 papers
cs.LG2026
A Hierarchical Language Model with Predictable Scaling Laws and Provable Benefits of Reasoning
Jason Gaitonde, Frederic Koehler, Elchanan Mossel +2
We introduce a family of synthetic languages with hierarchical structure -- generated by a broadcast process on trees -- for which the role of context length and reasoning in autor…
math.PR2026
Rotationally invariant first passage percolation: Breaking the variance barrier
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For first passage percolation (FPP) on Euclidean lattices with , it is expected that the variance of the first passage time between two points grows sublinea…
math.PR2023
Rotationally invariant first passage percolation: Concentration and scaling relations
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For rotationally invariant first passage percolation (FPP) on the plane, we use a multi-scale argument to prove stretched exponential concentration of the first passage times at th…