4 papers · 1 filter
Scaling limit of Sinkhorn-rescaled Random Matrices via Stability of Static Schrödinger Bridges
Danny Duan, Hanbaek Lyu, William Powell
We analyze the asymptotic behavior and scaling limits of large random matrices rescaled via the Sinkhorn algorithm to match prescribed row and column margins. For a random matrix w…
Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP
David Keating, Minjun Kim, Eva Loeser +1
We introduce the Stochastic Box-Ball System (SBBS), a probabilistic cellular automaton that generalizes the classic Takahashi-Satsuma Box-Ball System. In SBBS, particles are transp…
Large random matrices with given margins
Hanbaek Lyu, Sumit Mukherjee
We study large random matrices with i.i.d. entries conditioned to have prescribed row and column sums (margins), a problem connected to relative entropy minimization, Schrödinger…
Likelihood-Based Root State Reconstruction on a Tree: Sensitivity to Parameters and Applications
David Clancy, Hanbaek Lyu, Sebastien Roch +1
We consider a broadcasting problem on a tree where a binary digit (e.g., a spin or a nucleotide's purine/pyrimidine type) is propagated from the root to the leaves through symmetri…