130 citations · 209 across the 59 of their papers we have counts for
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Almost Quartic Lower Bound for the Fröhlich Polaron's Effective Mass via Gaussian Domination
Mark Sellke
We prove the Fröhlich polaron has effective mass at least when the coupling strength is large. This nearly matches the quartic growth rate pre…
Improved Lower Bound for Frankl's Union-Closed Sets Conjecture
Ryan Alweiss, Brice Huang, Mark Sellke
We verify an explicit inequality conjectured recently by Gilmer, thus proving that for any nonempty union-closed family , some is contained in at le…
Free Energy Subadditivity for Symmetric Random Hamiltonians
Mark Sellke
We consider a random Hamiltonian defined on a compact space that admits a transitive action by a compact group . When the law of is $\mathcal…
When Does Adaptivity Help for Quantum State Learning?
Sitan Chen, Brice Huang, Jerry Li +2
We consider the classic question of state tomography: given copies of an unknown quantum state , output which is close to in some sense,…
Sampling from the Sherrington-Kirkpatrick Gibbs measure via algorithmic stochastic localization
Ahmed El Alaoui, Andrea Montanari, Mark Sellke
We consider the Sherrington-Kirkpatrick model of spin glasses at high-temperature and no external field, and study the problem of sampling from the Gibbs distribution in polyno…
The Pareto Frontier of Instance-Dependent Guarantees in Multi-Player Multi-Armed Bandits with no Communication
Allen Liu, Mark Sellke
We study the stochastic multi-player multi-armed bandit problem. In this problem, players cooperate to maximize their total reward from arms. However the players cannot…