From the 1 of 23 linked papers with an AI index.
10 papers · 1 filter
A Counterexample to the Gaussian Completely Monotone Conjecture
Yuzhou Gu, Mark Sellke
We provide an explicit probability measure on for which the fifth time derivative of the entropy along the heat flow is positive at some time. This disproves the Gauss…
On Anti-Confinement Estimates for Self-Repelling Random Walks
Tobias Schmidt, Mark Sellke
We study a class of -dimensional random walks, including the two-dimensional simple random walk, reweighted by a self-repelling Gibbsian pair potential. We prove lower bounds on…
Exponentially Slow Mixing of the Low Temperature SK Model
Mark Sellke
We give a short proof that low-temperature dynamics for the Sherrington-Kirkpatrick model have mixing time exponential in the system size, based on the recently proved existence of…
Sub-diffusive regimes for long range self-interacting path measures
Volker Betz, Tobias Schmidt, Mark Sellke
We study Brownian motion perturbed by a long range self-interaction. We provide variance bounds in terms of the spatial interaction strength and the order of time decay.
Universality of Cutoff for Riffle Shuffling
Mark Sellke, Jialu Shi, Jiamin Wang
A Gilbert-Shannon-Reeds (GSR) shuffle is performed on a deck of cards by cutting the top cards and interleaving the two resulting piles uniformly at random.…
On Marginal Stability in Low Temperature Spherical Spin Glasses
Mark Sellke
We show marginal stability of near-ground states in spherical spin glasses is equivalent to full replica symmetry breaking at zero temperature near overlap . This connection has…