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67 papers · 1 filter
Random Martingales and localization of maximal inequalities
Assaf Naor, Terence Tao
Let be a metric measure space. For consider the Hardy-Littlewood maximal operator $$ M_R f(x) \stackrel{\mathrm{def}}{=} \sup_{r \in…
Buoyancy statistics in moist turbulent Rayleigh-Benard convection
Joerg Schumacher, Olivier Pauluis
We study shallow moist Rayleigh-Benard convection in the Boussinesq approximation in three-dimensional direct numerical simulations. The thermodynamics of phase changes is approxim…
Integral points of bounded height on partial equivariant compactifications of vector groups
Antoine Chambert-Loir, Yuri Tschinkel
We establish asymptotic formulas for the number of integral points of bounded height on partial equivariant compactifications of vector groups.
Bistability in Apoptosis by Receptor Clustering
Kenneth L. Ho, Heather A. Harrington
Apoptosis is a highly regulated cell death mechanism involved in many physiological processes. A key component of extrinsically activated apoptosis is the death receptor Fas, which…
Uniqueness of Ground States for Short-Range Spin Glasses in the Half-Plane
Louis-Pierre Arguin, Michael Damron, Charles Newman +1
We consider the Edwards-Anderson Ising spin glass model on the half-plane with zero external field and a wide range of choices, including mean zero Gaussian, for the…
A integrality gap for the Sparsest Cut SDP
Jeff Cheeger, Bruce Kleiner, Assaf Naor
We show that the Goemans-Linial semidefinite relaxation of the Sparsest Cut problem with general demands has integrality gap . This is achieved by exhibiting -p…