Fluctuation estimates for sub-quadratic gradient field actions

DOI10.1063/1.4747194zbMath1278.82057OpenAlexW2043999580MaRDI QIDQ2872267

Thomas Spencer, David C. Brydges

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fa342a14d171b3b54d8a999b5826b43c25f8d5a0

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Green's functions for elliptic equations (35J08)

Related Items (6)

Harnack inequalities on weighted graphs and some applications to the random conductance model ⋮ Concentration inequalities for log-concave distributions with applications to random surface fluctuations ⋮ Phase transitions for a class of gradient fields ⋮ Models of gradient type with sub-quadratic actions ⋮ Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday ⋮ Invariance principle for the random conductance model in a degenerate ergodic environment

Cites Work

• Scaling limit for a class of gradient fields with nonconvex potentials
• Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• The Grassmann-Berezin calculus and theorems of the matrix-tree type
• Unnamed Item

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