Entropic repulsion for the free field: Pathwise characterization in \(d\geq 3\)
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Publication:1961084
DOI10.1007/s002200050713zbMath0951.60091OpenAlexW2095165585MaRDI QIDQ1961084
Giambattista Giacomin, Jean-Dominique Deuschel
Publication date: 13 December 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002200050713
Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (20)
Entropic repulsion and the maximum of the two-dimensional harmonic crystal. ⋮ Entropic repulsion for massless fields. ⋮ The disordered lattice free field pinning model approaching criticality ⋮ Entropic repulsion for the high dimensional Gaussian lattice field between two walls ⋮ Behavior of the lattice Gaussian free field with weak repulsive potentials ⋮ The dynamic of entropic repulsion ⋮ Entropic repulsion for the Gaussian free field conditioned on disconnection by level-sets ⋮ Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor ⋮ A branching random walk in the presence of a hard wall ⋮ A note on the discrete Gaussian free field with disordered pinning on \(\mathbb Z^d\), \(d\geq 2\) ⋮ Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger ⋮ Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger ⋮ The serial harness interacting with a wall ⋮ Extremes of the discrete two-dimensional Gaussian free field ⋮ Disconnection and entropic repulsion for the harmonic crystal with random conductances ⋮ Probability to be positive for the membrane model in dimensions 2 and 3 ⋮ Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection ⋮ On the radius of Gaussian free field excursion clusters ⋮ Wall repulsion and mutual interface repulsion: a harmonic crystal model in high dimensions.
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