Confinement of Brownian polymers under geometric area tilts

DOI10.1214/19-EJP283zbMath1466.60068arXiv1809.03209MaRDI QIDQ2631863

Vitali Wachtel, Pietro Caputo, Dimitry Ioffe

Publication date: 16 May 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.03209

zbMATH Keywords

Brownian polymersnon-intersecting Brownian bridgesDyson-Ferrari-Spohn diffusiongeometric area tiltslimiting line ensembles

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Functional limit theorems; invariance principles (60F17)

Related Items (max. 100)

Critical prewetting in the 2d Ising model ⋮ Geometrical optics of constrained Brownian motion: three short stories ⋮ Asymptotics of noncolliding q-exchangeable random walks ⋮ Scaling limit for line ensembles of random walks with geometric area tilts ⋮ Spatial tightness at the edge of Gibbsian line ensembles ⋮ Characterization of \(H\)-Brownian Gibbsian line ensembles ⋮ Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts ⋮ KPZ equation correlations in time ⋮ Constrained non-crossing Brownian motions, fermions and the Ferrari–Spohn distribution ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ The Airy₂ process and the 3D Ising model

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