Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework

zbMath1390.60344arXiv1711.08432MaRDI QIDQ4638254

Hans Chaumont, Christian Noack

Publication date: 4 May 2018

Full work available at URL: https://arxiv.org/abs/1711.08432

zbMATH Keywords

partition functionintegrable modelsscaling exponentBurke's theoremexactly solvable modelsdirected polymerfluctuation exponent

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Processes in random environments (60K37)

Related Items (10)

Determinantal structures in the \(q\)-Whittaker measure ⋮ On the stationary solutions of random polymer models and their zero-temperature limits ⋮ Uniqueness and ergodicity of stationary directed polymers on \(\mathbb{Z}^2\) ⋮ Upper tail bounds for stationary KPZ models ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Characterizing stationary \(1+1\) dimensional lattice polymer models ⋮ Fluctuation lower bounds in planar random growth models ⋮ Concentration for integrable directed polymer models ⋮ Large deviations and wandering exponent for random walk in a dynamic beta environment ⋮ Central moments of the free energy of the stationary O'Connell-Yor polymer

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