Tail decay for the distribution of the endpoint of a directed polymer

DOI10.1088/0951-7715/26/5/1449zbMath1268.82045arXiv1212.3816OpenAlexW2140165772MaRDI QIDQ4924185

Karl Liechty, Thomas Bothner

Publication date: 30 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3816

zbMATH Keywords

Painlevé equationRiemann-Hilbert problemIsing modeldirected polymer\(\mathrm{Airy}_2\)-process

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (5)

Airy Processes and Variational Problems ⋮ Midpoint distribution of directed polymers in the stationary regime: exact result through linear response ⋮ The endpoint distribution of directed polymers ⋮ TASEP on a ring in sub-relaxation time scale ⋮ Multiplicative functionals on ensembles of non-intersecting paths

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