Higher-order Airy scaling in deformed Dyck paths

DOI10.1007/s10955-016-1708-4zbMath1375.82021arXiv1606.06983OpenAlexW3100701590WikidataQ59615061 ScholiaQ59615061MaRDI QIDQ2628654

Nils Haug, Adri B. Olde Daalhuis, Thomas Prellberg

Publication date: 2 June 2017

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

Full work available at URL: https://arxiv.org/abs/1606.06983

zbMATH Keywords

phase transitionexactly solvable modelsvesiclesmulticritical point

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) 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) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (1)

Multicritical scaling in a lattice model of vesicles

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mellin transforms and asymptotics: Finite differences and Rice's integrals
• Combinatorial aspects of continued fractions
• Lattice animals and heaps of dimers
• Area-width scaling in generalised Motzkin paths
• Scaling function and universal amplitude combinations for self-avoiding polygons
• The asymptotic behaviour of Pearcey’s integral for complex variables
• Exact scaling functions for self-avoiding loops and branched polymers
• Uniform q-series asymptotics for staircase polygons
• Uniform asymptotics of area-weighted Dyck paths

This page was built for publication: Higher-order Airy scaling in deformed Dyck paths