Asymptotics of a class of solutions to the cylindrical Toda equations

DOI10.1007/s002200050257zbMath0907.35125arXivsolv-int/9701003OpenAlexW3102950362WikidataQ56950676 ScholiaQ56950676MaRDI QIDQ1270325

Craig A. Tracy, Harold Widom

Publication date: 4 March 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9701003

zbMATH Keywords

resolventexplicit integral formulasWiener-Hopf operatorscylindrical Toda equations

Mathematics Subject Classification ID

Related Items (12)

Symplectic aspects of the tt^*-Toda equations ⋮ Exact asymptotic expansions for the cylindrical Poisson–Boltzmann equation ⋮ Renormalization of a hard-core guest charge immersed in a two-dimensional electrolyte ⋮ Short distance asymptotics of Ising correlations ⋮ Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ Short distance asymptotics for a generalized two-point scaling function in the two-dimensional Ising model ⋮ A short note on the scaling function constant problem in the two-dimensional Ising model ⋮ Guest charges in an electrolyte: renormalized charge, long- and short-distance behavior of the electric potential and density profiles ⋮ Expectation values of descendent fields in the Bullough-Dodd model and related perturbed conformal field theories ⋮ Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem ⋮ Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics

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