English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This is a continuation of the paper [4] of Bleher and Fokin, in which thelarge $n$ asymptotics is obtained for the partition function $Z_n$ of thesix-vertex model with domain wall boundary conditions in the disordered phase.In the present paper we obtain the large $n$ asymptotics of $Z_n$ in theferroelectric phase. We prove that for any $\ep>0$, as $n\to\infty$,$Z_n=CG^nF^{n^2}[1+O(e^{-n^{1-\ep}})]$, and we find the exact value of theconstants $C,G$ and $F$. The proof is based on the large $n$ asymptotics forthe underlying discrete orthogonal polynomials and on the Toda equation for thetau-function.

Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase