Combinatorics of a statistical model constructed from the 2 × n square lattice

B. L. Feigin*, V. V. Sopin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Various weight functions for the model of a 2×n square lattice are defined so that the graded Euler characteristic for the complex corresponding to this model remain equal to the usual one. Differentials preserving these gradings and determining one-dimensional cohomology are also specified.

Original languageEnglish
Pages (from-to)300-305
Number of pages6
JournalFunctional Analysis and its Applications
Volume51
Issue number4
DOIs
StatePublished - 1 Oct 2017
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Euler characteristic
  • grading
  • hard-square model
  • square ladder
  • square lattice
  • weight function

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