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

B. L. Feigin; V. V. Sopin

doi:10.1007/s10688-017-0196-x

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 journal › Article › peer-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 language	English
Pages (from-to)	300-305
Number of pages	6
Journal	Functional Analysis and its Applications
Volume	51
Issue number	4
DOIs	https://doi.org/10.1007/s10688-017-0196-x
State	Published - 1 Oct 2017
Externally published	Yes

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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10.1007/s10688-017-0196-x

Cite this

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title = "Combinatorics of a statistical model constructed from the 2 × n square lattice",

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.",

keywords = "Euler characteristic, grading, hard-square model, square ladder, square lattice, weight function",

author = "Feigin, \{B. L.\} and Sopin, \{V. V.\}",

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AB - 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.

KW - Euler characteristic

KW - grading

KW - hard-square model

KW - square ladder

KW - square lattice

KW - weight function

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

Abstract

Bibliographical note

Keywords

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Other files and links

Fingerprint

Комбинаторика статистической модели, построенной по квадратной решетке размера 2 × n

Cite this

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

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

Комбинаторика статистической модели, построенной по квадратной решетке размера 2 × n

Cite this