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

Research output: Contribution to journal › Article › peer-review

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

Keywords

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

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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",

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AU - Feigin, B. L.

AU - Sopin, V. V.

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N2 - 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.

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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DO - 10.1007/s10688-017-0196-x

M3 - مقالة

SN - 0016-2663

VL - 51

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JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

IS - 4

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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