Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
About this item
Full title
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
Author / Creator
Journal title
Probability theory and related fields, 2023-10, Vol.187 (1-2), p.259-315
Language
English
Formats
More information
Scope and Contents
Contents
We study random domino tilings of the Aztec diamond with a biased
$$2 \times 2$$
2
×
2
periodic weight function and associate a linear flow on an elliptic curve to this model. Our main result is a double integral formula for the correlation kernel, in which the integrand is expressed in terms of this flow. For special choices of para...
Alternative Titles
Full title
Biased $$2 \times 2$$ periodic Aztec diamond and an elliptic curve
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_crossref_citationtrail_10_1007_s00440_023_01195_8
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_citationtrail_10_1007_s00440_023_01195_8
Other Identifiers
ISSN
0178-8051
E-ISSN
1432-2064
DOI
10.1007/s00440-023-01195-8
How to access this item
Log in as a Library member
