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Dimers and circle patterns Ramassamy, Sanjay
Description
In this talk I will describe a correspondence between dimer model on planar bipartite graphs and circle pattern embedding of these graphs, that is, embeddings of these graphs so that each face is cyclic. This correspondence is the key for studying Miquel dynamics, a discrete integrable system on circle patterns. Time permitting, I will explain how Tutte embeddings for resistor networks and s-embeddings for Ising models arise as special cases. This is joint work with Richard Kenyon (Yale University), Wai Yeung Lam (University of Luxembourg) and Marianna Russkikh (MIT).
Item Metadata
Title |
Dimers and circle patterns
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-11-20T10:32
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Description |
In this talk I will describe a correspondence between dimer model on
planar bipartite graphs and circle pattern embedding of these graphs,
that is, embeddings of these graphs so that each face is cyclic. This
correspondence is the key for studying Miquel dynamics, a discrete
integrable system on circle patterns. Time permitting, I will explain
how Tutte embeddings for resistor networks and s-embeddings for Ising
models arise as special cases.
This is joint work with Richard Kenyon (Yale University), Wai Yeung Lam
(University of Luxembourg) and Marianna Russkikh (MIT).
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Extent |
55.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: CNRS / CEA Saclay
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Series | |
Date Available |
2020-05-19
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0390906
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Other
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International