Matching Measure, Benjamini-Schramm Convergence and the Monomer-Dimer Free Energy
We define the matching measure of a lattice L as the spectral measure of the tree of self-avoiding walks in L. We connect this invariant to the monomer-dimer partition function of a sequence of finite graphs converging to L. This allows us to express the monomer-dimer free energy of L in terms of th...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US,
2016-10-20T16:57:10Z.
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| Subjects: | |
| Online Access: | Get fulltext |