Asymptotic behavior of a generalized independent sets model on the two-dimensional Sierpinski gasket

DOI10.1063/5.0198753zbMath1543.37047MaRDI QIDQ6564418

Shu-Chiuan Chang, Lung-Chi Chen

Publication date: 1 July 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems involving maps of trees and graphs (37E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spanning trees on the Sierpinski gasket
• Self-avoiding paths on the pre-Sierpinski gasket
• Dimer coverings on the Sierpinski gasket
• On the number of independent sets in a tree
• Planar lattice gases with nearest-neighbor exclusion
• Percolation and the hard-core lattice gas model
• Ergodicity of the hard-core model on \(\mathbb{Z}^ 2\) with parity-dependent activities
• Nonmonotonic behavior in hard-core and Widom-Rowlinson models
• Bipartite graphs can have any number of independent sets
• On the number of perfect matchings of line graphs
• Enumeration problems for classes of self-similar graphs
• The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma
• An Entropy Approach to the Hard-Core Model on Bipartite Graphs
• The Number of Independent Sets in a Regular Graph
• Number of connected spanning subgraphs on the Sierpinski gasket
• The Number of Independent Sets in a Grid Graph
• High-dimensional lattice gases
• On Markov Chains for Independent Sets
• Hamiltonian walks on the Sierpinski gasket
• The Random-Cluster Model
• Solution of the “Problème des ménages”

This page was built for publication: Asymptotic behavior of a generalized independent sets model on the two-dimensional Sierpinski gasket