Published
Long-Range Ising Models: Contours, Phase Transitions and Decaying Fields
Lucas Affonso, Rodrigo Bissacot, Eric O. Endo, and Satoshi Handa.
Journal of the European Mathematical Society 27 (2025), no. 4, 1679–1714.
Preprints
Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising Models
Lucas Affonso, Rodrigo Bissacot, João Maia, João F. Rodrigues, and Kelvyn Welsch.
Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
Lucas Affonso, Rodrigo Bissacot, Henrique Corsini, and Kelvyn Welsch.
Phase Transition in Long-Range q-state Models via Contours: Clock and Potts Models with Fields
Lucas Affonso, Rodrigo Bissacot, Gilberto Faria, and Kelvyn Welsch.
Phase Transitions in Multidimensional Long-Range Random Field Ising Models
Lucas Affonso, Rodrigo Bissacot, and João Maia.
Quantum Statistical Mechanics via Boundary Conditions: A Groupoid Approach to Quantum Spin Systems
Lucas Affonso, Rodrigo Bissacot, and Marcelo Laca.
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