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Main Authors:	Affonso, Lucas, Bissacot, Rodrigo, Maia, João
Format:	Preprint
Published:	2023
Subjects:	Mathematical Physics Statistical Mechanics Probability 82Bxx, 82B44, 82B05, 82B26, 60k35
Online Access:	https://arxiv.org/abs/2307.14150
Tags:	Add Tag No Tags, Be the first to tag this record!

Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
by: Affonso, Lucas, et al.
Published: (2024)

Phase Transition in Long-Range $q-$state Models via Contours. Clock and Potts Models with Fields
by: Affonso, Lucas, et al.
Published: (2024)

Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range
by: Maia, João
Published: (2024)

Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising Models
by: Affonso, Lucas, et al.
Published: (2025)

Phase transitions in low-dimensional long-range random field Ising models
by: Ding, Jian, et al.
Published: (2024)

Consensus effects of social media synthetic influence groups on scale-free networks
by: Porciúncula, Giuliano G., et al.
Published: (2024)

Ising model on a Galton-Watson tree with a sparse random external field
by: Ventura, Irene Ayuso, et al.
Published: (2023)

The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
by: Chen, Yejia, et al.
Published: (2025)

From logarithmic delocalization of the six-vertex height function under sloped boundary conditions to weakened crossing probability estimates for the Ashkin-Teller, generalized random-cluster, and $(q_σ,q_τ)$-cubic models
by: Rigas, Pete
Published: (2022)

The tail distribution of the partition function for directed polymer in the weak disorder phase
by: Junk, Stefan, et al.
Published: (2024)

Operator formalism for discretely holomorphic parafermions of the two-color Ashkin-Teller, loop $\mathrm{O} ( 1 )$, staggered eight-vertex, odd eight-vertex, and abelian sandpile models
by: Rigas, Pete
Published: (2023)

Potts and random cluster measures on locally regular-tree-like graphs
by: Basak, Anirban, et al.
Published: (2023)

Replica symmetry breaking in multi-species Sherrington-Kirkpatrick model
by: Bates, Erik, et al.
Published: (2018)

The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
by: Hansen, Ulrik Thinggaard, et al.
Published: (2023)

Metastability of Glauber dynamics with inhomogeneous coupling disorder
by: Bovier, Anton, et al.
Published: (2022)

A Cluster Expansion and the Decay of Correlations of the 1D Long-Range Ising Model at Low Temperatures
by: Bissacot, Rodrigo, et al.
Published: (2026)

Non-coincidence of critical points for directed polymers on supercritical percolation clusters
by: Cottini, Francesca, et al.
Published: (2025)

A General Coupling for Ising Models and Beyond
by: Hansen, Ulrik Thinggaard, et al.
Published: (2025)

On Long Range Ising Models with Random Boundary Conditions
by: Endo, Eric O., et al.
Published: (2024)

The Ising model: Highlights and perspectives
by: Kuelske, Christof
Published: (2025)

Metastability for the Curie-Weiss-Potts model with unbounded random interactions
by: Dubbeldam, Johan L. A., et al.
Published: (2025)

Thermodynamic Formalism of Stochastic Equilibrium Economics
by: Nummelin, Esa, et al.
Published: (2026)

Non-uniqueness of phase transitions for graphical representations of the Ising model on tree-like graphs
by: Hansen, Ulrik Thinggaard, et al.
Published: (2024)

Emergence of metastability on the hyperbolic lattice: Effects of boundary conditions
by: Jacquier, Vanessa, et al.
Published: (2025)

Hypergraph Counting and Mixed $p$-Spin Glass Models under Replica Symmetry
by: Dey, Partha S., et al.
Published: (2022)

Deterministic scale-invariant dynamics in a logistic Game-of-Life model
by: Akgun, Hakan, et al.
Published: (2024)

Estimate of the exit time for the Long Range Ising model on random regular graphs
by: Jacquier, Vanessa
Published: (2025)

The Random Walk Pinning Model I: Lower bounds on the free energy and disorder irrelevance
by: Berger, Quentin, et al.
Published: (2025)

The Random Walk Pinning Model II: Upper bounds on the free energy and disorder relevance
by: Berger, Quentin, et al.
Published: (2025)

The Supercritical Loop O(1) and Random Current models: Uniqueness and Mixing
by: Hansen, Ulrik Thinggaard, et al.
Published: (2026)

Macroscopic loops in the loop O(n) model via the XOR trick
by: Crawford, Nicholas, et al.
Published: (2020)

The random field Ising chain domain-wall structure in the large interaction limit
by: Collin, Orphée, et al.
Published: (2024)

A Hopf-like formula for mean-field spin glass models
by: Issa, Victor
Published: (2024)

Exploring Metastability in Ising models: critical droplets, energy barriers and exit time
by: Jacquier, Vanessa
Published: (2025)

Long-range order in discrete spin systems
by: Peled, Ron, et al.
Published: (2020)

Maximum of the Gaussian interface model in random external fields
by: Sakagawa, Hironobu
Published: (2023)

Absence of weak disorder for directed polymers on supercritical percolation clusters
by: Nitzschner, Maximilian
Published: (2022)

Imry-Ma phenomenon for the hard-core model on $\mathbb{Z}^{2}$
by: Ventura, Irene Ayuso, et al.
Published: (2026)

A-localized states for clock models on trees and their extremal decomposition into glassy states
by: Kuelske, Christof, et al.
Published: (2024)

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