A new class of cellular automata with a discontinuous transition

2005/12/15 by Cristina Toninelli, Giulio Biroli, Toninelli, Cristina +1
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.cond-mat/0512335

This paper has been withdrawn. arXiv:0709.0378 presents the correct rigorous analysis for a similar model

openalex publication_date 2005/12/15 · arxiv created 2007/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper has been withdrawn by the authors due to a mistake in the proof and a corresponding incorrect result. A correct rigorous analysis of a similar model is presented in ``Spiral Model: a cellular automaton with a discontinuous glass transition'', arXiv:0709.0378.

Citations

• Spiral Model: a cellular automaton with a discontinuous glass transition
• Bootstrap percolation on a Bethe lattice
• Non-equilibrium critical phenomena and phase transitions into absorbing states

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