Statistical mechanics of surjective cellular automata
DOI10.1007/s10955-015-1281-2zbMath1360.37044arXiv1311.2319OpenAlexW2098238426WikidataQ59429660 ScholiaQ59429660MaRDI QIDQ887083
Publication date: 28 October 2015
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.2319
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical aspects of cellular automata (37B15) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical aspects of statistical mechanics (37A60)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Markov random fields, Markov cocycles and the 3-colored chessboard
- Homogeneity of surjective cellular automata
- Ergodic properties and thermodynamic behavior of elementary reversible cellular automata. I. Basic properties.
- Laws of large numbers for a cellular automaton
- Higher-dimensional subshifts of finite type, factor maps and measures of maximal entropy.
- Invertible cellular automata: A review
- Relaxation properties of elementary reversible cellular automata
- Right-permutative cellular automata on topological Markov chains
- An equilibrium state for a one-dimensional life game
- Additive conserved quantities in discrete-time lattice dynamical systems
- Gibbs measures and phase transitions
- Transformations of Gibbs measures
- On Cesàro limit distribution of a class of permutative cellular automata
- Amenable groups and cellular automata
- Reversibility and surjectivity problems of cellular automata
- Rice's theorem for the limit sets of cellular automata
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- Number conserving cellular automata. II: Dynamics.
- Uniform Bernoulli measure in dynamics of permutative cellular automata with algebraic local rules
- Some properties of cellular automata with equicontinuity points
- On the hierarchy of conservation laws in a cellular automaton
- Invariant measures for bipermutative cellular automata
- Theory of cellular automata: a survey
- Stationary measures for automaton rules 90 and 150
- Cellular automata and strongly irreducible shifts of finite type.
- Number-conserving cellular automata I: Decidability.
- On conservative and monotone one-dimensional cellular automata and their particle representation
- Convergence under \(\times_q\) of \(\times_p\) invariant measures on the circle
- Probabilistic cellular automata and random fields with i.i.d. directions
- Continuity of information transport in surjective cellular automata
- Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
- Potentials for almost Markovian random fields
- One-dimensional Markov random fields, Markov chains and topological Markov fields
- Rice’s Theorem for μ-Limit Sets of Cellular Automata
- Revisiting the Rice Theorem of Cellular Automata
- Stationary measures and phase transition for a class of Probabilistic Cellular Automata
- Information Theory and Statistical Mechanics
- Invariant in cellular automata
- Constant-to-one and onto global maps of homomorphisms between strongly connected graphs
- Cellular Automata and Groups
- Topological chaos: what may this mean?
- Statistical mechanics of cellular automata
- Cellular automaton rules conserving the number of active sites
- Endomorphisms of irreducible subshifts of finite type
- Condition for injectivity of global maps for tessellation automata
- Languages, equicontinuity and attractors in cellular automata
- Limit measures for affine cellular automata II
- Textile systems for endomorphisms and automorphisms of the shift
- Cesàro mean distribution of group automata starting from measures with summable decay
- Limit measures for affine cellular automata
- Conservation laws in cellular automata
- Thermodynamic Formalism
- An Introduction to Symbolic Dynamics and Coding
- Transitive Cellular Automata are Sensitive
- Gibbs and equilibrium measures for some families of subshifts
- Shorter Note: The Converse of Moore's Garden-of-Eden Theorem
- Asymptotic randomization of sofic shifts by linear cellular automata
- Measure rigidity for algebraic bipermutative cellular automata
- Endomorphisms and automorphisms of the shift dynamical system
- LI-Yorke sensitivity and other concepts of chaos
- On Ising's model of ferromagnetism
- Ergodic sets
This page was built for publication: Statistical mechanics of surjective cellular automata