• Corpus ID: 119330293

Weak Gibbs and Equilibrium Measures for Shift Spaces

  title={Weak Gibbs and Equilibrium Measures for Shift Spaces},
  author={C. E. Pfister and Wayne G. Sullivan},
  journal={arXiv: Dynamical Systems},
For a large class of irreducible shift spaces $X\subset\tA^{\Z^d}$, with $\tA$ a finite alphabet, and for absolutely summable potentials $\Phi$, we prove that equilibrium measures for $\Phi$ are weak Gibbs measures. In particular, for $d=1$, the result holds for irreducible sofic shifts. 
1 Citations
Additive, Almost Additive and Asymptotically Additive Potential Sequences Are Equivalent
  • N. Cuneo
  • Mathematics, Physics
    Communications in Mathematical Physics
  • 2020
Motivated by various applications and examples, the standard notion of potential for dynamical systems has been generalized to almost additive and asymptotically additive potential sequences, and the


Weak Gibbs measures and large deviations
Let (X,T) be a dynamical system, where X is a compact metric space and T a continuous onto map. For weak Gibbs measures we prove large deviations estimates.
Introduction to Ergodic Theory
Ergodic theory concerns with the study of the long-time behavior of a dynamical system. An interesting result known as Birkhoff’s ergodic theorem states that under certain conditions, the time