# Questions tagged [symbolic-dynamics]

Symbolic dynamics is the study of dynamical systems defined in terms of shift transformations on spaces of sequences. Examples of topics in this area include shifts of finite type, sofic shifts, Toeplitz shifts, Markov partitions and symbolic coding of dynamical systems.

**3**

**0**answers

### Description of Anderson-Putnam CW-complex construction

**0**

**0**answers

### Statistical characteristics of low complexity subshifts

**13**

**2**answers

### Open problems in symbolic dynamics

**2**

**1**answer

### Exponential mixing for subshifts

**2**

**1**answer

### Irrational rotations are rank 2 by intervals without spacers

**3**

**1**answer

### Does full shift have the local product structure?

**2**

**0**answers

### Birth of chaos due to nonautonomous perturbation

**1**

**0**answers

### When is replacing the prefix of an angled internal address a valid operation?

**1**

**0**answers

### Is there a condition for a subshift of finite type to be uniquely ergodic?

**1**

**0**answers

### Number of permitted words up to permutation in a subshift

**1**

**0**answers

### Continuity of Kneading invariants of generalised $\beta$-trasformations

**1**

**0**answers

### Is a set over which dynamics are topologically conjugate to a shift map on two symbols always repelling?

**2**

**3**answers

### The critical exponent function

**1**

**1**answer

### Lyapunov spectrum($h_{\mathrm{top}}(K(\alpha))$) achieves a positive value somewhere

**5**

**1**answer

### A unique equilibrium state which does not have Gibbs property

**6**

**0**answers

### Difficulty of homeomorphism of effective Cantor dynamics

**1**

**1**answer

### Explicit transitive flow on disc

**2**

**1**answer

### Search for a general formula from known iterative relation

**3**

**0**answers

### Confusion on the assumption when discussing the kneading invariants for unimodal maps

**3**

**2**answers

### Diophantine equation that has an infinite number of positive integers solutions

**3**

**0**answers

### Example of primitive substitution with two rationally independent eigenvalues?

**9**

**0**answers

### If $(Y,T)$ is a connected minimal system with a symbolic extension of linear word complexity, is $(Y,T)$ equicontinuous?

**1**

**1**answer

### What does the extension theorem for tilings state?

**3**

**2**answers

### Does this strong form of being almost 1-to-1 imply injectivity?

**3**

**1**answer

### Almost one-to-one endomorphism of minimal subshift?

**9**

**0**answers

### Factor map between subshifts preserving topological pressure (or measure-theoretic entropy)

**4**

**2**answers

### Minimal subshift with some $x \in X$ such that $x_{(-\infty,0)}.x_0x_0x_{(0,\infty)} \in X$?

**6**

**1**answer

### Sliding block code on irreducible sofic shift

**3**

**1**answer

### Entropy-minimal subshifts

**1**

**1**answer

### Example of connected factor of symbolic system that is not a rotation

**0**

**0**answers

### $||g_n||_{\infty} < \delta_{n-1}(g)$

**8**

**1**answer

### Connection between entropy and the set of factors of a sequence

**6**

**3**answers

### Ruelle-Perron-Frobenius theorem for shift of finite type

**2**

**0**answers

### Equivalence between Gibbs measures and conformal measures

**6**

**2**answers

### Uniqueness of "Limit" of Cyclic Binary Strings

**3**

**0**answers

### Does an asymptotic component with large size in a minimal subshift always exist?

**6**

**0**answers

### $C^{1+\epsilon}$ conjugacy of expanding map on circle

**7**

**1**answer

### Is the density of 1's in the Fibonacci word uniform?

**4**

**0**answers

### Weighted distribution of irrational rotation

**3**

**1**answer

### On Krieger's Embedding Theorem

**5**

**1**answer

### continuity entropy with respect gibbs measures

**4**

**1**answer

### Asymptotic colouring of edges and vertices, and untwisting cocycles

**3**

**1**answer

### fast algorithms for external angle computations

**3**

**1**answer

### Measures maximizing entropy in a set of measures with fixed average for some observable

**4**

**1**answer

### The continuity of the the stable and unstable in definition of hyperbolic sets for flows

**42**

**2**answers

### Can one "hear" the shape of a polygon via external reflections?

**2**

**1**answer

### Synchronised $\beta$-shifts

**3**

**1**answer

### Is it known that MLC is sufficient to prove the density of hyperbolic conjecture of rational maps (or not)

**8**

**1**answer

### The graph of Rule 110 and vertices degree

**3**

**1**answer