Add to ORKGThe topological entropy of a subshift is the exponential growth rate of the number of words of different lengths in its language. For subshifts of entropy zero, finer growth invariants constrain their dynamical properties. In this talk we will survey how the complexity of a subshift affects properties of the ergodic measures it carries. In particular, we will see some recent results (joint with B. Kra) relating the word complexity of a subshift to its set of ergodic measures as well as some applications.Non UBCUnreviewedAuthor affiliation: Bucknell UniversityResearche
In this work, we treat subshifts, defined in terms of an alphabet A and (usually infinite) forbidden...
We study how statistical complexity depends on the system size and how the complexity of the whole s...
A measure called physical complexity is established and calculated for a population of sequences, ba...
The topological entropy of a subshift is the exponential growth rate of the number of words of diffe...
Let d be a positive integer. Let G be the additive monoid Nd or the additive group Zd. Let A be a fi...
28 pages, 1 table, 5 figures. Submitted to Discrete and Continuous Dynamical SystemsWe study the dif...
We prove several results about the relationship between the word complexity function of a subshift a...
Measuring the complexity of dynamical systems is important in order to classify them and better unde...
Since seminal work of Bowen[2], it has been known that the specification property implies various us...
AbstractWe consider continuous self-maps of compact metric spaces, and for each point of the space w...
This thesis is dedicated to studying the theory of entropy and its relation to the Kolmogorov comple...
The notion of topological entropy dimension for a Z -action has been introduced to measure the ...
The notion of topological entropy dimension for a Z -action has been introduced to measure the ...
Based on previous work of the authors, to any $S$-adic development of a subshift $X$ a "directive se...
There is no single universally accepted definition of `Complexity'. There are several perspectives o...
In this work, we treat subshifts, defined in terms of an alphabet A and (usually infinite) forbidden...
We study how statistical complexity depends on the system size and how the complexity of the whole s...
A measure called physical complexity is established and calculated for a population of sequences, ba...
The topological entropy of a subshift is the exponential growth rate of the number of words of diffe...
Let d be a positive integer. Let G be the additive monoid Nd or the additive group Zd. Let A be a fi...
28 pages, 1 table, 5 figures. Submitted to Discrete and Continuous Dynamical SystemsWe study the dif...
We prove several results about the relationship between the word complexity function of a subshift a...
Measuring the complexity of dynamical systems is important in order to classify them and better unde...
Since seminal work of Bowen[2], it has been known that the specification property implies various us...
AbstractWe consider continuous self-maps of compact metric spaces, and for each point of the space w...
This thesis is dedicated to studying the theory of entropy and its relation to the Kolmogorov comple...
The notion of topological entropy dimension for a Z -action has been introduced to measure the ...
The notion of topological entropy dimension for a Z -action has been introduced to measure the ...
Based on previous work of the authors, to any $S$-adic development of a subshift $X$ a "directive se...
There is no single universally accepted definition of `Complexity'. There are several perspectives o...
In this work, we treat subshifts, defined in terms of an alphabet A and (usually infinite) forbidden...
We study how statistical complexity depends on the system size and how the complexity of the whole s...
A measure called physical complexity is established and calculated for a population of sequences, ba...