Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highly irregular orbits for subshifts of finite type: large
  intersections and emergence   In their recent paper [KNS2019], the first author, S. Kiriki, and T. Soma
introduced a concept of pointwise emergence to measure the complexity of
irregular orbits. They constructed a residual subset of the full shift with
high pointwise emergence. In this paper we consider the set of points with high
pointwise emergence for topologically mixing subshifts of finite type. We show
that this set has full topological entropy, full Hausdorff dimension, and full
topological pressure for any H\"older continuous potential. Furthermore, we
show that this set belongs to a certain class of sets with large intersection
property. This is a natural generalization of [FP2011] to pointwise emergence
and Carath\'eodory dimension.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess