papers
Publications (27)
math.NT2017
Root sets of polynomials and power series with finite choices of coefficients
Simon Baker, Han Yu
math.NT2016
On periodic representations in non-Pisot bases
Simon Baker, Zuzana Masáková, Edita Pelantová +1
math.DS2018
On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne
Simon Baker, Derong Kong
math.DS2018
Maximising Bernoulli measures and dimension gaps for countable branched systems
Simon Baker, Natalia Jurga
math.DS2017
Entropy, topological transitivity, and dimensional properties of unique $q$-expansions
Rafael Alcaraz Barrera, Simon Baker, Derong Kong
math.NT2016
On the regularity of the generalised golden ratio function
Simon Baker, Wolfgang Steiner
math.NT2014
Approximation properties of $β$-expansions
Simon Baker
math.DS2014
On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure
Simon Baker
math.NT2015
On small bases for which $1$ has countably many expansions
Yuru Zou, Lijin Wang, Jian Lu +1
math.DS2013
On universal and periodic $β$-expansions, and the Hausdorff dimension of the set of all expansions
Simon Baker
math.NT2018
Bifurcation sets arising from non-integer base expansions
Pieter Allaart, Simon Baker, Derong Kong
math.DS2012
A multifractal zeta function for cookie cutter sets
Simon Baker
math.NT2014
Expansions in non-integer bases: lower order revisited
Simon Baker, Nikita Sidorov
math.NT2018
A General Mass Transference Principle
Demi Allen, Simon Baker
math.DS2017
Exceptional digit frequencies and expansions in non-integer bases
Simon Baker
math.NT2014
Badly approximable numbers for sequences of balls
Simon Baker
math.DS2012
Generalised golden ratios over integer alphabets
Simon Baker
math.NT2014
On the distribution of powers of real numbers modulo 1
Simon Baker
math.DS2013
On small bases which admit countably many expansions
Simon Baker
math.DS2012
The growth rate and dimension theory of beta-expansions
Simon Baker
math.DS2015
Induced Random $β$-transformation
Simon Baker, Karma Dajani
math.NT2015
Approximation properties of $β$-expansions II
Simon Baker
math.DS2014
Dynamical properties of S-gap shifts and other shift spaces
Simon Baker, Andrei E. Ghenciu
math.DS2019
Two bifurcation sets arising from the beta transformation with a hole at $0$
Simon Baker, Derong Kong
math.DS2014
On univoque points for self-similar sets
Simon Baker, Karma Dajani, Kan Jiang
math.DS2017
Numbers with simply normal $β$-expansions
Simon Baker, Derong Kong
math.DS2016
Unique expansions and intersections of Cantor sets
Simon Baker, Derong Kong