The majority of my work is in
areas related to Dynamical
Theory and Geometric
Measure Theory. Recently I got interested in questions related to growth of matrix
For the complete list of my
papers and preprints to date (all of which are downloadable), click here.
My research profile on Google
Scholar is here.
Here are some topics I am (or
have been) working on:
and other arithmetic representations of real numbers in non-integer bases;
- Bernoulli convolutions
and other singular measures of arithmetic nature;
- Joint spectral radius and
- Iterated function systems
(IFSs) and their applications to digital channels;
- Dimension theory;
- Pisot numbers;
- Arithmetic codings
of ergodic transformations of algebraic origin;
- Sum-of-digit functions
and other summatory functions.
An overview of some of these
topics can be found in my recent lecture course as
well as my old survey paper Arithmetic Dynamics.
I am a former student and
co-author of Anatoly Vershik.
Below is the alphabetic list of my other collaborators:
My Erdös number is 3, via
Vershik (2) and Freiman (1) – or Allouche (2) and Shallit (1).
My H-index is 15 (Google Scholar).