Nikita Sidorov's papers


Infinitely generated self-similar sets with positive Lebesgue measure and empty interior (with S. Baker) (version June 2, 2018), submitted.

Open maps: small and large holes with unusual properties (with K. G. Hare) (version June 21, 2018), to appear in DCDS.

A lower bound for the dimension of Bernoulli convolutions (with K. G. Hare) (final version March 1, 2017), to appear in Exp. Math.

Recent papers:

The baker's map with a convex hole (with L. Clark and K. G. Hare), Nonlinearity 31 (2018), 3174-3202.

On a family of self-affine sets: topology, uniqueness, simultaneous expansions (with K. G. Hare), Ergodic Theory Dynam. Systems 37 (2017), 193-227.

Two-dimensional self-affine sets with interior points, and the set of uniqueness (with K. G. Hare), Nonlinearity 29 (2016), 1-26.

Multidimensional self-affine sets: non-empty interior and the set of uniqueness (with K. G. Hare), Studia Math. 229 (2015), 223-232.

The doubling map with asymmetrical holes (with P. Glendinning), Ergodic Theory Dynam. Systems 35 (2015), 1208-1228.

On cycles for the doubling map which are disjoint from an interval (with K. G. Hare), Monatsh. Math. 175 (2014), 347-365.

Expansions in non-integer bases: lower order revisited (with S. Baker), Integers 14 (2014), Paper #A57.

Supercritical holes for the doubling map, Acta Math. Hung. 143 (2014), 298-312.

Extremal sequences of polynomial complexity (with K. G. Hare and I. D. Morris), Math. Proc. Camb. Phil. Soc. 155 (2013), 191-205.

On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices (with I. D. Morris), J. Eur. Math. Soc. (JEMS) 15 (2013), 1747-1782.

Older papers: click here


Arithmetic Dynamics, in `Topics in Dynamics and Ergodic Theory', LMS Lecture Notes Ser. 310 (2003), 145-189. 

Optimizing Properties of Balanced Words, an extended abstract of my talk for the 8th International Conference WORDS 2011, Electr. Proc. Theoret. Comp. Sci. 63 (2011), 240-246.

Lecture notes:

Expansions in non-integer bases, a graduate course taught in July, 2010 at the Summer school at Queen Mary, University of London.