Publications and Preprints

Attractors of sequences of iterated function systems -- submitted (arxiv link)

 

Decaying and non-decaying badly approximable numbers (with L. Fishman and D. Simmons) -- to appear in Acta Arithmetica (arxiv link)

 

Finite orbits in random subshifts of finite type -- to appear in Qual. Theory Dyn. Syst.  (arxiv link)

 

Dimension estimates for sets of uniformly badly approximable systems of linear forms (with D. Kleinbock) -- Int. J. Number Theory (arxiv link)

 

Complexity and directional entropy in two dimensions (with V. Cyr and B. Kra) -- to appear in Israel J. Math (arxiv link)

 

Badly approximable systems of affine forms and incompressibility on fractals (with L. Fishman and D. Simmons) -- J. Number Theory (arxiv link)

 

Intrinsic approximation on Cantor-like sets, a problem of Mahler (with L. Fishman and A. Reich) -- Mosc. J. Comb. Number Theory (arxiv link)

 

The set of badly approximable vectors is strongly C^1 incompressible (with L. Fishman, D. Kleinbock, A. Reich, and B. Weiss) -- Math. Proc. Cambridge Philos. Soc. (arxiv link)

 

Schmidt's game, fractals, and orbits of toral endomorphisms (with L. Fishman and D. Kleinbock) -- Ergodic Theory and Dynamical Systems (arxiv link)

 

Schmidt's game, fractals, and numbers normal to no base (with Y. Bugeaud, L. Fishman, D. Kleinbock, and B. Weiss) -- Math. Research Letters (arxiv link)