Lior Fishman

activity

20062026

most citedThe set of badly approximable vectors is strongly

C^{1}

incompressible

83 citations · 293 across the 29 of their papers we have counts for

collaborators

Showing 2014Show all

5 papers · 1 filter

math.DS2014★ 1 cited

Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions

Lior Fishman, Bill Mance, David Simmons +1

We provide a closed formula of Bowen type for the Hausdorff dimension of a very general shrinking target scheme generated by the non-autonomous dynamical system on the interval $[0…

math.DS2014

Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind

Lior Fishman, David Simmons, Mariusz Urbański

We consider the relation between geometrically finite groups and their limit sets in infinite-dimensional hyperbolic space. Specifically, we show that a rigidity theorem of Susskin…

math.NT2014

Extrinsic Diophantine approximation on manifolds and fractals

Lior Fishman, David Simmons

Fix $d \in N$ , and let $S \subseteq R^{d}$ be either a real-analytic manifold or the limit set of an iterated function system (for example, $S$ could be the Cantor set or…

math.NT2014

Intrinsic Diophantine approximation on quadric hypersurfaces

Lior Fishman, Dmitry Kleinbock, Keith Merrill +1

We consider the question of how well points in a quadric hypersurface $M \subset R^{d}$ can be approximated by rational points of $Q^{d} \cap M$ . This contrasts with the m…

math.NT2014

Unconventional height functions in simultaneous Diophantine approximation

Lior Fishman, David Simmons

Simultaneous Diophantine approximation is concerned with the approximation of a point $x \in R^{d}$ by points $r \in Q^{d}$ , with a view towards jointly min…