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papers

Publications (29)

math.NT2017

Hausdorff dimensions of very well intrinsically approximable subsets of quadratic hypersurfaces

Lior Fishman, Keith Merrill, David Simmons

math.NT2016

Diophantine approximation in Banach spaces

Lior Fishman, David S. Simmons, Mariusz Urbański

math.NT2015

The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

Lior Fishman, Vanessa Reams, David Simmons

math.NT2011

The set of badly approximable vectors is strongly $C^1$ incompressible

Ryan Broderick, Lior Fishman, Dmitry Kleinbock +2

math.NT2011

Intrinsic Approximation on Cantor-like Sets, a Problem of Mahler

Ryan Broderick, Lior Fishman, Asaf Reich

math.NT2015

Extrinsic Diophantine approximation on manifolds and fractals

Lior Fishman, David Simmons

math.DS2011

Diophantine approximations on fractals

Manfred Einsiedler, Lior Fishman, Uri Shapira

math.GN2018

Equivalence of the Rothberger and $2$-Rothberger Games for Hausdorff Spaces

Logan Crone, Lior Fishman, Nathaniel Hiers +1

math.DS2018

Schmidt's game, fractals, and numbers normal to no base

Ryan Broderick, Yann Bugeaud, Lior Fishman +2

math.DS2017

Badly approximable points on self-affine sponges and the lower Assouad dimension

Tushar Das, Lior Fishman, David Simmons +1

math.NT2016

Intrinsic Diophantine approximation on manifolds: General theory

Lior Fishman, Dmitry Kleinbock, Keith Merrill +1

math.DS2014

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

Lior Fishman, Bill Mance, David Simmons +1

math.NT2010

Schmidt's Game on Certain Fractals

Lior Fishman

math.CO2016

Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals

Lior Fishman, Keith Merrill, David Simmons

math.NT2008

Schmidt's game, Badly Approximable Linear Forms and Fractals

Lior Fishman

math.MG2017

Quantitative results using variants of Schmidt's game: Dimension bounds, arithmetic progressions, and more

Ryan Broderick, Lior Fishman, David Simmons

math.NT2012

Badly Approximable Systems of Affine Forms and Incompressibility on Fractals

Ryan Broderick, Lior Fishman, David Simmons

math.LO2017

Determinacy of Schmidt's Game and Other Intersection Games

Logan Crone, Lior Fishman, Stephen Jackson

math.DS2017

Extremality and dynamically defined measures, part I: Diophantine properties of quasi-decaying measures

Tushar Das, Lior Fishman, David Simmons +1

math.NT2014

Intrinsic approximation for fractals defined by rational iterated function systems - Mahler's research suggestion

Lior Fishman, David Simmons

math.NT2016

Badly approximable vectors and fractals defined by conformal dynamical systems

Tushar Das, Lior Fishman, David Simmons +1

math.NT2016

Unconventional height functions in simultaneous Diophantine approximation

Lior Fishman, David Simmons

math.NT2015

Variations on Dirichlet's theorem

Lior Fishman, David Simmons

math.DS2015

Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces

Lior Fishman, David S. Simmons, Mariusz Urbański

math.NT2016

Decaying and non-decaying badly approximable numbers

Ryan Broderick, Lior Fishman, David Simmons

math.NT2014

Diophantine properties of measures invariant with respect to the Gauss map

Lior Fishman, David Simmons, Mariusz Urbanski

math.DS2018

Schmidt's game, fractals, and orbits of toral endomorphisms

Ryan Broderick, Lior Fishman, Dmitry Kleinbock

math.DS2014

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

Lior Fishman, David Simmons, Mariusz Urbański

math.LO2013

Determinacy and indeterminacy of games played on complete metric spaces

Lior Fishman, Tue Ly, David S. Simmons