Publications (39)
Hausdorff dimensions of very well intrinsically approximable subsets of quadratic hypersurfaces
Lior Fishman, Keith Merrill, David Simmons
Dimension rigidity in conformal structures
Tushar Das, David Simmons, Mariusz UrbaÅski
A Hausdorff measure version of the JarnÃk--Schmidt theorem in Diophantine approximation
David Simmons
The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
Tushar Das, David Simmons
The Quantum Theil Index: Characterizing Graph Centralization using von Neumann Entropy
David Simmons, Justin Coon, Animesh Datta
The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game
Lior Fishman, Vanessa Reams, David Simmons
New examples of complete sets, with connections to a Diophantine theorem of Furstenberg
Vitaly Bergelson, David Simmons
A general principle for Hausdorff measure
Mumtaz Hussain, David Simmons
Geometric Limits of Julia Sets with Parameters on the Circle
Scott R. Kaschner, Reaper Romero, David Simmons
Capacity and Power Scaling Laws for Finite Antenna MIMO Amplify-and-Forward Relay Networks
David Simmons, Justin P. Coon, Naqueeb Warsi
Extrinsic Diophantine approximation on manifolds and fractals
Lior Fishman, David Simmons
Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points
Victor Beresnevich, Anish Ghosh, David Simmons +1
Random walks on homogeneous spaces and diophantine approximation on fractals
David Simmons, Barak Weiss
Random Iteration of Rational Functions
David Simmons
Quantum Enhanced Classical Sensor Networks
David Simmons, Justin Coon, Animesh Datta
On interpreting Patterson--Sullivan measures of geometrically finite groups as Hausdorff and packing measures
David Simmons
Badly approximable points on self-affine sponges and the lower Assouad dimension
Tushar Das, Lior Fishman, David Simmons +1
Intrinsic Diophantine approximation on manifolds: General theory
Lior Fishman, Dmitry Kleinbock, Keith Merrill +1
Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions
Lior Fishman, Bill Mance, David Simmons +1
Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals
Lior Fishman, Keith Merrill, David Simmons
Tukia's isomorphism theorem in CAT(-1) spaces
Tushar Das, David Simmons, Mariusz UrbaÅski
The Hausdorff measure version of Gallagher's theorem -- closing the gap and beyond
Mumtaz Hussain, David Simmons
Quantitative results using variants of Schmidt's game: Dimension bounds, arithmetic progressions, and more
Ryan Broderick, Lior Fishman, David Simmons
Badly Approximable Systems of Affine Forms and Incompressibility on Fractals
Ryan Broderick, Lior Fishman, David Simmons
Extremality and dynamically defined measures, part I: Diophantine properties of quasi-decaying measures
Tushar Das, Lior Fishman, David Simmons +1
Intrinsic approximation for fractals defined by rational iterated function systems - Mahler's research suggestion
Lior Fishman, David Simmons
Some manifolds of Khinchin type for convergence
David Simmons
Badly approximable vectors and fractals defined by conformal dynamical systems
Tushar Das, Lior Fishman, David Simmons +1
Unconventional height functions in simultaneous Diophantine approximation
Lior Fishman, David Simmons
Variations on Dirichlet's theorem
Lior Fishman, David Simmons
An analogue of a theorem of Kurzweil
David Simmons
A Danzer set for Axis Parallel Boxes
David Simmons, Yaar Solomon
Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
Sam Chow, Anish Ghosh, Lifan Guan +2
Decaying and non-decaying badly approximable numbers
Ryan Broderick, Lior Fishman, David Simmons
Diophantine properties of measures invariant with respect to the Gauss map
Lior Fishman, David Simmons, Mariusz Urbanski
The Hurwitz continued fraction expansion as applied to real numbers
David Simmons
Strictly Positive and Continuous Random Fibonacci Sequences and Network Theory Applications
David Simmons, Justin Coon
Rigidity of limit sets for nonplanar geometrically finite Kleinian groups of the second kind
Lior Fishman, David Simmons, Mariusz UrbaÅski
Geometry and dynamics in Gromov hyperbolic metric spaces: With an emphasis on non-proper settings
Tushar Das, David Simmons, Mariusz UrbaÅski