Results 161 to 170 of about 2,483 (259)

Uniform Diophantine Approximation on the Hecke Group H4

Dirichlet's uniform approximation theorem is a fundamental result in Diophantine approximation that gives an optimal rate of approximation with a given bound. We study uniform Diophantine approximation properties on the Hecke group $\mathbf H_{4}$. For a
Lee S. B., Kim D. H., Bakhtawar A.
core   +1 more source

Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics

, 2016
Recently conjectures by Schmidt and by Davenport were solved in papers by Dzmitry Badziahin, Andrew Pollington and Sanju Velani, and by Victor Beresnevich.

core   +2 more sources

Diophantine approximation: automatic numbers and their generalisations

, 2014
In 1844, Liouville gave the first examples of transcendental numbers, providing a criterion for transcendence based on how well a number can be approximated by rationals.
Coons, Michael
core  

Probabilistic diophantine approximation: randomness in lattice point counting

, 2014
This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by
Beck, József
core   +1 more source

Inhomogeneous Kaufman measures and diophantine approximation

We introduce an inhomogeneous variant of Kaufman's measure, with applications to diophantine approximation.
Chow, Sam, ZAFEIROPOULOS, AGAMEMNON, ZORIN, EVGENIY   +2 more
core  

On a question of Mordell. [PDF]

Proc Natl Acad Sci U S A, 2021
Booker AR, Sutherland AV.
europepmc   +1 more source

Diophantine Approximations. [PDF]

The American Mathematical Monthly, 1964
W. E. Briggs, Ivan Niven
openaire   +2 more sources

Nevanlinna Theory and Diophantine Approximation

, 1999
As observed originally by C. Osgood, certain statements in value distribution theory bear a strong resemblance to certain statements in diophantine approximation, and their corollaries for holomorphic curves likewise resemble statements for integral ...
Paul Vojta
core  

Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]

Entropy (Basel)
Pastur L, Shamis M.
europepmc   +1 more source

Regularity of Conjugacies of Linearizable Generalized Interval Exchange Transformations. [PDF]

Commun Math Phys
Ghazouani S, Ulcigrai C.
europepmc   +1 more source