Yann Bugeaud

Mathematical Physics · 2001–2018

A researcher in the Science corpus: 27 papers; trusts 31 researchers and is trusted by 33 researchers here, as inferred from the citation graph.

Subfields

Mathematical Physics — 56 citations into it; #1,203 of 8,562 by trust here, #851 by citations
Geometry and Topology — 50 citations into it; #2,166 of 7,422 by trust here, #1,961 by citations
Computational Theory and Mathematics — 27 citations into it; #3,149 of 12,182 by trust here, #3,681 by citations
Algebra and Number Theory — 17 citations into it; #521 of 2,864 by trust here, #550 by citations
Statistical and Nonlinear Physics — 15 citations into it; #2,480 of 10,127 by trust here, #3,513 by citations
Applied Mathematics — 8 citations into it
Theoretical Computer Science — 8 citations into it
Discrete Mathematics and Combinatorics — 5 citations into it

Whom Yann Bugeaud trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

Who trusts Yann Bugeaud overall

Papers from Yann Bugeaud's perspective

Ordered by how strongly the researchers Yann Bugeaud trusts endorse each paper. Same corpus, a different order for every researcher.

Badly approximable vectors on fractals
Almost no points on a Cantor set are very well approximable (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
On fractal measures and diophantine approximation
Diophantine approximation and badly approximable sets
The shrinking target property of irrational rotations
Implementing 2-descent for Jacobians of hyperelliptic curves
Classical metric Diophantine approximation revisited
Diophantine approximation onplanar curves andthe distribution of rational points
On circle rotations and the shrinking target properties
Independence of rational points on twists of a given curve (Compositio Mathematica)

Their papers

Approximation by Algebraic Integers and Hausdorff Dimension (2002) — 52 citations
A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION (2003) — 62 citations
On the complexity of algebraic numbers, II. Continued fractions (2005) — 107 citations
On the complexity of algebraic numbers I. Expansions in integer bases (2005) — 223 citations
An upper bound for the G.C.D. of an - 1 and bn -1 (2003) — 108 citations
Linear Forms in Logarithms and Applications (2018) — 87 citations
Exponential Diophantine equations (2015) — 153 citations
Martin Aigner: “Markov’s Theorem and 100 Years of the Uniqueness Conjecture” (2014) — 88 citations
Distribution of full cylinders and the Diophantine properties of the orbits in $\beta$-expansions (2014) — 51 citations
Distribution Modulo One and Diophantine Approximation: On the fractional parts of powers of algebraic numbers (2012) — 86 citations
POLYNOMIAL ROOT SEPARATION (2010) — 48 citations
Integral points on hyperelliptic curves (2008) — 64 citations
Diophantine approximation and Cantor sets (2008) — 88 citations
Fibonacci numbers at most one away from a perfect power (2008) — 63 citations
On shrinking targets for Z^m actions on tori (2008) — 48 citations
Dynamics for β-shifts and Diophantine approximation (2007) — 54 citations
Exponents of Diophantine approximation (2006) — 54 citations
On Exponents of Homogeneous and Inhomogeneous Diophantine Approximation (2005) — 99 citations
On the Maillet-Baker continued fractions (2005) — 47 citations
Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation (2004) — 181 citations