Add to ORKGThe subject of diophantine approximation is a classical mathematic problem, as old as it is well studied. There are many different texts describing its connection to more modern areas of study, but few which do so with the aim of exploring the connections themselves. This paper aims to serve as an introduction to diophantine approximation, and to expose some properties common between two dynamical systems where it occurs. This is done in the style of a booklet, starting from the basics in each of the areas of diophantine appproximation, continued fractions, symbolic sequences, and hyperbolic geometry. Focus on each of the chapters following the first is on how to they connect back to diophantine equation. The chapters are then capped off wi...
The author had initiated a revision and translation of "Classical Diophantine Equations" prior to hi...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
We will discuss some classical questions that have their origins in the work of Gauss from 1863 [16,...
On the 7th, 8th and 9th June 2004 has been held at the Institut Henri Poincaré a conference on ''Dyn...
In the study of any branch of mathematics it is useful to be able to identify a central body of too...
In the study of any branch of mathematics it is useful to be able to identify a central body of too...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
In this paper we consider simultaneous approximations to algebraic numbers a1,...,am
Abstract: We consider the global generalization of the continued fraction giving the best ...
The author had initiated a revision and translation of "Classical Diophantine Equations" prior to hi...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
We will discuss some classical questions that have their origins in the work of Gauss from 1863 [16,...
On the 7th, 8th and 9th June 2004 has been held at the Institut Henri Poincaré a conference on ''Dyn...
In the study of any branch of mathematics it is useful to be able to identify a central body of too...
In the study of any branch of mathematics it is useful to be able to identify a central body of too...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The fundamental problem in the theory of Diophantine approximation is to understand how well points ...
In this paper we consider simultaneous approximations to algebraic numbers a1,...,am
Abstract: We consider the global generalization of the continued fraction giving the best ...
The author had initiated a revision and translation of "Classical Diophantine Equations" prior to hi...
In this article we formalize some results of Diophantine approximation, i.e. the approximation of an...
We will discuss some classical questions that have their origins in the work of Gauss from 1863 [16,...