This paper solves the general Erdös-Szemeredi conjecture for some classes of increasing families of finite subsets of self-similar subsets of the integers. It does so by applying zeta function methods for discrete self similar sets
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
International audienceThis paper solves the general Erdos-Szemeredi conjecture for some classes of i...
International audienceIn this paper we first prove analytical properties of zeta functions for discr...
46 pages.International audienceIn this paper we study a class of countable and discrete subsets of a...
AbstractIn this paper we study a class of countable and discrete subsets of a Euclidean space that a...
In the first chapter we define and look at examples of self-similar sets and some of\ud their proper...
International audienceThis paper uses the zeta function methods to solve Falconer-type problems abou...
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I, Fractals in Pure Mathemati...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
Visualization of sets in Euclidean space that possess notions of non-integer dimension has lead to a...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
In their seminal paper Erdös and Szemerédi formulated conjectures on the size of sumset and product ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...
International audienceThis paper solves the general Erdos-Szemeredi conjecture for some classes of i...
International audienceIn this paper we first prove analytical properties of zeta functions for discr...
46 pages.International audienceIn this paper we study a class of countable and discrete subsets of a...
AbstractIn this paper we study a class of countable and discrete subsets of a Euclidean space that a...
In the first chapter we define and look at examples of self-similar sets and some of\ud their proper...
International audienceThis paper uses the zeta function methods to solve Falconer-type problems abou...
Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics I, Fractals in Pure Mathemati...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
Visualization of sets in Euclidean space that possess notions of non-integer dimension has lead to a...
We study the spectral zeta functions of the Laplacian on fractal sets which are locally self-similar...
In their seminal paper Erdös and Szemerédi formulated conjectures on the size of sumset and product ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
Zeta-functions are significant objects in analytic number theory. The one of the central object is t...
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L...
International audienceIn this paper, we generalize the zeta function for a fractal string (as in [18...