Search
Search Results
-
An Essay on the Riemann Hypothesis
The Riemann hypothesis is, and will hopefully remain for a long time, a great motivation to uncover and explore new parts of the mathematical world....
-
Simultaneous dense and nondense orbits for commuting maps
We show that, for two commuting automorphisms of the torus and for two elements of the Cartan action on compact higher rank homogeneous spaces, many...
-
Zurich 1910–1921
Zermelo’s time in Zurich from 1910 to 1916 stands out as the only period in his life when he held a paid university professorship. The early end of...
-
Göttingen 1897–1910
On 19 July 1897 Zermelo, still in Berlin, turned to Felix Klein in Göttingen for advice: Since my doctorate in October 1894 I have been an assistant...
-
Complex continued fractions: early work of the brothers Adolf and Julius Hurwitz
The two brothers Julius and Adolf Hurwitz were born in the middle of the nineteenth century in a small town near Hanover (not far from Göttingen)....
-
Limit points badly approximable by horoballs
For a proper, geodesic, Gromov hyperbolic metric space X , a discrete subgroup of isometries Γ whose limit set is uniformly perfect, and a disjoint...
-
Creators
The title of any book, monograph, or article tells the reader broadly what he can expect to attain from the book by reading it. The title is...
-
The Three Battles
Brouwer had to defend himself on three fronts: the Formalism-Intuitionism conflict, the War of the frogs and the mice, The Menger dimension conflict....
-
Schmidt’s game on fractals
We construct (α, β) and α-winning sets in the sense of Schmidt’s game, played on the support of certain measures (absolutely friendly) and show how...
-
Diophantine Approximations on Fractals
We exploit dynamical properties of diagonal actions to derive results in Diophantine approximations. In particular, we prove that the continued...
-
Curves and the Theorem of Riemann-Roch
In the following k is a field, \(\bar {k}\) is an algebraic closure and k...
-
“Local–Global”: the first twenty years
This paper investigates how and when pairs of terms such as “local–global” and “ im Kleinen – im Grossen ” began to be used by mathematicians as explicit...
-
1920 – 1929
The correspondence of the twenties continued the post-war trend. In 1920 the first written intuitionistic discussion between Brouwer and Weyl took...
-
Regression Models
In this chapter, we illustrate R to fit some common regression models from a Bayesian perspective. We first outline the Bayesian normal regression...
-
-
-
On the Distribution Modulo 1 of Exponential Sequences
New quantitative results on the intersection of winning sets and the Hausdorff dimension of this intersection are obtained. An application to the...