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PARAMETER CHOICE FOR FAMILIES OF MAPS WITH MANY CRITICAL POINTS
PARAMETER CHOICE MAPS WITH MANY CRITICAL POINTS
2015/9/25
We consider families of smooth one-dimensional maps with several critical points and outline the main ideas of the construction in the parameter space that allows to get infinite Markov Partitions and...
On continuous expansions of configurations of points in Euclidean space
regular simplex expanding configuration continuous expansion
2011/8/22
Abstract: For any two configurations of ordered points $p=(p_{1},...,\p_{N})$ and $q=(q_{1},...,q_{N})$ in Euclidean space $E^d$ such that $q$ is an expansion of $p$, there exists a continuous expansi...
On the flatness of Riemannian cylinders without conjugate points
flatness of Riemannian cylinders conjugate points
2011/1/17
What are appropriate geometric conditions ensuring that every complete Riemannian 2-cylinder without conjugate points is at?Examples with nonpositive curvature show that one has to assume that the end...
On intersection lattices of hyperplane arrangements generated by generic points
discriminantal arrangements M¨obius function characteristic polyno-mial enumeration of elements
2010/12/8
We consider hyperplane arrangements generated by generic points and study their intersection lattices. These arrangements are known to be equivalent to discriminantal arrangements. We show a fundament...
Lifting, restricting and sifting integral points on affine homogeneous varieties
integral points affine homogeneous varieties
2010/12/13
In [GN2] an effective solution of the lattice point counting problem in general domains in semisimple S-algebraic groups and affine symmetric varieties was established. The method relies on the mean e...
Boundary Points of Self-Affine Sets in R
Self-affine sets boundary points strict product-form digits
2010/3/1
Let A be an n \times n expanding matrix with integer entries and D = \{0, d1, ... , dN-1 \} \subseteq {\Bbb{Z}}n be a set of N distinct vectors, called an N-digit set. The unique non-empty compact set...