Search
Search Results
-
Spectral continuity and the dynamics of quasi-2-isometric operators
Linear dynamics has been a rapidly evolving area since the early 1990s. It lies at the intersection of operator theory and topological dynamics and...
-
Circumcenter extension maps for non-positively curved spaces
We show that every cross ratio preserving homeomorphism between boundaries of Hadamard manifolds extends to a map, called circumcenter extension,...
-
Compressed Data Separation via ℓq-Split Analysis with ℓ∞-Constraint
In this paper, we study compressed data separation (CDS) problem, i.e., sparse data separation from a few linear random measurements. We propose the...
-
Generalization of the Notion of Completeness of a Riemannian Analytic Manifold
In this paper, we discuss the concept of an analytic prolongation of a local Riemannian metric. We propose a generalization of the notion of...
-
Bounded-Diameter Tree-Decompositions
When does a graph admit a tree-decomposition in which every bag has small diameter? For finite graphs, this is a property of interest in algorithmic...
-
Brownian Type Parts of Operators in Hilbert Spaces
We obtain some reducing (or just invariant) subspaces for a Hilbert space operator on which it acts as a Brownian type 2-isometry. More exactly...
-
Hyperbolic Groups
In this chapter, groups are studied as geometric objects. The Cayley graph of a group fully describes the group. Through the operation of a group on...
-
Linear preservers of m-selfadjoint operators and high-order isometries
Let H be a complex infinite-dimensional Hilbert space. Given a positive integer m , a bounded linear operator T on H is called m -selfadjoint if
... -
-
Some Properties of Markov chains on the Free Group \({\mathbb {F}}_2\)
Random walks cannot, in general, be pushed forward by quasi-isometries. Tame Markov chains were introduced as a ‘quasi-isometry invariant’...
-
-
-
Rigidity of geometric structures
Geometric structures on a manifold M arise from a covering of M by charts with values in a homogeneous space G / H , with chart transitions restrictions...
-
Metric Spaces Meet Groups
Studying the close connection between groups and geometry is a central concept in geometric group theory. Groups are equipped with metrics themselves...
-
-
-
Decomposition complexity growth of finitely generated groups
Finite decomposition complexity and asymptotic dimension growth are two generalizations of M. Gromov’s asymptotic dimension which can be used to...