Results 161 to 170 of about 2,265 (192)

Annotation Hausdorff convergence and the fundamental group

Mathematische Zeitschrift, 1997
Wilderich Tuschmann   +1 more
exaly   +2 more sources

ON HAUSDORFF-GROMOV CONVERGENCE AND A THEOREM OF PAULIN

1994
Summary: We give an elementary account of ideas related to Hausdorff-Gromov convergence and explain how, among other things, these ideas can be used to prove a theorem of F. Paulin: If a group \(\Gamma\) is word hyperbolic and its outer automorphism group is infinite, then \(\Gamma\) acts by isometries on an \(\mathbb{R}\)-tree with virtually cyclic ...
Bridson, M. R., Swarup, G. A.
openaire   +2 more sources

THE RELATIVE CONVERGENCE SPEED FOR ENGEL EXPANSIONS AND HAUSDORFF DIMENSION

Fractals, 2021
In this paper, we investigate how many real numbers can be well approximated by their convergents in the Engel expansions. Furthermore, the relative growth rate of convergence speed of convergents in the Engel expansion of an irrational number is studied to the rate of growth of its digits.
ZHENLIANG ZHANG, XIAOYAN TAN
openaire   +1 more source

Gromov-Hausdorff convergence to nonmanifolds

The Journal of Geometric Analysis, 1995
We construct sequences of 7-spheres in Gromov-Hausdorff space converging to non-manifolds. The manifolds in these sequences have a common contractibility function. There are two main classes of examples -- examples for which the limit is an infinite dimensional space of finite cohomological dimension and examples for which the limit is a finite ...
openaire   +2 more sources

\(\Gamma\) convergence of Hausdorff measures

2005
Starting from the Golab Theorem, which states that in a metric space \((Q,d)\) the Hausdorff measure \({\mathcal H}^1_d\), when restricted to the class of the compact connected subsets of \(Q\), is lower semicontinuous for the Hausdorff distance between sets, it is shown that actually a more general result holds for the \(\Gamma\)-convergence of ...
BUTTAZZO, GIUSEPPE, B. SCHWEIZER
openaire   +2 more sources

The Baker-Campbell-Hausdorff formula and the convergence of the Magnus expansion

Journal of Physics A: Mathematical and General, 1989
The authors show that for a wide class of dynamical systems (described by Hamiltonians of the form usually considered in time-dependent perturbation theory) the divergence of the Magnus expansion in the Schrodinger picture for large time intervals is due to pole singularities inherent to the Baker-Campbell-Hausdorff formula.
Klarsfeld, S., Oteo, J.A.
openaire   +2 more sources

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