Results
author = "Marklof, J"
1
Found 7 documents, displaying page 1 of 1
On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds
Author(s) :
Marklof, J.
Description :
Asymptotic laws for mean multiplicities of lengths of closed geodesics in
arithmetic hyperbolic three-orbifolds are derived. The sharpest results are
obtained for non-compact orbifolds associated with the Bianchi groups SL(2,o)
and some congruence subgroups. Similar results hold for cocompact arit...
Repository :
arXiv
Language(s) :
Undetermined
Improved power law potentials for highway traffic flow
Description :
The established relationship between the spacing distributions of highway traffic and those of classical gas models is re-examined. Limitations in the statistics of the power law potential are identified, and two modifications are proposed which alter the potential at respectively long and short ran...
Repository :
Bristol Repository of Scholarly Eprints (ROSE)
Language(s) :
English
Trace formulae for three-dimensional hyperbolic lattices and application to a strongly chaotic tetrahedral billiard
Description :
This paper is devoted to the quantum chaology of three-dimensional systems. A
trace formula is derived for compact polyhedral billiards which tessellate the
three-dimensional hyperbolic space of constant negative curvature. The exact
trace formula is compared with Gutzwiller's semiclassical period...
Repository :
arXiv
Language(s) :
Undetermined
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
Description :
We compute the value distributions of the eigenfunctions and spectral
determinant of the Schrodinger operator on families of star graphs. The values
of the spectral determinant are shown to have a Cauchy distribution with
respect both to averages over bond lengths in the limit as the wavenumber te...
Repository :
arXiv
Language(s) :
Undetermined
Multidimensional continued fractions, dynamical renormalization and KAM theory
Description :
The disadvantage of `traditional' multidimensional continued fraction
algorithms is that it is not known whether they provide simultaneous rational
approximations for generic vectors. Following ideas of Dani, Lagarias and
Kleinbock-Margulis we describe a simple algorithm based on the dynamics of
f...
Repository :
arXiv
Language(s) :
Undetermined
Nodal Domain Statistics for Quantum Maps, Percolation and SLE
Description :
We develop a percolation model for nodal domains in the eigenvectors of
quantum chaotic torus maps. Our model follows directly from the assumption that
the quantum maps are described by random matrix theory. Its accuracy in
predicting statistical properties of the nodal domains is demonstrated by
...
Repository :
arXiv
Language(s) :
Undetermined
Localised eigenfunctions in Seba billiards
Description :
We describe some new families of quasimodes for the Laplacian perturbed by
the addition of a potential formally described by a Dirac delta function. As an
application we find, under some additional hypotheses on the spectrum,
subsequences of eigenfunctions of Seba billiards that localise around a ...
Repository :
arXiv
Language(s) :
Undetermined
1
Found 7 documents, displaying page 1 of 1