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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

Author(s) : Smith, DA , Marklof, J , Wilson, RE
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

Author(s) : Aurich, R. , Marklof, J.
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

Author(s) : Keating, J. P. , Marklof, J. , Winn, B.
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

Author(s) : Khanin, K , Lopes-Dias, J , Marklof, J
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

Author(s) : Keating, J. P. , Marklof, J. , Williams, I. G.
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

Author(s) : Keating, J. P. , Marklof, J. , Winn, B.
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