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14 papers · 1 filter
Combinatorics of geometrically distributed random variables: New q-tangent and q-secant numbers
Helmut Prodinger
Up-down permutations are counted by tangent resp. secant numbers. Considering words instead, where the letters are produced by independent geometric distributions, there are severa…
A q-analogue of the path length of binary search trees
Helmut Prodinger
A reformulation of the path length of binary search trees is given in terms of permutations, allowing to extend the definition to the instance of words, where the letters are obtai…
Order parameter model for unstable multilane traffic flow
Ihor A. Lubashevsky, Reinhard Mahnke
We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that explains in a simple way the observed sequence of the phase transiti…
Repulsion of Resonance States and Exceptional Points
W. D. Heiss
Level repulsion is associated with exceptional points which are square root singularities of the energies as functions of a (complex) interaction parameter. This is also valid for…
Transport measurements in BSCCO-2212 in high magnetic fields
J. M. Keartland, R. A. Doyle
We present results for the in-plane resistivity as a function of temperature for clean single crystal samples of BSCCO-2212 in applied magnetic fields above 0.5 T. Several fixed an…
Spin Dynamics of Rare Earth Ions in Phosphate Laser Glasses
I. P. Goudemond, J. M. Keartland, M. J. R. Hoch +1
The spin dynamics of rare earth ions (Er, Nd, Sm and Gd) in heavily doped phosphate glasses have been investigated using 31P NMR. Correlation times in the range 10^-2 to 10^-12 s h…