22 citations · 37 across the 3 of their papers we have counts for
3 papers
math-ph2004★ 15 cited
Perturbative test of single parameter scaling for 1D random media
R. Schrader, H. Schulz-Baldes, A. Sedrakyan
Products of random matrices associated to one-dimensional random media satisfy a central limit theorem assuring convergence to a gaussian centered at the Lyapunov exponent. The hyp…
math.CO2004
Generating Functions of Random Walks on Graphs
Vadim Kostrykin, Robert Schrader
The article provides an explicit algebraic expression for the generating function of walks on graphs. Its proof is based on the scattering theory for the differential Laplace opera…
math-ph2003★ 22 cited
A Random Necklace Model
Vadim Kostrykin, Robert Schrader
We consider a Laplace operator on a random graph consisting of infinitely many loops joined symmetrically by intervals of unit length. The arc lengths of the loops are considered t…