22 citations · 22 across the 4 of their papers we have counts for
4 papers
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…
The singularly continuous spectrum and non-closed invariant subspaces
Vadim Kostrykin, Konstantin A. Makarov
Let be a bounded self-adjoint operator on a separable Hilbert space and a closed invariant subspace of .…
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…
A generalization of the Theorem
Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
Let be a bounded self-adjoint operator on a separable Hilbert space and a closed invariant subspace of .…