4 citations · 10 across the 4 of their papers we have counts for
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math-ph2014★ 3 cited
How the permutation of edges of a metric graph affects the number of points moving along the edges
V. L. Chernyshev, A. A. Tolchennikov
We consider a dynamical system on a metric graph, that corresponds to a semiclassical solution of a time-dependent Schrödinger equation. We omit all details concerning mathematical…
math-ph2014★ 4 cited
Asymptotic estimate for the number of Gaussian packets on three decorated graphs
V. L. Chernyshev, A. A. Tolchennikov
We study a topological space obtained from a graph via replacing vertices with smooth Riemannian manifolds, i.e. a decorated graph. We construct a semiclassical asymptotics of the…