zbMath1210.05169arXiv0802.3442MaRDI QIDQ3545436
Peter A. Kuchment
Publication date: 10 December 2008
Full work available at URL: https://arxiv.org/abs/0802.3442
Computational networks and systems -- homogenization of self-adjoint differential operators in variational form on periodic networks and micro-architectured systems,
Modeling active optical networks,
Gagliardo-Nirenberg-Sobolev inequalities on planar graphs,
Telegraph systems on networks and port-Hamiltonians. II: Network realizability,
Singularly perturbed diffusion-advection-reaction processes on extremely large three-dimensional curvilinear networks with a periodic microstructure -- efficient solution strategies based on homogenization theory,
Linear representations and isospectrality with boundary conditions,
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs,
Uncertainty principle for discrete Schrödinger evolution on graphs,
A Gelfand-Levitan trace formula for generic quantum graphs,
Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph,
Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness,
On the quotient quantum graph with respect to the regular representation,
Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length,
Existence of guided waves due to a lineic perturbation of a 3D periodic medium,
Existence and uniqueness of solutions for a fractional boundary value problem on a graph,
Recovering quantum graphs from their Bloch spectrum,
On inverse topology problem for Laplace operators on graphs,
Hardy uncertainty principle for the linear Schrödinger equation on regular quantum trees,
Emergence of geometry in a combinatorial universe,
Imaging geometric graphs using internal measurements,
Population persistence in river networks,
Direct computation of scattering matrices for general quantum graphs,
Spectral determinants and an Ambarzumian type theorem on graphs,
First order approach and index theorems for discrete and metric graphs,
Pseudodifferential operators on periodic graphs,
An Ambarzumian-type theorem on graphs with odd cycles,
A geometric construction of isospectral magnetic graphs,
Time-dependent Schrödinger equation: statistics of the distribution of Gaussian packets on a metric graph,
Dirichlet forms for singular one-dimensional operators and on graphs,
Spectrum of the Dirichlet Laplacian in a thin cubic lattice,
Geometric and spectral analysis on weighted digraphs,
Inverse spectral problems for Dirac operators with summable matrix-valued potentials,
Non-Weyl resonance asymptotics for quantum graphs in a magnetic field,
Dirichlet forms and semilinear elliptic equations with measure data,
Some topics in the dynamics of group actions on rooted trees.,
Visibility of quantum graph spectrum from the vertices,
Computational networks and systems – homogenization of variational problems on micro-architectured networks and devices,
Quantum graphs: self-adjoint, and yet exhibiting a nontrivial \(\mathcal{PT}\)-symmetry,
Eigenvalue bracketing for discrete and metric graphs,
Semigroup approach to diffusion and transport problems on networks,
Green's function approach for quantum graphs: an overview,
Inverse Sturm–Liouville problem on equilateral regular tree,
On the existence of point spectrum for branching strips quantum graph,
Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems,
Unnamed Item,
A Sheaf-Theoretic Perspective on Sampling,
Spectral Inequalities for Quantum Graphs,
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph,
Soliton and breather splitting on star graphs from tricrystal Josephson junctions,
Parabolic systems with coupled boundary conditions,
Dispersion for the 1-D Schrödinger equation with several Dirac potentials,
Estimation of number of modes in periodic graphs,
On an inverse problem for tree-like networks of elastic strings,
Anderson localization for radial tree-like random quantum graphs,
Telegraph systems on networks and port-Hamiltonians. III: Explicit representation and long-term behaviour,
On the Well-posedness of Evolutionary Equations on Infinite Graphs,
Knots and signal transmission in topological quantum devices
