22

Scattering solutions in a network of thin fibers: small diameter asymptotics, Preprint (mathph/0609021
– S. Molchanov, B. Vainberg
 2006

46

Variational problems on multiply connected thin strips I: Basic estimates and convergence of the Laplacian spectrum
– Jacob Rubinstein, Michelle Schatzman
 1999

37

Convergence of spectra of graphlike thin manifolds
– Pavel Exner, Olaf Post

55

Convergence of Spectra of Mesoscopic Systems Collapsing Onto a Graph.
– Peter Kuchment, Hongbiao Zeng
 1999

33

Diffusion processes on graphs and the Averaging Principle
– M, A D Wentzell
 1993

53

Free electron network model for conjugated systems
– K Ruedenberg, C W Scherr
 1953

135

Kirchhoff’s rule for quantum wires
– V. Kostrykin, R. Schrader
 1999

10

convergence of quasionedimensional spaces
– Spectral

108

CurvatureInduced Bound States In Quantum Waveguides In Two And Three Dimensions
– Pierre Duclos, Pavel Exner
 1995

84

Quantum graphs: I. Some basic structures
– P Kuchment
 2004

10

Quantum graphs as holonomic constraints
– G Dell’Antonio, L Tenuta
 2006

79

Bound states in curved quantum waveguides
– P Exner, P
 1989

12

Coupling in the singular limit of thin quantum waveguides
– Sergio Albeverio, Claudio Cacciapuoti, Domenico Finco

10

Transition from a network of thin fibers to the quantum graph: an explicitly solvable model
– S Molchanov, B Vainberg

8

Spectral convergence of noncompact quasionedimensional spaces
– Olaf Post

33

Quantum graphs. I. Some basic structures, Waves Random Media 14
– P Kuchment
 2004

8

Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide
– Claudio Cacciapuoti, Pavel Exner
 2007

14

Convergence of the Neumann Laplacians on Shrinking domains, preprint
– Y Saitō
 1999

16

Zagrebnov: Potential approximations to δ ′ : An inverse Klauder phenomenon with normresolvent convergence
– Pavel Exner, B Hagen Neidhardt, Valentin A. Zagrebnov D
