Branch Point

2021 ◽  
Author(s):  
Alain Fradet ◽  
Jiazhong Chen ◽  
Karl-Heinz Hellwich ◽  
Kazuyuki Horie ◽  
Jaroslav Kahovec ◽  
...  
Keyword(s):  
Branch Point

Branch-Point Motion in Asymmetric Star Polymers

2005 ◽  
Vol 38 (10) ◽  
pp. 4484-4494 ◽  
Author(s):  
Jung Hun Lee ◽  
Lewis J. Fetters ◽  
Lynden A. Archer
Keyword(s):  
Branch Point ◽  
Star Polymers ◽  
Point Motion

scholarly journals Functional Impact of Dendritic Branch-Point Morphology

2013 ◽  
Vol 33 (5) ◽  
pp. 2156-2165 ◽  
Author(s):  
M. Ferrante ◽  
M. Migliore ◽  
G. A. Ascoli
Keyword(s):  
Branch Point ◽  
Dendritic Branch ◽  
Functional Impact

scholarly journals Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere

2021 ◽  
Vol 24 (3) ◽  
Author(s):  
Alexander I. Bobenko ◽  
Ulrike Bücking
Keyword(s):  
Error Estimate ◽  
Branch Point ◽  
Riemann Surfaces ◽  
Riemann Sphere ◽  
Holomorphic Functions ◽  
Convergence Result ◽  
Edge Length ◽  
Ramified Covering ◽  
Compact Riemann Surfaces ◽  
Ramified Coverings

AbstractWe consider the class of compact Riemann surfaces which are ramified coverings of the Riemann sphere $\hat {\mathbb {C}}$ ℂ ̂ . Based on a triangulation of this covering we define discrete (multivalued) harmonic and holomorphic functions. We prove that the corresponding discrete period matrices converge to their continuous counterparts. In order to achieve an error estimate, which is linear in the maximal edge length of the triangles, we suitably adapt the triangulations in a neighborhood of every branch point. Finally, we also prove a convergence result for discrete holomorphic integrals for our adapted triangulations of the ramified covering.

scholarly journals Electrical Transport through a Single Nanoscale Semiconductor Branch Point

Nano Letters ◽  
2005 ◽  
Vol 5 (7) ◽  
pp. 1519-1523 ◽  
Author(s):  
Yi Cui ◽  
Uri Banin ◽  
Mikael T. Björk ◽  
A. Paul Alivisatos
Keyword(s):  
Branch Point ◽  
Electrical Transport
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