Using two-dimensional impedance maps to study weak scattering in isotropic random media

2014 ◽  
Vol 136 (4) ◽  
pp. 2158-2158
Author(s):  
Adam Luchies ◽  
Michael Oelze
Keyword(s):  
Random Media ◽  
Two Dimensional ◽  
Weak Scattering ◽  
Isotropic Random

Two dimensional self-organized transitions for propagation in random media

1996 ◽  
Vol 46 (S4) ◽  
pp. 2277-2278
Author(s):  
M. Ausloos ◽  
N. Vandewalle ◽  
R. Cloots
Keyword(s):  
Random Media ◽  
Two Dimensional ◽  
Self Organized

scholarly journals Limit theorems for isotropic random walks on triangle buildings

2002 ◽  
Vol 73 (3) ◽  
pp. 301-334 ◽  
Author(s):  
Marc Lindlbauer ◽  
Michael Voit
Keyword(s):  
Limit Theorem ◽  
Random Walks ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Two Dimensional ◽  
Littlewood Polynomials ◽  
Large Numbers ◽  
Moment Functions ◽  
Vertex Sets ◽  
Isotropic Random

AbstractThe spherical functions of triangle buildings can be described in terms of certain two-dimensional orthogonal polynomials on Steiner's hypocycloid which are closely related to Hall-Littlewood polynomials. They lead to a one-parameter family of two-dimensional polynimial hypergroups. In this paper we investigate isotropic random walks on the vertex sets of triangle buildings in terms of their projections to these hypergroups. We present strong laws of large numbers, a central limit theorem, and a local limit theorem; all these results are well-known for homogeneous trees. Proofs are based on moment functions on hypergroups and on explicit expansions of the hypergroup characters in terms of certain two-dimensional Tchebychev polynimials.

Effect of Pump Area on Lasing Modes in Two Dimensional ZnO Nanorods Random Media

2011 ◽  
Vol 40 (11) ◽  
pp. 1738-1743
Author(s):  
游巧琴 YOU Qiaoqin ◽  
李炳祥 LI Bingxiang ◽  
杨欢 YANG Huan ◽  
胡达波 HU Dabo ◽  
雷园 LEI Yuan ◽  
...  
Keyword(s):  
Random Media ◽  
Zno Nanorods ◽  
Two Dimensional ◽  
Lasing Modes

Polarization-dependent difference of the power spectra from two-dimensional random media with different shapes

2009 ◽  
Vol 54 (18) ◽  
pp. 3215-3219 ◽  
Author(s):  
Hai Liu ◽  
JinSong Liu ◽  
JianTao Lü ◽  
KeJia Wang
Keyword(s):  
Random Media ◽  
Power Spectra ◽  
Two Dimensional ◽  
Different Shapes
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