scholarly journals Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary

2021 ◽  
Author(s):  
David Krejčiřík ◽  
Vladimir Lotoreichik ◽  
Konstantin Pankrashkin ◽  
Matěj Tušek
Keyword(s):  
Spectral Analysis ◽  
Diffusion Operator ◽  
Random Jumps ◽  
Multidimensional Diffusion

scholarly journals MULTIPLICITIES OF EIGENVALUES OF THE DIFFUSION OPERATOR WITH RANDOM JUMPS FROM THE BOUNDARY

2018 ◽  
Vol 99 (1) ◽  
pp. 101-113 ◽  
Author(s):  
JUN YAN ◽  
GUOLIANG SHI
Keyword(s):  
Differential Operator ◽  
Characteristic Function ◽  
Diffusion Process ◽  
Algebraic Multiplicity ◽  
Diffusion Operator ◽  
Random Jumps ◽  
New Criterion ◽  
Multiplicity Of An Eigenvalue

This paper deals with a non-self-adjoint differential operator which is associated with a diffusion process with random jumps from the boundary. Our main result is that the algebraic multiplicity of an eigenvalue is equal to its order as a zero of the characteristic function $\unicode[STIX]{x1D6E5}(\unicode[STIX]{x1D706})$. This is a new criterion for determining the multiplicities of eigenvalues for concrete operators.

scholarly journals Diffusion operator and spectral analysis for directed hypergraph Laplacian

2019 ◽  
Vol 784 ◽  
pp. 46-64 ◽  
Author(s):  
T.-H. Hubert Chan ◽  
Zhihao Gavin Tang ◽  
Xiaowei Wu ◽  
Chenzi Zhang
Keyword(s):  
Spectral Analysis ◽  
Diffusion Operator ◽  
Hypergraph Laplacian ◽  
Directed Hypergraph

Spectral analysis of asymmetry training effect for depression

2008 ◽  
Author(s):  
Ji Ha Lee ◽  
Sung Won Choi ◽  
Ji Sun Min ◽  
Eun Ju Jaekal ◽  
Gyhye Sung
Keyword(s):  
Spectral Analysis ◽  
Training Effect

Some problems in the spectral analysis of human behavior records

1953 ◽  
Author(s):  
C. J. Burke ◽  
R. Narasimhan ◽  
O. J. Benepe
Keyword(s):  
Spectral Analysis ◽  
Human Behavior
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