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Fortschritte der Physik
Article . 2012 . Peer-reviewed
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Article . 2013
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https://dx.doi.org/10.48550/ar...
Article . 2013
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Pseudo‐Hermitian random matrix theory

Pseudo-Hermitian random matrix theory
Authors: Srivastava, S. C. L.; Jain, S. R.;

Pseudo‐Hermitian random matrix theory

Abstract

AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible. We have found it important to mention the precise directions where advances could be made if further results become available.

Keywords

Quantum Physics, Sums of independent random variables; random walks, Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Random matrices (algebraic aspects), pseudo-hermiticity, FOS: Physical sciences, random matrices, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, random walk, Random matrices (probabilistic aspects), cyclic matrices, Quantum Physics (quant-ph)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    15
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
Green
bronze