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Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab16c5
Abstract: We present a weighted estimator of the covariance and correlation in bipartite complex systems with a double layer of heterogeneity. The advantage provided by the weighted estimators lies in the fact that the unweighted sample…
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Keywords:
bipartite complex;
complex systems;
systems double;
covariance correlation ... See more keywords
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Published in 2020 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab7601
Abstract: We consider the scattering problems of a quantum particle in a system with a single Y-junction and in ring systems with double Y-junctions. We provide new formalism for such quantum mechanical problems. Based on a…
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Keywords:
ring systems;
double junctions;
quantum reflection;
systems double ... See more keywords
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Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz029
Abstract: In this paper we study various aspects of the double ramification (DR) hierarchy, introduced by the 1st author, and its quantization. We extend the notion of tau-symmetry to quantum integrable hierarchies and prove that the…
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Keywords:
systems double;
integrable systems;
double ramification;
ramification type ... See more keywords