LAUSR

Pair correlation of zeros of the real and imaginary parts of the Riemann zeta-function

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2 Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2017.10.024

Abstract: Abstract We show that if the Riemann Hypothesis is true for the Riemann zeta-function, ζ ( s ) , and 0 a 1 / 2 , then all but a finite number of the zeros… read more here.

Keywords: zeta function; pair correlation; correlation zeros; riemann zeta ... See more keywords

Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

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0 Published in 2021 at "Scientific Reports"

DOI: 10.1038/s41598-021-92556-7

Abstract: We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all… read more here.

Keywords: pair correlation; ground state; correlation ansatz; one dimensional ... See more keywords

Evolution of pair correlation symmetries and supercurrent reversal in tilted Weyl semimetals

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0 Published in 2020 at "Physical Review B"

DOI: 10.1103/physrevb.101.035120

Abstract: We study the effective symmetry profiles of superconducting pair correlations and the flow of charge supercurrent in ballistic Weyl semimetal systems with a tilted dispersion relation. Utilizing a microscopic method in the ballistic regime and… read more here.

Keywords: weyl semimetal; pair correlation; symmetry; pseudospin ... See more keywords

Microscopic theory for the pair correlation function of liquidlike colloidal suspensions under shear flow.

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0 Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.106.044610

Abstract: We present a theoretical framework to investigate the microscopic structure of concentrated hard-sphere colloidal suspensions under strong shear flows by fully taking into account the boundary-layer structure of convective diffusion. We solve the pair Smoluchowski… read more here.

Keywords: correlation function; pair; pair correlation; colloidal suspensions ... See more keywords

ORTHOGONAL SERIES ESTIMATION OF THE PAIR CORRELATION FUNCTION OF A SPATIAL POINT PROCESS

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0 Published in 2019 at "Statistica Sinica"

DOI: 10.5705/ss.202017.0112

Abstract: The pair correlation function is a fundamental spatial point process characteristic that, given the intensity function, determines second order moments of the point process. Non-parametric estimation of the pair correlation function is a typical initial… read more here.

Keywords: pair correlation; correlation function; spatial point; point process ... See more keywords