Wave transport and localization in prime number landscapes

L Dal Negro, DT Henderson, F Sgrignuoli - Frontiers in Physics, 2021 - frontiersin.org
In this paper, we study the wave transport and localization properties of novel aperiodic
structures that manifest the intrinsic complexity of prime number distributions in imaginary …

A computer-based approach to study the Gaussian moat problem

H Florez, A Cárdenas-Avendaño - International Conference on Applied …, 2020 - Springer
In the year 1832, the well known German mathematician Carl Friedrich Gauss proposed the
set of Gaussian integers, which corresponds to those complex numbers whose real and …

Wave transport in complex prime arrays and hyperuniform systems

DT Henderson - 2022 - search.proquest.com
Complex dielectric structures play an important role in a wide range of optical applications
such as, for instance, novel light sources and random lasers, photonic filters and …

An Exposition of the Eisenstein Integers

S Bandara - 2016 - thekeep.eiu.edu
An Exposition of the Eisenstein Integers Page 1 Eastern Illinois University The Keep Masters
Theses Student Theses & Publications 2016 An Exposition of the Eisenstein Integers Sarada …

Wave transport and localization in prime number landscapes

LD Negro, DT Henderson, F Sgrignuoli - arXiv preprint arXiv:2106.08880, 2021 - arxiv.org
In this paper, we study the wave transport and localization properties of novel aperiodic
structures that manifest the intrinsic complexity of prime number distributions in imaginary …

Observation of multifractality of light in prime number arrays

F Sgrignuoli, S Gorsky, W Britton, R Zhang… - arXiv preprint arXiv …, 2020 - arxiv.org
Many natural patterns and shapes, such as meandering coastlines, clouds, or turbulent
flows, exhibit a characteristic complexity mathematically described by fractal geometry. In …