Spectral Localization in the Hierarchical Anderson Model [PDF]
We prove that a large class of hierarchical Anderson models with spectral dimension ${\rm d}\leq 2$ has only pure point spectrum.
arxiv
Theory of Functions of a Complex Variable . By A. R. Forsyth, SC.D., F.R.S., Fellow of Trinity College, Cambridge, Sadlerian Professor of Pure Mathematics. Second Edition. Cambridge, at the University Press. 1900. 8vo. Pp. xxiv + 782. [PDF]
Thomas S. Fiske
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Local unitary equivalence and distinguishability of arbitrary multipartite pure states [PDF]
We give an universal algorithm for testing the local unitary equivalence of states for multipartite system with arbitrary dimensions.
arxiv
Irreducible Complexity in Pure Mathematics
By using ideas on complexity and randomness originally suggested by the mathematician-philosopher Gottfried Leibniz in 1686, the modern theory of algorithmic information is able to show that there can never be a "theory of everything" for all of mathematics.
openaire +3 more sources
Fast‐Charging Solid‐State Li Batteries: Materials, Strategies, and Prospects
This review addresses challenges and recent advances in fast‐charging solid‐state batteries, focusing on solid electrolyte and electrode materials, as well as interfacial chemistries. The role of multiscale modeling and simulation in understanding Li+ transport and interfacial phenomena is emphasized, providing insights into materials, strategies, and ...
Jing Yu+7 more
wiley +1 more source
A General Course of Pure Mathematics. By Prof. A.L. Bowley, Sc.D. Pp. 268. Price 7s. 6d. net. 1913. (Clarendon Press.) [PDF]
A. L. Bowley
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Quantum Tomography From Few Full-Rank Observables [PDF]
We establish that the PhaseLift algorithm recovers pure states from a constant number of full-rank observables with high probability.
arxiv
Recent Advances in Wide‐Bandgap Perovskite Solar Cells
Ubiquitous defects predominately account for photo‐instability and open‐circuit voltage losses in wide‐bandgap perovskite solar cells (WBG PSCs). This review comprehensively presents the underlying impact mechanisms, summarizes the advanced optimization strategies across various functional layers and their interfaces to develop efficient and stable WBG
Jianjun Mei, Feng Yan
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Elements of Pure and Applied Mathematics by H. Lass [PDF]
A. J. C. Wilson
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Implantable devices rely on batteries that demand surgical replacement, posing risks, and financial burdens. Ultrasound energy transfer (US‐ET) offers a revolutionary wireless alternative but struggles with efficiency. The presented dielectric‐ferroelectric‐boosted US‐TENG (US‐TENGDF‐B) is thin, flexible, and biocompatible that provides high‐efficiency
Iman M. Imani+15 more
wiley +1 more source