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1. Learning complex segments

   https://doi.org/10.1353/lan.2021.0011  

   Gouskova, Maria; Stanton, Juliet (January 2021, Language)

   null (Ed.)
2. Designing Complex Fluids

   https://doi.org/10.1146/annurev-fluid-031821-104935  

   Ewoldt, Randy H.; Saengow, Chaimongkol (January 2022, Annual Review of Fluid Mechanics)

   Taking a small step away from Newtonian fluid behavior creates an explosion in the range of possibilities. Non-Newtonian fluid properties can achieve diverse flow objectives, but the complexity introduces challenges. We survey useful rheological complexity along with organizing principles and design methods as we consider the following questions: How can non-Newtonian properties be useful? What properties are needed? How can we get those properties? 

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3. Homotopy Reconstruction via the Cech Complex and the Vietoris-Rips Complex

   https://doi.org/10.4230/LIPIcs.SoCG.2020.54  

   Kim, Jisu; Shin, Jaehyeok; Chazal, Frédéric; Rinaldo, Alessandro; Wasserman, Larry (August 2020, Leibniz international proceedings in informatics)

   We derive conditions under which the reconstruction of a target space is topologically correct via the Čech complex or the Vietoris-Rips complex obtained from possibly noisy point cloud data. We provide two novel theoretical results. First, we describe sufficient conditions under which any non-empty intersection of finitely many Euclidean balls intersected with a positive reach set is contractible, so that the Nerve theorem applies for the restricted Čech complex. Second, we demonstrate the homotopy equivalence of a positive μ-reach set and its offsets. Applying these results to the restricted Čech complex and using the interleaving relations with the Čech complex (or the Vietoris-Rips complex), we formulate conditions guaranteeing that the target space is homotopy equivalent to the Čech complex (or the Vietoris-Rips complex), in terms of the μ-reach. Our results sharpen existing results. 

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4. Complex Neural Networks for Indoor Positioning with Complex-Valued Channel State Information

   https://doi.org/10.1109/GLOBECOM54140.2023.10437565  

   Yu, Hanzhi; Chen, Mingzhe; Yang, Zhaohui; Liu, Yuchen (December 2023, IEEE)
5. Freestanding complex-oxide membranes

   https://doi.org/10.1088/1361-648X/ac7dd5  

   Pesquera, David; Fernández, Abel; Khestanova, Ekaterina; Martin, Lane W (July 2022, Journal of Physics: Condensed Matter)

   Abstract Complex oxides show a vast range of functional responses, unparalleled within the inorganic solids realm, making them promising materials for applications as varied as next-generation field-effect transistors, spintronic devices, electro-optic modulators, pyroelectric detectors, or oxygen reduction catalysts. Their stability in ambient conditions, chemical versatility, and large susceptibility to minute structural and electronic modifications make them ideal subjects of study to discover emergent phenomena and to generate novel functionalities for next-generation devices. Recent advances in the synthesis of single-crystal, freestanding complex oxide membranes provide an unprecedented opportunity to study these materials in a nearly-ideal system (e.g. free of mechanical/thermal interaction with substrates) as well as expanding the range of tools for tweaking their order parameters (i.e. (anti-)ferromagnetic, (anti-)ferroelectric, ferroelastic), and increasing the possibility of achieving novel heterointegration approaches (including interfacing dissimilar materials) by avoiding the chemical, structural, or thermal constraints in synthesis processes. Here, we review the recent developments in the fabrication and characterization of complex-oxide membranes and discuss their potential for unraveling novel physicochemical phenomena at the nanoscale and for further exploiting their functionalities in technologically relevant devices. 

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