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The affine matrix-ball construction (abbreviated AMBC) was developed by Chmutov, Lewis, Pylyavskyy, and Yudovina as an affine generalization of the Robinson–Schensted correspondence. We show that AMBC gives a simple way to compute a distinguished involution in each Kazhdan–Lusztig cell of an affine symmetric group. We then use AMBC to give the 1st known canonical presentation for the asymptotic Hecke algebras of extended affine symmetric groups. As an application, we show that AMBC gives a conceptual way to compute the Lusztig–Vogan bijection. For the latter, we build upon prior works of Achar and Rush.

Silver nanowire (Ag NW) networks have great potential to replace commercial transparent conducting oxides due to their superior properties in conjunction with their competitive cost, availability and mechanical flexibility. However, there are still challenges to overcome for the large scale utilization of Ag NWs in devices due to oxidation/sulfidation of NWs, which leads to performance loss. Here, we develop a solution-based strategy to deposit a thin platinum (Pt) shell layer (15 nm) onto Ag NWs to improve their chemical, environmental and electrochemical stabilities. Environmental and thermal stabilities of the core–shell NW networks were monitored under different relative humidity conditions (RH of 43, 75 and 85%) and temperature settings (75 °C for 120 hours and 150 °C for 40 hours) and compared to those of bare Ag NWs. Afterwards, stability of core–shell NW networks in hydrogen peroxide was investigated and compared to that of bare Ag NW networks. The potential window for electrochemical stability of the Ag NW networks was broadened to 0–1 V (vs. Ag/AgCl) upon Pt deposition, while bare Ag NWs were stable only in the 0–0.6 V range. Moreover, Ag–Pt core–shell NWs were used for the detection of hydrogen peroxide, where a high sensitivity of 0.04 μA μM−1 over a wide linear range of concentrations (16.6–990.1 μM) with a low detection limit (10.95 μM) was obtained for the fabricated sensors. All in all, this highly effective and simple strategy to improve the stability of Ag NWs will certainly open new avenues for their large-scale utilization in various electrochemical and sensing devices.

A thermal haptic device (THD) is used to implement temperature information in many virtual environments. The THD enables a user to feel the temperature as well as the thermal conductivity. Moreover, as temperature influences human emotion and preference, the THD enriches senses and experiences in a virtual environment. In this paper, we propose laser-assisted dual-function copper nanowire (CuNW) polyurethane acrylate (PUA) patterns for use as feedback controllable stretchable heaters as a 12-pixels THD, with highly enhanced mechanical and chemical durability. The CuNW–PUA pattern retains the stretchability from its serpentine mesh form, and the CuNW embedded in the PUA structure provides mechanical and chemical stability, facilitating a stable resistance. The CuNW–PUA pattern serves as a simultaneous heater and thermometer with accurate temperature control. Furthermore, the CuNW–PUA pattern is fabricated using a simple, fast, and elaborate laser process under ambient conditions. Finally, the CuNW–PUA pattern was used to realize heat transfer in various virtual environments in the form of 12-pixels on a nylon glove, showing potential for stretchable applications in next generation devices.

Subgraphs are rich substructures in graphs, and their nodes and edges can be partially observed in real-world tasks. Under partial observation, existing node- or subgraph-level message-passing produces suboptimal representations. In this paper, we formulate a novel task of learning representations of partially observed subgraphs. To solve this problem, we propose Partial Subgraph InfoMax (PSI) framework and generalize existing InfoMax models, including DGI, InfoGraph, MVGRL, and GraphCL, into our framework. These models maximize the mutual information between the partial subgraph's summary and various substructures from nodes to full subgraphs. In addition, we suggest a novel two-stage model with $k$-hop PSI, which reconstructs the representation of the full subgraph and improves its expressiveness from different local-global structures. Under training and evaluation protocols designed for this problem, we conduct experiments on three real-world datasets and demonstrate that PSI models outperform baselines., Comment: CIKM 2022 Short Paper (Camera-ready + Appendix)

The Stanley–Stembridge conjecture associates a symmetric function to each natural unit interval order $$\mathcal {P}$$ . In this paper, we define relations a la Knuth on the symmetric group for each $$\mathcal {P}$$ and conjecture that the associated $$\mathcal {P}$$ -Knuth equivalence classes are Schur-positive, refining theorems of Gasharov, Brosnan-Chow, Guay-Paquet, and Shareshian-Wachs. The resulting equivalence graphs fit into the framework of D graphs studied by Assaf. Furthermore, we conjecture that the Schur expansion is given by column-readings of $$\mathcal {P}$$ -tableaux that occur in the equivalence class. We prove these conjectures for $$\mathcal {P}$$ avoiding two specific suborders by introducing $$\mathcal {P}$$ -analog of Robinson–Schensted insertion, giving an answer to a long standing question of Chow.

Flexible micro/nano metal grid transparent conductors emerged as an alternative to the fragile/rigid indium tin oxide electrode. They are usually fabricated by the combination of the conventional photolithography and the vacuum deposition of regular metal grid patterns, however, seriously suffer from moiré and starburst problems induced by periodic regular pattern structures. In this paper, we demonstrated flexible and imperceptible random copper microconductors with an extremely high figure-of-merit (∼2000) by the thermal conduction layer-assisted photonic sintering of copper nanoparticles without damages in the plastic substrate. This process can be easily applied to complicated structures and surfaces including a random pattern which is imperceptible and free of interferences. As a proof-of-concept, a transparent windshield defogger in a car was demonstrated with a Cu transparent random conductor at an extreme and reversible fogging state.

Research on sustainable and high-efficiency energy devices has recently emerged as an important global issue. These devices are now moving beyond the form of a bulk, rigid platform to a portable, flexible/stretchable format that is easily available in our daily lives. Similar to the development of an active layer for the production of next-generation energy devices, the fabrication of flexible/stretchable electrodes for the easy flow of electrons is also very important. Silver nanowire electrodes have high electronic conductivity even in a flexible/stretchable state due to their high aspect ratio and percolation network structures compared to conventional electrodes. Herein, we summarize the research in the field of flexible/stretchable electronics on energy devices fabricated using silver nanowires as the electrodes. Additionally, for a systematic presentation of the current research trends, this review classifies the surveyed research efforts into the categories of energy production, storage, and consumption.