The Murnaghan-Nakayama rule for k-Schur functions

We prove the Murgnaghan--Nakayama rule for $k$-Schur functions of Lapointe and Morse, that is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a $k$-Schur function in terms of $k$-Schur functions. This is proved using the noncommutative $k$-Schur functions in terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmetric functions of Fomin and Greene.Comment: 23 pages, updated to reflect referee comments, to appear in Journal of Combinatorial Theory, Series

Pre-project monitoring of the Qwuloolt restoration in the Snohomish River Estuary

The Qwuloolt restoration site is approximately 150 hectares of former estuarine wetland in the Snohomish River system that will have tidal inundation returned via levee breach in late 2015. Qwuloolt is one of several large restoration projects planned for the Snohomish River estuary in the next decade for recovery of salmon and other biota, which together could restore several thousand acres and constitute one of the most significant restoration efforts in Puget Sound. In 2008 we began development and implementation of a comprehensive monitoring plan for Qwuloolt that evaluates a broad suite of abiotic and biotic attributes (e.g., land forms, hydrology, and chemistry; taxonomic composition of plant, invertebrate, fish, and bird assemblages). Four years of pre-breach data document clear contrasts between Qwuloolt and adjacent reference sites. Qwuloolt is subsided, hydrologically isolated, and its biota composed of relatively few species and dominated by nonnative, freshwater species. These results provide an invaluable foundation for scientifically rigorous post-breach evaluation of project performance, and contribute to estuary-wide understanding of cumulative effects of restoration and basic estuarine ecology of Puget Sound

Fully Enclosed Microfluidic Paper-Based Analytical Devices

This article introduces fully enclosed microfluidic paper-based analytical devices (microPADs) fabricated by printing toner on the top and bottom of the devices using a laser printer. Enclosing paper-based microfluidic channels protects the channels from contamination, contains and protects reagents stored on the device, contains fluids within the channels so that microPADs can be handled and operated more easily, and reduces evaporation of solutions from the channels. These benefits extend the capabilities of microPADs for applications as low-cost point-of-care diagnostic devices

Correction to Fully Enclosed Microfluidic Paper-Based Analytical Devices

There is an error in the units of the concentrations of potassium iodide and trehalose described in the experimental details on page 1581. The correct concentrations are 0.6 M potassium iodide and 0.3 M trehalose

The Murnaghan―Nakayama rule for k-Schur functions

We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions. This is proved using the noncommutative k-Schur functions in terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmetric functions of Fomin and Greene

Isoprene NO_3 Oxidation Products from the RO_2 + HO_2 Pathway

We describe the products of the reaction of the hydroperoxy radical (HO_2) with the alkylperoxy radical formed following addition of the nitrate radical (NO_3) and O_2 to isoprene. NO_3 adds preferentially to the C_1 position of isoprene (>6 times more favorably than addition to C_4), followed by the addition of O_2 to produce a suite of nitrooxy alkylperoxy radicals (RO_2). At an RO_2 lifetime of ∼30 s, δ-nitrooxy and β-nitrooxy alkylperoxy radicals are present in similar amounts. Gas-phase product yields from the RO_2 + HO_2 pathway are identified as 0.75–0.78 isoprene nitrooxy hydroperoxide (INP), 0.22 methyl vinyl ketone (MVK) + formaldehyde (CH_2O) + hydroxyl radical (OH) + nitrogen dioxide (NO_2), and 0–0.03 methacrolein (MACR) + CH_2O + OH + NO_2. We further examined the photochemistry of INP and identified propanone nitrate (PROPNN) and isoprene nitrooxy hydroxyepoxide (INHE) as the main products. INHE undergoes similar heterogeneous chemistry as isoprene dihydroxy epoxide (IEPOX), likely contributing to atmospheric secondary organic aerosol formation