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    Maximal Orientations of Graphs

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    Orientations of connected graphs that maximize the spectral norm of the adjacency matrix are studied, and a conjecture of Hoppen, Monsalve and Trevisan is solved

    Skew compressions of positive definite operators and matrices

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    The paper is devoted to results connecting the eigenvalues and singular values of operators composed by PGPP^\ast G P with those composed in the same way by QG1QQG^{−1}Q^\ast. Here P+Q=IP +Q = I are skew complementary projections on a finite-dimensional Hilbert space and GG is a positive definite linear operator on this space. Also discussed are graph theoretic interpretations of one of the results

    Some notes on quantum Hellinger divergences with Heinz means

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    The information geometry, convexity, in-betweenness property and the barycenter problem of quantum Hellinger divergences with Heinz means is studied. The limiting cases are also considered. &nbsp

    Quantifying rates of Quaternary landscape evolution in Grand Teton National Park using in situ cosmogenic 10Be, 14C, and 36Cl dating

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    In Grand Teton National Park (GTNP), both glacial and tectonic activity have played major roles in shaping the landscape. Here, we evaluate the impacts of late Quaternary Teton Fault slip and subglacial erosion in GTNP. We are in the process of using 10Be surface exposure dating to generate records of time-integrated Teton Fault slip at multiple locations throughout GTNP, which will allow us to assess spatial and temporal patterns tectonic activity over the past ~15 ka. We are also working to determine rates of subglacial erosion through 10Be-14C-36Cl triple isotope dating. The results obtained through this novel combination of cosmogenic nuclide techniques will contribute toward a unified view of landscape evolution in alpine environments.   Featured photo by Bonnie Robinson, taken from the AMK Ranch photo collection

    Kristof, Nicholas, and WuDunn, Sheryl (2020) Tightrope: Americans Reaching for Hope, Knopf, NY.

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    Two Poems: ‘The Goddesses of Democracy Go Out Drinking and Dancing’, ‘Josephine Habeck Kurth’

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    Two Poems: ‘upward class (im)mobility’, ‘first gen hurt’

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    Behavioral plasticity of large mammals in the Rocky Mountain to variation in temperature

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    Behavioral plasticity, the alteration of behavior in response to stimuli, is becoming increasingly important in the context of rapid climate change. Despite research demonstrating that climatic changes are already impacting species’ behavior worldwide, there are relatively few studies that have compared behavioral plasticity in response to increasing temperatures across species. We quantified behavioral plasticity in response to variation in summer temperatures in 17 populations across 9 species of large mammals in the Rocky Mountains. All study populations displayed behavioral plasticity in response to increasing temperatures, modifying their habitat selection and movement characteristics. We also found that there was significant variation in behavioral responses, both within and among populations. Our work demonstrates the capacity (and limits) of large mammals to mitigate rapid environmental change through behavioral plasticity, while simultaneously providing valuable information to wildlife managers on the strategic allocation of limited resources to best facilitate plasticity and population persistence.   Featured photo by Yellowstone National Park on Flickr (https://flic.kr/p/zz6xmy)

    Singular Values, Eigenvalues and Diagonal Elements Of The Commutator Of 2 x 2 Rank One Matrices

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    The region of singular values of the commutator XY − Y X for 2 × 2 rank one complex matrices X and Y is determined. This answers in affirmative a conjecture raised in [D. Wenzel. A strange phenomenon for the singular values of commutators with rank one matrices. Electron. J. Linear Algebra, 30:649–669, 2015.] when 2 × 2 matrices are concerned. The approach and proofs also lead to a complete relation between the singular values, eigenvalues and diagonal elements of the commutator under consideration

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