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Energies of Hypergraphs
No full textIn this paper, energies associated with hypergraphs are studied. More precisely, results are obtained for the incidence and the singless Laplacian energies of uniform hypergraphs. In particular, bounds for the incidence energy are obtained as functions of well known parameters, such as maximum degree, Zagreb index and spectral radius. It is also related the incidence and signless Laplacian energies of a hypergraph with the adjacency energies of its subdivision graph and line multigraph, respectively. In addition, the signless Laplacian energy for the class of the power hypergraphs is computed
Variation in seasonal movements, habitat selection, and demographics of an irruptive, facultative migrant
No full textUnderstanding how organisms respond to environmental variation is a primary goal in ecology, especially considering the rate and magnitude of anthropogenic change occurring worldwide. The extent to which facultative movements function in response to constraining conditions is unclear, and empirical examination of the proximate cues eliciting facultative behavior is limited. This study tests whether winter facultative movements by Great Gray Owls (GGOWs) in the Greater Yellowstone Ecosystem occur in response to constraining snow conditions, and how these conditions impact fitness. We outfitted GGOWs (n=40) with GPS transmitters, monitored reproductive output, and surveyed breeding-season prey abundance between 2014-2021. We will analyze movements and habitat selection using Net Square Displacement models, Resource Selection Functions, and analyses will incorporate remotely-sensed weather, geophysical, and landscape covariates. We will assess fitness metrics in relation to within-season prey abundance versus carry-over effects from the prior winter using Generalized Linear Mixed Models. Evaluation of facultative systems can indicate how animals use plasticity in movement behavior to cope with environmental change. This work also will identify determinants of fitness for a facultative migrant species, which is critical for understanding population dynamics in such systems.
Featured photo by Yellowstone National Park on Flickr (https://flic.kr/p/S519ZL)
Manno, A. (2020) Toxic Masculinity, Casino Capitalism, and America’s Favorite Card Game: The Poker Mindset. Palgrave Macmillan.
No full textStreib, J. (2020). Privilege Lost: Who Leaves the Upper Middle Class and How they Fall. Oxford University Press.
No full textNon-sparse Companion Matrices
No full textGiven a polynomial , a companion matrix can be thought of as a simple template for placing the coefficients of in a matrix such that the characteristic polynomial is . The Frobenius companion and the more recently-discovered Fiedler companion matrices are examples. Both the Frobenius and Fiedler companion matrices have the maximum possible number of zero entries, and in that sense are sparse. In this paper, companion matrices are explored that are not sparse. Some constructions of non-sparse companion matrices are provided, and properties that all companion matrices must exhibit are given. For example, it is shown that every companion matrix realization is non-derogatory. Bounds on the minimum number of zeros that must appear in a companion matrix, are also given
Inequalities for sector matrices and positive linear maps
No full textAndo proved that if A, B are positive definite, then for any positive linear map Φ, it holds Φ(A#λB) ≤ Φ(A)#λΦ(B), where A#λB, 0 ≤ λ ≤ 1, means the weighted geometric mean of A, B. Using the recently defined geometric mean for accretive matrices, Ando’s result is extended to sector matrices. Some norm inequalities are considered as well.
 
Behavioral complexities at high elevation: assessing prehistoric landscape use in the alpine regions of the Greater Yellowstone Ecosystem
No full textAlpine landscapes capture our imaginations. Envisioning these forbidding regions occupied by humans in prehistory has drawn academic and public audiences alike. The history of these alpine regions is being rewritten the world over, due in part to recent archaeological discoveries made in the alpine regions of the Greater Yellowstone Ecosystem (GYE). These discoveries, some in the wilderness areas of Montana, have revealed a complex tapestry of prehistoric lifeways. Archaeological and paleobiological research in Montana’s GYE alpine regions by Dr. Craig Lee (INSTAAR/ PCRG), Dr. Rachel Reckin (USFS) and Scott Dersam (PCRG) have spearheaded these continued multi-disciplinary studies in the region. Their efforts have focused on the climatological, ecological, as well as cultural impacts of ice patch use and alpine habitation on patterns of prehistoric occupation in the region. The UW-NPS Research Station Small Grant funded archaeological research and reconnaissance of the alpine regions of Montana’s Beartooth wilderness during the summer 2019. The 2019-field season’s discoveries added significant knowledge to regional research in high elevation studies, documenting the highest known stone circles, ceramics, and Paleoindian hunting activities in Montana.
Featured photo from figure 4 in report. 
Workers’ Identities in Transition: Deindustrialisation and Scottish Steelworkers
No full textDeindustrialisation is often characterised as an ending, with sentiments of intangible loss andidentity disintegration defining displaced workers’ narratives of job loss. These experiencesare important, yet workers do not cease to exist with the closure of their workplace. Despitethis, little attention has been paid to the post-redundancy employment experiences of formerheavy industry workers or the survivability of their specific occupational identities and workcultures. This article examines the post-redundancy employment of former Scottishsteelworkers. Given their previous immersion in a distinctive occupational culture, a study ofthe post-redundancy employment experiences of these workers offers a window into theafterlives of deindustrialisation. Oral history is indispensable in prioritising working-classperspectives, therefore this article draws on seventeen newly conducted oral history interviewswith former Scottish steelworkers who were made redundant in the early 1990s. In order tobetter understand the long-term impact of deindustrialisation, as well as gage the survivabilityof occupational identities and work cultures, this article examines the ways in whichsteelworkers’ post-redundancy employment contrasted with steelmaking, focusing on thefollowing thematic areas: the significance of work; trade unionism and collective values;masculinity and emasculation; occupational community and workplace culture
The inverse eigenvalue problem for Leslie matrices
No full textThe Nonnegative Inverse Eigenvalue Problem (NIEP) is the problem of determining necessary and sufficient conditions for a list of complex numbers to be the spectrum of an entry--wise nonnegative matrix of dimension . This is a very difficult and long standing problem and has been solved only for . In this paper, the NIEP for a particular class of nonnegative matrices, namely Leslie matrices, is considered. Leslie matrices are nonnegative matrices, with a special zero--pattern, arising in the Leslie model, one of the best known and widely used models to describe the growth of populations. The lists of nonzero complex numbers that are subsets of the spectra of Leslie matrices are fully characterized. Moreover, the minimal dimension of a Leslie matrix having a given list of three numbers among its spectrum is provided. This result is partially extended to the case of lists of n > 2 real numbers