94 research outputs found
Bit threads in higher-curvature gravity
We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of threads emanating from a boundary region into the bulk. We show that the addition of higher-curvature terms adds corrections to the bit thread thickness that depend on the local geometry and thread orientation. Two different methods are given: determination of the density bound by requiring the maximum number of threads through a given surface to reproduce the entanglement entropy functional on that surface, and application of Lagrange dualization. The results of the two methods are applied to Gauss-Bonnet gravity as the simplest non-trivial example
Engaging Millennials in the Workplace
Over 70 million adults born between 1981 and 1996 make up the generation of adults referred to as millennials, the fastest-growing group making up the present-day workforce, with 56 million currently employed or looking for work. One in three individuals in the workplace is a millennial. Because millennials make up such a large portion of the workforce, it is imperative that employers better understand them and understand how to engage them. This 2-page fact sheet written by Lauren Headrick Sweeney, Matthew Benge, and Hannah Carter and published by the UF/IFAS Agricultural Education and Communication Department discusses offers some strategies.
http://edis.ifas.ufl.edu/wc32
Rényi entropies, the analytic bootstrap, and 3D quantum gravity at higher genus
We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge c > 1. This is the perturbative pure gravity partition function in three dimensions. We employ a sewing construction, in which the partition function is expressed as a sum of sphere four-point functions of Virasoro vacuum descendants. For this purpose, we develop techniques to efficiently compute correlation functions of holomorphic operators, which by crossing sym-metry are determined exactly by a finite number of OPE coefficients; this is an analytic implementation of the conformal bootstrap. Expanding the results in 1/c, corresponding to the semiclassical bulk gravity expansion, we find that — unlike at genus one — the result does not truncate at finite loop order. Our results also allow us to extend earlier work on multiple-interval Rényi entropies and on the partition function in the separating degeneration limit
Engaging Millennials in the Workplace
Over 70 million adults born between 1981 and 1996 make up the generation of adults referred to as millennials, the fastest-growing group making up the present-day workforce, with 56 million currently employed or looking for work. One in three individuals in the workplace is a millennial. Because millennials make up such a large portion of the workforce, it is imperative that employers better understand them and understand how to engage them. This 2-page fact sheet written by Lauren Headrick Sweeney, Matthew Benge, and Hannah Carter and published by the UF/IFAS Agricultural Education and Communication Department discusses offers some strategies.
http://edis.ifas.ufl.edu/wc32
JMASM24: Numerical Computing for Third-Order Power Method Polynomials (Excel)
The power method polynomial transformation is a popular procedure used for simulating univariate and multivariate non-normal distributions. It requires software that solves simultaneous nonlinear equations. Potential users of the power method may not have access to commercial software packages (e.g., Mathematica, Fortran). Therefore, algorithms are presented in the more commonly available Excel 2003 spreadsheets. The algorithms solve for (1) coefficients for polynomials of order three, (2) intermediate correlations and Cholesky factorizations for multivariate data generation, and (3) the values of skew and kurtosis for determining if a transformation will produce a valid power method probability density function (pdf). The Excel files are available at http://www.siu.edu/~epse1/headrick/PowerMethod3rd/ or can be requested from the author at [email protected]
Covariant bit threads
Abstract We derive several new reformulations of the Hubeny-Rangamani-Takayanagi covariant holographic entanglement entropy formula. These include: (1) a minimax formula, which involves finding a maximal-area achronal surface on a timelike hypersurface homologous to D(A) (the boundary causal domain of the region A whose entropy we are calculating) and minimizing over the hypersurface; (2) a max V-flow formula, in which we maximize the flux through D(A) of a divergenceless bulk 1-form V subject to an upper bound on its norm that is non-local in time; and (3) a min U-flow formula, in which we minimize the flux over a bulk Cauchy slice of a divergenceless timelike 1-form U subject to a lower bound on its norm that is non-local in space. The two flow formulas define convex programs and are related to each other by Lagrange duality. For each program, the optimal configurations dynamically find the HRT surface and the entanglement wedges of A and its complement. The V-flow formula is the covariant version of the Freedman-Headrick bit thread reformulation of the Ryu-Takayanagi formula. We also introduce a measure-theoretic concept of a “thread distribution”, and explain how Riemannian flows, V-flows, and U-flows can be expressed in terms of thread distributions
Spiraling effects of firefighters’ emotional demands and off-duty unhealthy behaviors: psychosocial resources and healthy behaviors as moderators
Unhealthy eating and substance use have been linked to numerous adverse long-term and short-term health and well-being outcomes; however, work-related predictors of these behaviors have been largely ignored. One possible explanation why individuals eat unhealthy foods and use substances is to cope with emotional job demands and their associated negative affect at the end of their shift. This may be especially relevant for firefighters as this occupation has been associated with high levels of stress, alcoholism, and obesity. In response, I develop a between-person structured diary study across firefighters’ work-and-rest cycle (5-time points across 4 days) to test two models that examine the interplay between emotional demands and unhealthy behavior (i.e., unhealthy eating and substance use). In Model 1 (N = 228), path analysis results show that emotional demands during the shift are positively related to negative affect at the end of the shift which, in turn, relates to increases in unhealthy eating and alcohol use during their off-duty time. Also, partner support for healthy eating (reported by the target firefighter’s significant other) moderates the relationship between negative affect and unhealthy eating, thereby weakening the indirect effect of emotional demands on unhealthy eating. Additional exploratory analyses found that the perception of a healthy diet norm among coworkers also buffered this relationship. In Model 2 (N = 231), path analysis results show that unhealthy eating and alcohol use during off-duty time are positively related to fatigue before the shift which, in turn, positively relates to the perception of emotional demands at work during the shift. Additionally, the number of sleep interruptions during the shift moderates the relationship between fatigue before the shift and emotional demands during the shift, thereby exacerbating the indirect effect of unhealthy eating and alcohol use during off-duty time on the perception of emotional demands during the shift. Theoretical and practical implications are discussed.Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01The student, Lucille Headrick, accepted the attached license on 2021-04-16 at 16:15.The student, Lucille Headrick, submitted this Dissertation for approval on 2021-04-16 at 16:26.This Dissertation was approved for publication on 2021-04-19 at 15:38.DSpace SAF Submission Ingestion Package generated from Vireo submission #16376 on 2021-09-16 at 17:03:34Made available in DSpace on 2021-09-17T02:34:34Z (GMT). No. of bitstreams: 2
HEADRICK-DISSERTATION-2021.pdf: 714687 bytes, checksum: e51e3c457a5ed6a79916550836250349 (MD5)
LICENSE.txt: 4213 bytes, checksum: a35213648ebcbbb5968732d168c3b0ad (MD5)
Previous issue date: 2021-04-19Embargo set by: Seth Robbins for item 118529
Lift date: 2023-09-17T02:34:57Z
Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD systemAuthor requested U of Illinois access only (OA after 2yrs) in Vireo ETD systemU of I Onl
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