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Origami-Based Deployable Ballistic Barrier, Kenny Seymour, Dakota Burrow, Alex Avila, Terri Bateman, David C. Morgan, Spencer P. Magleby, Larry L. Howell Sep 2018

Origami-Based Deployable Ballistic Barrier, Kenny Seymour, Dakota Burrow, Alex Avila, Terri Bateman, David C. Morgan, Spencer P. Magleby, Larry L. Howell

Faculty Publications

This paper demonstrates how recent developments in origami crease pattern adaptation, surrogate folds, and thickness accommodation techniques enabled development of an origami-based deployable ballistic barrier. The barrier crease pattern was employed using the membrane-fold technique for surrogate folds and to assist in thickness accommodation. A proof-of-concept barrier was fabricated and tested, demonstrating ballistic resistance, a large deployment ratio, and rapid deployment times.


Little Lasting Impact Of The Paleocene-Eocene Thermal Maximum On Shallow Marine Molluscan Faunas, Linda Ivany, Carlie Pietsch, John Handley, Rowan Lockwood, Warren Allmon, Jocelyn Sessa Sep 2018

Little Lasting Impact Of The Paleocene-Eocene Thermal Maximum On Shallow Marine Molluscan Faunas, Linda Ivany, Carlie Pietsch, John Handley, Rowan Lockwood, Warren Allmon, Jocelyn Sessa

Faculty Publications

Global warming, acidification, and oxygen stress at the Paleocene-Eocene Thermal Maximum (PETM) are associated with severe extinction in the deep sea and major biogeographic and ecologic changes in planktonic and terrestrial ecosystems, yet impacts on shallow marine macrofaunas are obscured by the incompleteness of shelf sections. We analyze mollusk assemblages bracketing (but not including) the PETM and find few notable lasting impacts on diversity, turnover, functional ecology, body size, or life history of important clades. Infaunal and chemosymbiotic taxa become more common, and body size and abundance drop in one clade, consistent with hypoxia-driven selection, but within-clade changes are not …


Reliable Delay Based Algorithm To Boost Puf Security Against Modeling Attacks, Fathi Amsaad, Mohammaed Niamat, Amer Dawoud, Selcuk Kose Sep 2018

Reliable Delay Based Algorithm To Boost Puf Security Against Modeling Attacks, Fathi Amsaad, Mohammaed Niamat, Amer Dawoud, Selcuk Kose

Faculty Publications

Silicon Physical Unclonable Functions (sPUFs) are one of the security primitives and state-of-the-art topics in hardware-oriented security and trust research. This paper presents an efficient and dynamic ring oscillator PUFs (d-ROPUFs) technique to improve sPUFs security against modeling attacks. In addition to enhancing the Entropy of weak ROPUF design, experimental results show that the proposed d-ROPUF technique allows the generation of larger and updated challenge-response pairs (CRP space) compared with simple ROPUF. Additionally, an innovative hardware-oriented security algorithm, namely, the Optimal Time Delay Algorithm (OTDA), is proposed. It is demonstrated that the OTDA algorithm significantly improves PUF reliability under varying …


Negative Energy Blowup Results For The Focusing Hartree Hierarchy Via Identities Of Virial And Localized Virial Type, Aynur Bulut Sep 2018

Negative Energy Blowup Results For The Focusing Hartree Hierarchy Via Identities Of Virial And Localized Virial Type, Aynur Bulut

Faculty Publications

We establish virial and localized virial identities for solutions to the Hartree hierarchy, an infinite system of partial differential equations which arises in mathematical modeling of many body quantum systems. As an application, we use arguments originally developed in the study of the nonlinear Schrödinger equation (see work of Zakharov, Glassey, and Ogawa–Tsutsumi) to show that certain classes of negative energy solutions must blowup in finite time. The most delicate case of this analysis is the proof of negative energy blowup without the assumption of finite variance; in this case, we make use of the localized virial estimates, combined with …


Preferencing Educational Choice: The Constitutional Limits, Derek Black Sep 2018

Preferencing Educational Choice: The Constitutional Limits, Derek Black

Faculty Publications

Rapidly expanding charter and voucher programs threaten a new education paradigm in which access to traditional public schools is no longer guaranteed in some communities. In some instances, choice programs are phasing out traditional public schools altogether. The most harmful effects of choice, however, occur at the local level, not the state level. Thus, this Article does not challenge the general constitutionality of choice programs. Instead, the Article identifies limitations that state constitutional rights to adequate and equal education place on choice policy.

First, states cannot preference private choice programs over public education. This conclusion flows from the fact that …


Sustaining Stem Initiatives: The Challenge Of A Worthy Investment, Melissa B. Crawford, Tyrslai M. Williams, Zakiya Wilson-Kennedy, Linda Hooper-Bui, Megan Stone, Isiah M. Warner Sep 2018

Sustaining Stem Initiatives: The Challenge Of A Worthy Investment, Melissa B. Crawford, Tyrslai M. Williams, Zakiya Wilson-Kennedy, Linda Hooper-Bui, Megan Stone, Isiah M. Warner

Faculty Publications

No abstract provided.


Effective Maxwell’S Equations For Perfectly Conducting Split Ring Resonators, Robert Lipton, Ben Schweizer Sep 2018

Effective Maxwell’S Equations For Perfectly Conducting Split Ring Resonators, Robert Lipton, Ben Schweizer

Faculty Publications

We analyze the time harmonic Maxwell’s equations in a geometry containing perfectly conducting split rings. We derive the homogenization limit in which the typical size η of the rings tends to zero. The split rings act as resonators and the assembly can act, effectively, as a magnetically active material. The frequency dependent effective permeability of the medium can be large and/or negative.


A Notion Of Minor-Based Matroid Connectivity, Zachary Gershkoff, James Oxley Sep 2018

A Notion Of Minor-Based Matroid Connectivity, Zachary Gershkoff, James Oxley

Faculty Publications

For a matroid N, a matroid M is N-connected if every two elements of M are in an N-minor together. Thus a matroid is connected if and only if it is U1,2-connected. This paper proves that U1,2 is the only connected matroid N such that if M is N-connected with |E(M)|>|E(N)|, then M\e or M/e is N-connected for all elements e. Moreover, we show that U1,2 and M(W2) are the only matroids N such that, whenever a matroid has an N-minor using {e,f} and an N-minor using {f,g}, it also has an N-minor using {e,g}. Finally, we show that …


Horizontal Dispersion Of Buoyant Materials In The Ocean Surface Boundary Layer, Jun Hong Liang, Xiaoliang Wan, Kenneth A. Rose, Peter P. Sullivan, James C. Mcwilliams Sep 2018

Horizontal Dispersion Of Buoyant Materials In The Ocean Surface Boundary Layer, Jun Hong Liang, Xiaoliang Wan, Kenneth A. Rose, Peter P. Sullivan, James C. Mcwilliams

Faculty Publications

The horizontal dispersion of materials with a constant rising speed under the exclusive influence of ocean surface boundary layer (OSBL) flows is investigated using both three-dimensional turbulence-resolving Lagrangian particle trajectories and the classical theory of dispersion in bounded shear currents generalized for buoyant materials. Dispersion in the OSBL is caused by the vertical shear of mean horizontal currents and by the turbulent velocity fluctuations. It reaches a diffusive regime when the equilibrium vertical material distribution is established. Diffusivity from the classical shear dispersion theory agrees reasonably well with that diagnosed using three-dimensional particle trajectories. For weakly buoyant materials that can …


The Mayer And Minimum Time Problems With Stratified State Constraints, C. Hermosilla, P. R. Wolenski, H. Zidani Sep 2018

The Mayer And Minimum Time Problems With Stratified State Constraints, C. Hermosilla, P. R. Wolenski, H. Zidani

Faculty Publications

This paper studies optimal control problems with state constraints by imposing structural assumptions on the constraint domain coupled with a tangential restriction with the dynamics. These assumptions replace pointing or controllability assumptions that are common in the literature, and provide a framework under which feasible boundary trajectories can be analyzed directly. The value functions associated with the state constrained Mayer and minimal time problems are characterized as solutions to a pair of Hamilton-Jacobi inequalities with appropriate boundary conditions. The novel feature of these inequalities lies in the choice of the Hamiltonian.


Cause And Consequence Of Aβ: Lipid Interactions In Alzheimer Disease Pathogenesis, Vijay Rangachari, Dexter N. Dean, Pratip Rana, Ashwin Vaidya, Preetam Ghosh Sep 2018

Cause And Consequence Of Aβ: Lipid Interactions In Alzheimer Disease Pathogenesis, Vijay Rangachari, Dexter N. Dean, Pratip Rana, Ashwin Vaidya, Preetam Ghosh

Faculty Publications

Self-templating propagation of protein aggregate conformations is increasingly becoming a significant factor in many neurological diseases. In Alzheimer disease (AD), intrinsically disordered amyloid-β (Aβ) peptides undergo aggregation that is sensitive to environmental conditions. High-molecular weight aggregates of Aβ that form insoluble fibrils are deposited as senile plaques in AD brains. However, low-molecular weight aggregates called soluble oligomers are known to be the primary toxic agents responsible for neuronal dysfunction. The aggregation process is highly stochastic involving both homotypic (Aβ-Aβ) and heterotypic (Aβ with interacting partners) interactions. Two of the important members of interacting partners are membrane lipids and surfactants, to …


Polynomial Fitting, R. Steven Turley Sep 2018

Polynomial Fitting, R. Steven Turley

Faculty Publications

This article reviews the theory and some good practice for fitting polynomials to data. I show by theory and example why fitting using a basis of orthogonal polynomials rather than monomials is desirable. I also show how to scale the independent variable for a more stable fit. I also demonstrate how to compute the uncertainty in the fit parameters. Finally, I discuss regression analysis: how to determine whether adding an additional term to the fit is justified.


Teaching Population Health: Innovations In The Integration Of The Healthcare And Public Health Systems, Rosemary M. Caron, Anne M. Hewitt, Julie H. Carmalt, Edmond A. Hooker Sep 2018

Teaching Population Health: Innovations In The Integration Of The Healthcare And Public Health Systems, Rosemary M. Caron, Anne M. Hewitt, Julie H. Carmalt, Edmond A. Hooker

Faculty Publications

Population health is a critical concept in healthcare delivery today. Many healthcare administrators are struggling to adapt their organization from fee-for-service to value delivery. Payers and patients expect healthcare leaders to understand how to deliver care under this new model. Health administration programs play a critical role in training future leaders of healthcare organizations to be adaptable and effective in this dynamic environment. The purpose of this research was to: (a) engage current educators of health administration students in a dialogue about the best practices of integrating the healthcare and public health systems; (b) identify the content and pedagogy for …


Framework Design For Weight-Average Molecular Weight Control In Semi-Batch Polymerization, S. D. Salas, N. Ghadipasha, W. Zhu, T. Mcafee, T. Zekoski, W. F. Reed, J. A. Romagnoli Sep 2018

Framework Design For Weight-Average Molecular Weight Control In Semi-Batch Polymerization, S. D. Salas, N. Ghadipasha, W. Zhu, T. Mcafee, T. Zekoski, W. F. Reed, J. A. Romagnoli

Faculty Publications

A framework that embraces a state-of-the-art sensor, multi-objective dynamic optimization, nonlinear state estimation and control, is designed and implemented to achieve target weight-average molecular weight trajectories. The Automatic Continuous Online Monitoring of Polymerization reactions (ACOMP) is combined for the first time with a nonlinear state observer for full polymer characterization and signal processing. A hybrid variation of the discrete-time extended Kalman filter (h-DEKF) is formulated based on an auto-tuning procedure that uses a stochastic global optimization technique. A number of optimal policies are generated and experimentally tested. Results are provided through investigations into the free-radical aqueous polymerization of acrylamide using …


Origins Of Ultradiffuse Galaxies In The Coma Cluster – I. Constraints From Velocity Phase Space, Adebusola Alabi, Anna Ferré-Mateu, Aaron Romanowsky, Jean Brodie, Duncan Forbes, Asher Wasserman, Sabine Bellstedt, Ignacio Martín-Navarro, Viraj Pandya, Maria Stone, Nobuhiro Okabe Sep 2018

Origins Of Ultradiffuse Galaxies In The Coma Cluster – I. Constraints From Velocity Phase Space, Adebusola Alabi, Anna Ferré-Mateu, Aaron Romanowsky, Jean Brodie, Duncan Forbes, Asher Wasserman, Sabine Bellstedt, Ignacio Martín-Navarro, Viraj Pandya, Maria Stone, Nobuhiro Okabe

Faculty Publications

We use Keck/DEIMOS spectroscopy to confirm the cluster membership of 16 ultradiffuse galaxies (UDGs) in the Coma cluster, bringing the total number of spectroscopically confirmed UDGs from the Yagi et al. (Y16) catalogue to 25. We also identify a new cluster background UDG, confirming that most (∼95 per cent) of the UDGs in the Y16 catalogue belong to the Coma cluster. In this pilot study of Coma UDGs in velocity phase space, we find evidence of a diverse origin for Coma cluster UDGs, similar to normal dwarf galaxies. Some UDGs in our sample are consistent with being late infalls into …


Linear Least Squares Curve Fitting, R. Steven Turley Sep 2018

Linear Least Squares Curve Fitting, R. Steven Turley

Faculty Publications

This article is a review of the theory and practice behind linear least squares curve fitting. It outlines how to find the optimal parameters to match experimental data with theory and how to estimate the uncertainty in those parameters. The article demonstrates and validates these calculations in Excel, MATLAB, Mathematica, Python, and Julia.


The Effectiveness Of Using Diversity To Select Multiple Classifier Systems With Varying Classification Thresholds, Harris K. Butler Iv, Mark A. Friend, Kenneth W. Bauer, Trevor J. Bihl Sep 2018

The Effectiveness Of Using Diversity To Select Multiple Classifier Systems With Varying Classification Thresholds, Harris K. Butler Iv, Mark A. Friend, Kenneth W. Bauer, Trevor J. Bihl

Faculty Publications

In classification applications, the goal of fusion techniques is to exploit complementary approaches and merge the information provided by these methods to provide a solution superior than any single method. Associated with choosing a methodology to fuse pattern recognition algorithms is the choice of algorithm or algorithms to fuse. Historically, classifier ensemble accuracy has been used to select which pattern recognition algorithms are included in a multiple classifier system. More recently, research has focused on creating and evaluating diversity metrics to more effectively select ensemble members. Using a wide range of classification data sets, methodologies, and fusion techniques, current diversity …


Fitting Parameter Uncertainties In Least Squares Fitting, R. Steven Turley Sep 2018

Fitting Parameter Uncertainties In Least Squares Fitting, R. Steven Turley

Faculty Publications

This article review the theory and practice of computing uncertainties in the fit parameters in least squares fits. It shows how to estimate the uncertainties and gives some numerical examples in Julia of their use. Examples are given and validated for both linear and nonlinear fits.


Pedagogy: How To Best Teach Population Health To Future Healthcare Leaders, Rosemary M. Caron, Edmond A. Hooker, Anne M. Hewitt, Julie H. Carmalt Sep 2018

Pedagogy: How To Best Teach Population Health To Future Healthcare Leaders, Rosemary M. Caron, Edmond A. Hooker, Anne M. Hewitt, Julie H. Carmalt

Faculty Publications

Our healthcare system is moving from a fee-for-service reimbursement model to one that provides payment for improvements in three areas related to care: quality, coordination, and cost. Healthcare organizations must use a population health approach when delivering care under this new paradigm. Health administration programs play a critical role in training future leaders of healthcare organizations to be adaptable and effective in this dynamic environment. The purpose of this research was to: (1) engage health administration educators in a dialogue about population health and its relevance to healthcare administration education; (2) describe pedagogical methods appropriate for teaching population health skills …


A Macro-Level Order Metric For Self-Organizing Adaptive Systems, David W. King, Gilbert L. Peterson Sep 2018

A Macro-Level Order Metric For Self-Organizing Adaptive Systems, David W. King, Gilbert L. Peterson

Faculty Publications

Analyzing how agent interactions affect macro-level self-organized behaviors can yield a deeper understanding of how complex adaptive systems work. The dynamic nature of complex systems makes it difficult to determine if, or when, a system has reached a state of equilibrium or is about to undergo a major transition reflecting the appearance of self-organized states. Using the notion of local neighborhood entropy, this paper presents a metric for evaluating the macro-level order of a system. The metric is tested in two dissimilar complex adaptive systems with self-organizing properties: An autonomous swarm searching for multiple dynamic targets and Conway's Game of …


Rational Design Of Superhydrophilic/Superoleophobic Surfaces For Oil-Water Separation Via Thiol-Acrylate Photopolymerization, Li Xiong, Wei Guo, Benjamin M. Alameda, Reese Sloan, William D. Walker, Derek L. Patton Aug 2018

Rational Design Of Superhydrophilic/Superoleophobic Surfaces For Oil-Water Separation Via Thiol-Acrylate Photopolymerization, Li Xiong, Wei Guo, Benjamin M. Alameda, Reese Sloan, William D. Walker, Derek L. Patton

Faculty Publications

We report a simple, rapid, and scalable strategy to fabricate surfaces exhibiting in-air superoleophobic/superhydrophilic wetting via sequential spray deposition and photopolymerization of nanoparticle-laden thiol–acrylate resins comprising both hydrophilic and oleophobic chemical constituents. The combination of spray deposition with nanoparticles provides hierarchical surface morphologies with both micro- and nanoscale roughness. Mapping the wetting behavior as a function of resin composition using high- and low-surface-tension liquid probes enabled facile identification of coatings that exhibit a range of wetting behavior, including superhydrophilic/superoleophilic, superhydrophobic/superoleophobic, and in-air superhydrophilic/superoleophobic wetting. In-air superhydrophilic/superoleophobic wetting was realized by a dynamic rearrangement of the interface to expose a greater …


The Distance Of The Dark Matter Deficient Galaxy Ngc 1052–Df2, Pieter Van Dokkum, Shany Danieli, Yotam Cohen, Aaron Romanowsky, Charlie Conroy Aug 2018

The Distance Of The Dark Matter Deficient Galaxy Ngc 1052–Df2, Pieter Van Dokkum, Shany Danieli, Yotam Cohen, Aaron Romanowsky, Charlie Conroy

Faculty Publications

We recently inferred that the galaxy NGC 1052–DF2 has little or no dark matter and a rich system of unusual globular clusters. We assumed that the galaxy is a satellite of the luminous elliptical galaxy NGC 1052 at ≈20 Mpc, on the basis of its surface brightness fluctuations (SBFs) distance of 19.0 ± 1.7 Mpc, its radial velocity of ≈1800 km s−1, and its projected position. Here we analyze the color–magnitude diagram (CMD) of NGC 1052–DF2, following the suggestion by Trujillo et al. that the tip of the red giant branch (TRGB) can be detected in currently available Hubble Space …


Product Innovation Design Based On Deep Learning And Kansei Engineering, Huafeng Quan, Shaobo Li, Jianjun Hu Aug 2018

Product Innovation Design Based On Deep Learning And Kansei Engineering, Huafeng Quan, Shaobo Li, Jianjun Hu

Faculty Publications

Creative product design is becoming critical to the success of many enterprises. However, the conventional product innovation process is hindered by two major challenges: the difficulty to capture users’ preferences and the lack of intuitive approaches to visually inspire the designer, which is especially true in fashion design and form design of many other types of products. In this paper, we propose to combine Kansei engineering and the deep learning for product innovation (KENPI) framework, which can transfer color, pattern, etc. of a style image in real time to a product’s shape automatically. To capture user preferences, we combine Kansei …


Cubic Interpolation With Irregularly-Spaced Points In Julia 1.4, R. Steven Turley Aug 2018

Cubic Interpolation With Irregularly-Spaced Points In Julia 1.4, R. Steven Turley

Faculty Publications

This article shows how to interpolate between regularly- or irregularly-spaced points in Julia 1.4. It has derivations of the theory behind cubic splines, and piece-wise cubic hermite polynomial interpolation. The spline interpolants are continuous and have continuous first and second derivatives. The hermite polynomial interpolants are continuous and have continuous first derivatives. Three techniques are implemented to determine the slope at the data points for the interpolation (knots). One uses the average slope of the neighboring segments. Another use the quadratic polynomial passing through the point and its two neighbors. The third, PCHIP, is similar to the first method, but …


The Sluggs Survey: The Inner Dark Matter Density Slope Of The Massive Elliptical Galaxy Ngc 1407, Asher Wasserman, Aaron Romanowsky, Jean Brodie, Pieter Van Dokkum, Charlie Conroy, Alexa Villaume, Duncan Forbes, Jay Strader, Adebusola Alabi, Sabine Bellstedt Aug 2018

The Sluggs Survey: The Inner Dark Matter Density Slope Of The Massive Elliptical Galaxy Ngc 1407, Asher Wasserman, Aaron Romanowsky, Jean Brodie, Pieter Van Dokkum, Charlie Conroy, Alexa Villaume, Duncan Forbes, Jay Strader, Adebusola Alabi, Sabine Bellstedt

Faculty Publications

We investigate the dark matter density profile of the massive elliptical galaxy, NGC 1407, by constructing spherically symmetric Jeans models of its field star and globular cluster systems. Two major challenges in such models are the degeneracy between the stellar mass and the dark matter halo profiles, and the degeneracy between the orbital anisotropy of the tracer population and the total mass causing the observed motions. We address the first issue by using new measurements of the mass-to-light ratio profile from stellar population constraints that include a radially varying initial mass function. To mitigate the mass–anisotropy degeneracy, we make use …


Measurement Of The Spectral Function For The Τ− → K−KSΝΤ Decay, J.P. Lees, V. Porieau, V. Tisserand, E. Grauges, A. Palano, G. Eigen, D. N. Brown, Yu G. Kolomensky, M. Fritsch, H. Koch, T. Schroeder, C. Hearty, T. S. Mattison, J. A. Mckenna, R. Y. So, V. E. Blinov, A. R. Buzykaev, V. P. Druzhinin, V. B. Golubev, Milind Purohit, Et. Al. Aug 2018

Measurement Of The Spectral Function For The Τ− → K−KSΝΤ Decay, J.P. Lees, V. Porieau, V. Tisserand, E. Grauges, A. Palano, G. Eigen, D. N. Brown, Yu G. Kolomensky, M. Fritsch, H. Koch, T. Schroeder, C. Hearty, T. S. Mattison, J. A. Mckenna, R. Y. So, V. E. Blinov, A. R. Buzykaev, V. P. Druzhinin, V. B. Golubev, Milind Purohit, Et. Al.

Faculty Publications

The decay τ−→K−KSντ has been studied using 430 × 106 e+e− → τ+τ− events produced at a center-of-mass energy around 10.6 GeV at the PEP-II collider and studied with the BABAR detector. The mass spectrum of the K−KS system has been measured and the spectral function has been obtained. The measured branching fraction B(τ− → K−KSντ) =(0.739 ± 0.011(stat) ± 0.020(syst)) × 10−3 is found to be in agreement with earlier measurements.


Optimized Quantum F-Divergences, Mark M. Wilde Aug 2018

Optimized Quantum F-Divergences, Mark M. Wilde

Faculty Publications

The quantum relative entropy is a measure of the distinguishability of two quantum states, and it is a unifying concept in quantum information theory: many information measures such as entropy, conditional entropy, mutual information, and entanglement measures can be realized from it. As such, there has been broad interest in generalizing the notion to further understand its most basic properties, one of which is the data processing inequality. The quantum f-divergence of Petz is one generalization of the quantum relative entropy, and it also leads to other relative entropies, such as the Petz-Renyi relative entropies. In this contribution, I introduce …


Recoverability For Holevo's Just-As-Good Fidelity, Mark M. Wilde Aug 2018

Recoverability For Holevo's Just-As-Good Fidelity, Mark M. Wilde

Faculty Publications

Holevo's just-as-good fidelity is a similarity measure for quantum states that has found several applications. One of its critical properties is that it obeys a data processing inequality: the measure does not decrease under the action of a quantum channel on the underlying states. In this paper, I prove a refinement of this data processing inequality that includes an additional term related to recoverability. That is, if the increase in the measure is small after the action of a partial trace, then one of the states can be nearly recovered by the Petz recovery channel, while the other state is …


A Deficit Of Dark Matter From Jeans Modeling Of The Ultra-Diffuse Galaxy Ngc 1052-Df2, Asher Wasserman, Aaron Romanowsky, Jean Brodie, Pieter Van Dokkum, Charlie Conroy, Roberto Abraham, Yotam Cohen, Shany Danieli Aug 2018

A Deficit Of Dark Matter From Jeans Modeling Of The Ultra-Diffuse Galaxy Ngc 1052-Df2, Asher Wasserman, Aaron Romanowsky, Jean Brodie, Pieter Van Dokkum, Charlie Conroy, Roberto Abraham, Yotam Cohen, Shany Danieli

Faculty Publications

The discovery of the ultra-diffuse galaxy NGC 1052-DF2 and its peculiar population of star clusters has raised new questions about the connections between galaxies and dark matter (DM) halos at the extremes of galaxy formation. In light of debates over the measured velocity dispersion of its star clusters and the associated mass estimate, we constrain mass models of DF2 using its observed kinematics with a range of priors on the halo mass. Models in which the galaxy obeys a standard stellar-halo mass relation are in tension with the data and also require a large central density core. Better fits are …


Optimized Quantum F-Divergences And Data Processing, Mark M. Wilde Aug 2018

Optimized Quantum F-Divergences And Data Processing, Mark M. Wilde

Faculty Publications

The quantum relative entropy is a measure of the distinguishability of two quantum states, and it is a unifying concept in quantum information theory: many information measures such as entropy, conditional entropy, mutual information, and entanglement measures can be realized from it. As such, there has been broad interest in generalizing the notion to further understand its most basic properties, one of which is the data processing inequality. The quantum f-divergence of Petz is one generalization of the quantum relative entropy, and it also leads to other relative entropies, such as the Petz-Rényi relative entropies. In this paper, I introduce …