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View article: Anti-Vietoris--Rips metric thickenings and Borsuk graphs
Anti-Vietoris--Rips metric thickenings and Borsuk graphs Open
For $X$ a metric space and $r\ge 0$, the anti-Vietoris-Rips metric thickening $\mathrm{AVR^m}(X;r)$ is the space of all finitely supported probability measures on $X$ whose support has spread at least $r$, equipped with an optimal transpor…
View article: Homotopy connectivity of Čech complexes of spheres
Homotopy connectivity of Čech complexes of spheres Open
Let $S^n$ be the $n$-sphere with the geodesic metric and of diameter $π$. The intrinsic Čech complex of $S^n$ at scale $r$ is the nerve of all open balls of radius $r$ in $S^n$. In this paper, we show how to control the homotopy connectivi…
View article: Geographic risk assessment of Batrachochytrium salamandrivorans invasion in Costa Rica as a means of informing emergence management and mitigation
Geographic risk assessment of Batrachochytrium salamandrivorans invasion in Costa Rica as a means of informing emergence management and mitigation Open
Remotely-sensed risk assessments of emerging, invasive pathogens are key to targeted surveillance and outbreak responses. The recent emergence and spread of the fungal pathogen, Batrachochytrium salamandrivorans ( Bsal ), in Europe has neg…
View article: Impacts of urbanization on the health of American Robins (<i>Turdus migratorus</i>) in Chicagoland
Impacts of urbanization on the health of American Robins (<i>Turdus migratorus</i>) in Chicagoland Open
Wild animals in urbanized environments face several unique challenges, including increased anthropogenic stressors, decreased natural food availability and quality, and increased pollutant exposure. While some work has shown that individua…
View article: Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
Lower Bounding the Gromov--Hausdorff distance in Metric Graphs Open
Let $G$ be a finite, connected metric graph and let $X\subseteq G$ be a subset. If $X$ is sufficiently dense in $G$, we show that the Gromov--Hausdorff distance matches the Hausdorff distance, namely $d_\gh(G,X)=d_\h(G,X)$. When the metric…
View article: Persistent equivariant cohomology
Persistent equivariant cohomology Open
This article has two goals. First, we hope to give an accessible introduction to persistent equivariant cohomology. Given a topological group $G$ acting on a filtered space, persistent Borel equivariant cohomology measures not only the sha…
View article: Gentrification drives patterns of alpha and beta diversity in cities
Gentrification drives patterns of alpha and beta diversity in cities Open
While there is increasing recognition that social processes in cities like gentrification have ecological consequences, we lack nuanced understanding of the ways gentrification affects urban biodiversity. We analyzed a large camera trap da…
View article: Strange Random Topology of the Circle
Strange Random Topology of the Circle Open
A paradigm in topological data analysis asserts that persistent homology should be computed to recover the homology of a data manifold. But could there be more to persistent homology? In this paper I bound probabilities that a random m Čec…
View article: An Acute Mortality Event Associated with Novel Macrorhabdus ornithogaster Infection and Underlying Factors in a Newly-Established Captive Group of American White Ibis (Eudocimus albus) Nestlings
An Acute Mortality Event Associated with Novel Macrorhabdus ornithogaster Infection and Underlying Factors in a Newly-Established Captive Group of American White Ibis (Eudocimus albus) Nestlings Open
Twenty-four American white ibis (Eudocimus albus) nestlings were collected in Florida (USA) on 17 April 2017 to establish a captive flock. On 7 May 2017, three birds died suddenly, following severe lethargy, hemorrhaging from the mouth and…
View article: Geographic risk assessment of<i>Batrachochytrium salamandrivorans</i>invasion in Costa Rica as a means of informing emergence management and mitigation
Geographic risk assessment of<i>Batrachochytrium salamandrivorans</i>invasion in Costa Rica as a means of informing emergence management and mitigation Open
Remotely-sensed risk assessments of emerging, invasive pathogens are key to targeted surveillance and outbreak responses. The recent emergence and spread of the fungal pathogen, Batrachochytrium salamandrivorans ( Bsal ), in Europe has neg…
View article: Hausdorff vs Gromov-Hausdorff distances
Hausdorff vs Gromov-Hausdorff distances Open
Let $M$ be a closed Riemannian manifold and let $X\subseteq M$. If the sample $X$ is sufficiently dense relative to the curvature of $M$, then the Gromov-Hausdorff distance between $X$ and $M$ is bounded from below by half their Hausdorff …
View article: A single Haemoproteus plataleae haplotype is widespread in white ibis (Eudocimus albus) from urban and rural sites in southern Florida
A single Haemoproteus plataleae haplotype is widespread in white ibis (Eudocimus albus) from urban and rural sites in southern Florida Open
The American white ibis (Eudocimus albus), a common bird species in Florida, has become increasingly urban, with many populations relying heavily on urban and suburban habitats, which may alter parasite transmission. Parasites of ibis, esp…
View article: Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes Open
We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two metric spaces $X$ and~$Y$ can be lower bounded by the dist…
View article: Čech complexes of hypercube graphs
Čech complexes of hypercube graphs Open
A Čech complex of a finite simple graph $G$ is a nerve complex of balls in the graph, with one ball centered at each vertex. More precisely, let the Čech complex $\mathcal{N}(G,r)$ be the nerve of all closed balls of radius $\frac{r}{2}$ c…
View article: A Primer on Topological Data Analysis to Support Image Analysis Tasks in Environmental Science
A Primer on Topological Data Analysis to Support Image Analysis Tasks in Environmental Science Open
Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is …
View article: Vietoris thickenings and complexes have isomorphic homotopy groups
Vietoris thickenings and complexes have isomorphic homotopy groups Open
We study the relationship between metric thickenings and simplicial complexes associated to coverings of metric spaces. Let $\mathcal{U}$ be a cover of a separable metric space $X$ by open sets with a uniform diameter bound. The Vietoris c…
View article: The topology of projective codes and the distribution of zeros of odd maps
The topology of projective codes and the distribution of zeros of odd maps Open
We show that the size of codes in projective space controls structural results for zeros of odd maps from spheres to Euclidean space. In fact, this relation is given through the topology of the space of probability measures on the sphere w…
View article: Lions and contamination, triangular grids, and Cheeger constants
Lions and contamination, triangular grids, and Cheeger constants Open
Suppose each vertex of a graph is originally occupied by contamination, except for those vertices occupied by lions. As the lions wander on the graph, they clear the contamination from each vertex they visit. However, the contamination sim…
View article: Support vector machines and Radon's theorem
Support vector machines and Radon's theorem Open
A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes. The data points on the margin of this separating hyperplane are call…
View article: 2. How Do I Develop an Online Research Seminar? by Henry Adams
2. How Do I Develop an Online Research Seminar? by Henry Adams Open
Developing an online research seminar requires work, trial and error, and the willingness to experiment with something new.There are multiple benefits to running a research seminar online:• an online seminar is accessible to a more diverse…
View article: Effects of an anthropogenic diet on indicators of physiological challenge and immunity of white ibis nestlings raised in captivity
Effects of an anthropogenic diet on indicators of physiological challenge and immunity of white ibis nestlings raised in captivity Open
When wildlife forage and/or live in urban habitats, they often experience a shift in resource availability and dietary quality. Some species even use human handouts, such as bread, as well as human refuse, as a large part of their new diet…
View article: The movements of a recently urbanized wading bird reveal changes in season timing and length related to resource use
The movements of a recently urbanized wading bird reveal changes in season timing and length related to resource use Open
The American White Ibis (Eudocimus albus) is a nomadic wading bird that is increasing the amount of time spent foraging in urban areas, relying on artificial wetlands and other anthropogenic resources year-round. In this study, we explore …
View article: Gut microbiome shifts with urbanization and potentially facilitates a zoonotic pathogen in a wading bird
Gut microbiome shifts with urbanization and potentially facilitates a zoonotic pathogen in a wading bird Open
Microbial communities in the gastrointestinal tract influence many aspects of host health, including metabolism and susceptibility to pathogen colonization. These relationships and the environmental and individual factors that drive them a…
View article: EXPERIMENTAL INFECTIONS AND SEROLOGY INDICATE THAT AMERICAN WHITE IBIS (EUDOCIUMUS ALBUS) ARE COMPETENT RESERVOIRS FOR TYPE A INFLUENZA VIRUS
EXPERIMENTAL INFECTIONS AND SEROLOGY INDICATE THAT AMERICAN WHITE IBIS (EUDOCIUMUS ALBUS) ARE COMPETENT RESERVOIRS FOR TYPE A INFLUENZA VIRUS Open
The American White Ibis (Eudocimus albus) is a nomadic wading bird common to wetland habitats in the southeastern US. In south Florida, US, habitat depletion has driven many ibis to become highly urbanized. Although they forage in neighbor…
View article: The Federalist Regulation of Privacy: The Happy Incidents of State Regulatory Activity and Costs of Preemptive Federal Action
The Federalist Regulation of Privacy: The Happy Incidents of State Regulatory Activity and Costs of Preemptive Federal Action Open
The impact of society’s digital integration is difficult to articulate. It suffices to say much of our lives are now digitized, and digital technologies have yielded immeasurable benefits to the individual and society at large. Change hera…
View article: Gut microbiome shifts with urbanization and potentially facilitates a zoonotic pathogen in a wading bird
Gut microbiome shifts with urbanization and potentially facilitates a zoonotic pathogen in a wading bird Open
Microbial communities in the gastrointestinal tract influence many aspects of host health, including metabolism and susceptibility to pathogen colonization. These relationships and the environmental and individual factors that drive them a…
View article: The persistent homology of cyclic graphs
The persistent homology of cyclic graphs Open
We give an $O(n^2(k+\log n))$ algorithm for computing the $k$-dimensional persistent homology of a filtration of clique complexes of cyclic graphs on $n$ vertices. This is nearly quadratic in the number of vertices $n$, and therefore a lar…
View article: Assessing the contributions of intraspecific and environmental sources of infection in urban wildlife: <i>Salmonella enterica</i> and white ibis as a case study
Assessing the contributions of intraspecific and environmental sources of infection in urban wildlife: <i>Salmonella enterica</i> and white ibis as a case study Open
Conversion of natural habitats into urban landscapes can expose wildlife to novel pathogens and alter pathogen transmission pathways. Because transmission is difficult to quantify for many wildlife pathogens, mathematical models paired wit…
View article: From wetland specialist to hand-fed generalist: shifts in diet and condition with provisioning for a recently urbanized wading bird
From wetland specialist to hand-fed generalist: shifts in diet and condition with provisioning for a recently urbanized wading bird Open
Many wildlife species shift their diets to use novel resources in urban areas. The consequences of these shifts are not well known, and consumption of reliable—but low quality—anthropogenic food may present important trade-offs for wildlif…
View article: Supplementary material from "From wetland specialist to hand-fed generalist: shifts in diet and condition with provisioning for a recently urbanized wading bird"
Supplementary material from "From wetland specialist to hand-fed generalist: shifts in diet and condition with provisioning for a recently urbanized wading bird" Open
Many wildlife species shift their diets to use novel resources in urban areas. The consequences of these shifts are not well known, and consumption of reliable—but low quality—anthropogenic food may present important trade-offs for wildlif…