Asymptotic Dimension

2017 ◽  
Author(s):  
Greg Bell
Keyword(s):  
Large Scale ◽  
Coxeter Groups ◽  
Metric Spaces ◽  
Braid Groups ◽  
Asymptotic Dimension ◽  
Surface Groups ◽  
Research Projects ◽  
Finitely Generated Group ◽  
Large Scale Geometry ◽  
Thompson’S Group

This chapter considers the notion of asymptotic dimension. It first provides an overview of asymptotic dimension before explaining the asymptotic dimensions of free abelian and nonabelian groups, free groups, groups, integers, metric spaces, and products. It then looks at the large-scale geometry of a Cayley graph of a finitely generated group, along with the topological notion of dimension and the large-scale notion of dimension. It also analyzes three typical questions that are asked about asymptotic dimension before concluding with some other examples of groups where something is known about their asymptotic dimension, such as braid groups, Artin groups, surface groups, hyperbolic groups, Coxeter groups, Thompson's group, and wreath product. The discussion includes exercises and research projects.

Office Hours with a Geometric Group Theorist

2017 ◽  
Keyword(s):  
Large Scale ◽  
Coxeter Groups ◽  
Free Groups ◽  
Braid Groups ◽  
Mapping Class ◽  
Gromov Hyperbolicity ◽  
Geometric Invariants ◽  
Automorphisms Of Free Groups ◽  
Thompson's Groups ◽  
Ping Pong

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This book brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. It features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

scholarly journals Current advances of epigenetics in periodontology from ENCODE project: a review and future perspectives

2021 ◽  
Vol 13 (1) ◽  
Author(s):  
Young-Dan Cho ◽  
Woo-Jin Kim ◽  
Hyun-Mo Ryoo ◽  
Hong-Gee Kim ◽  
Kyoung-Hwa Kim ◽  
...  
Keyword(s):  
Large Scale ◽  
Periodontal Diseases ◽  
Research Trends ◽  
Main Body ◽  
Research Projects ◽  
Encode Project ◽  
Dna Elements ◽  
Crucial Information ◽  
Future Direction ◽  
Systemic Health

Abstract Background The Encyclopedia of DNA Elements (ENCODE) project has advanced our knowledge of the functional elements in the genome and epigenome. The aim of this article was to provide the comprehension about current research trends from ENCODE project and establish the link between epigenetics and periodontal diseases based on epigenome studies and seek the future direction. Main body Global epigenome research projects have emphasized the importance of epigenetic research for understanding human health and disease, and current international consortia show an improved interest in the importance of oral health with systemic health. The epigenetic studies in dental field have been mainly conducted in periodontology and have focused on DNA methylation analysis. Advances in sequencing technology have broadened the target for epigenetic studies from specific genes to genome-wide analyses. Conclusions In line with global research trends, further extended and advanced epigenetic studies would provide crucial information for the realization of comprehensive dental medicine and expand the scope of ongoing large-scale research projects.

scholarly journals A Large-Scale COVID-19 Twitter Chatter Dataset for Open Scientific Research—An International Collaboration

Epidemiologia ◽  
2021 ◽  
Vol 2 (3) ◽  
pp. 315-324
Author(s):  
Juan M. Banda ◽  
Ramya Tekumalla ◽  
Guanyu Wang ◽  
Jingyuan Yu ◽  
Tuo Liu ◽  
...  
Keyword(s):  
Large Scale ◽  
Social Dynamics ◽  
Additional Data ◽  
Open Data ◽  
Data Sources ◽  
Research Projects ◽  
Research Groups ◽  
The World ◽  
Data Source

As the COVID-19 pandemic continues to spread worldwide, an unprecedented amount of open data is being generated for medical, genetics, and epidemiological research. The unparalleled rate at which many research groups around the world are releasing data and publications on the ongoing pandemic is allowing other scientists to learn from local experiences and data generated on the front lines of the COVID-19 pandemic. However, there is a need to integrate additional data sources that map and measure the role of social dynamics of such a unique worldwide event in biomedical, biological, and epidemiological analyses. For this purpose, we present a large-scale curated dataset of over 1.12 billion tweets, growing daily, related to COVID-19 chatter generated from 1 January 2020 to 27 June 2021 at the time of writing. This data source provides a freely available additional data source for researchers worldwide to conduct a wide and diverse number of research projects, such as epidemiological analyses, emotional and mental responses to social distancing measures, the identification of sources of misinformation, stratified measurement of sentiment towards the pandemic in near real time, among many others.

scholarly journals How to manage large-scale collaborative genomics research projects?

2017 ◽  
Vol 25 (5) ◽  
pp. 656-656
Author(s):  
Erinija Pranckevičienė ◽  
Vaidutis Kučinskas
Keyword(s):  
Large Scale ◽  
Research Projects ◽  
Genomics Research

scholarly journals Towards empathetic autism research: Developing an autism-specific Research Passport

2020 ◽  
Author(s):  
Maria Ashworth ◽  
Laura Crane ◽  
Robyn Steward ◽  
Melissa Bovis ◽  
Liz Pellicano
Keyword(s):  
Large Scale ◽  
Preliminary Evaluation ◽  
Research Projects ◽  
Community Members ◽  
Ongoing Research ◽  
Negative Experiences ◽  
Autism Research ◽  
Iterative Design ◽  
Large Scale Testing ◽  
Autistic Adults

Despite a dramatic increase in the amount of autism research taking place, autistic adults often report negative experiences of participating in such research. In other areas where community members report dissatisfaction (e.g., healthcare, criminal justice), ‘passports’ or ‘toolkits’ have been developed. In the current project, we created a Research Passport that could be used by autistic adults and autism researchers when engaging in research. Using a participatory framework, we designed and developed a Research Passport via an iterative design process. First, focus groups with autistic adults (n=9) and autism researchers (n=6) were used to elicit initial ideas for a Research Passport. Findings showed that the Research Passport (1) was perceived to be a useful idea, but not a panacea for all issues in autism research, (2) needed to be universal and flexible, and (3) could have a broad remit (e.g., to record scores on commonly-used standardized tasks that could, with permission, be shared with different researchers). Next, a preliminary evaluation of a prototype Research Passport was conducted via usability testing in three ongoing research projects. Nine autistic participants provided feedback (via a survey), as did three researchers (via interviews). We identified three themes from these data, highlighting how the Research Passport: (1) promoted positive participant-researcher relationships, (2) provided a structure and framework to support existing practices, and (3) needed to be adapted slightly to facilitate usability and manage expectations. Overall, the Research Passport was perceived to be useful in promoting empathetic autism research. Further design and large-scale testing are warranted.

Using practice analytics to understand variation and support re-flective practice: A protocol for a comprehensive digital health re-search program (Preprint)

2021 ◽  
Author(s):  
Anna Janssen ◽  
Stella Talic ◽  
Dragan Gasevic ◽  
Tim Shaw
Keyword(s):  
Clinical Practice ◽  
Professional Learning ◽  
Research Program ◽  
Health Professionals ◽  
Large Scale ◽  
Digital Health ◽  
Quality Care ◽  
Academic Disciplines ◽  
Research Projects ◽  
Electronic Data

BACKGROUND There is an increasing quantity of electronic data sitting within the health system. This data has untapped potential to improve clinical practice if extracted efficiently and harnessed to change the behavior of health professionals. Furthermore, there is an in-creasing expectation by government and peak bodies that both individual health pro-fessionals and healthcare organisations will be utilising electronic data for licensing and accreditation. OBJECTIVE The objective of this study is to understand how digital technology for harnessing elec-tronic health data can be used effectively by health professionals to support practice reflection. METHODS A multidisciplinary approach was used to connect academic experts from core disci-plines of Health and Medicine, Education and Learning Sciences, and Engineering and Information Communication Technology (ICT) with government and health services partners to identify key problems preventing the healthcare industry from using elec-tronic data to support health professional learning. The approach was used to design a large-scale research program to solve this problem. The program will be delivered by doctoral candidates undertaking research projects with discrete aims that run in paral-lel to achieve the program’s overarching objectives. RESULTS The research program commenced in March 2020. Since this time four PhD Candidates have commenced their research projects. Preliminary findings are expected from indi-vidual projects in late 2021. CONCLUSIONS The approach used in this research program has potential to successfully unpack elec-tronic data siloed within clinical sites and enable health professionals to use it to reflect on their practice and deliver high quality care. Key outputs of the program will include fostering stronger connections between industry and academia, interlinking doctoral research projects to solve complex problems, the creation of new knowledge for clinical sites on how data can be used to understand performance and strengthening profes-sional development programs to align them with clinical practice. Key contributions of this paper include presenting a description of Practice Analytics, and describing the foundational academic disciplines that contribute to it. It will also present a method for designing a Practice Analytics research program.

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