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Published in 2021 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-021-01067-z
Abstract: We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple gluing of such. In one of our simplest constructions—the pocket-extension of a…
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Keywords:
groups defined;
isoperimetric profiles;
profiles random;
defined piecewise ... See more keywords
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Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106342
Abstract: We consider groups defined by non-empty balanced presentations with the property that each relator is of the form R(x,y), where x and y are distinct generators and R(.,.) is determined by some fixed cyclically reduced…
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Keywords:
defined balanced;
class digraph;
groups defined;
digraph groups ... See more keywords
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Published in 2019 at "Mathematical Notes"
DOI: 10.1134/s0001434619030027
Abstract: A graph Γ labeled by a set S defines a group G(Γ) whose set of generators is the set S of labels and whose relations are all words which can be read on closed paths…
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Keywords:
asphericity;
defined graphs;
asphericity groups;
graph ... See more keywords
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Published in 2021 at "Journal of the American Heart Association"
DOI: 10.1161/jaha.121.021724
Abstract: Background All of Us is a novel research program that aims to accelerate research in populations traditionally underrepresented in biomedical research. Our objective was to evaluate the burden of cardiovascular disease (CVD) in broadly defined…
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Keywords:
research;
groups defined;
underrepresented groups;
research program ... See more keywords