Density not realizable as the Jacobian determinant of a bilipschitz map

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10330314" target="_blank" >RIV/00216208:11320/16:10330314 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/jaa-2016-0004" target="_blank" >http://dx.doi.org/10.1515/jaa-2016-0004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/jaa-2016-0004" target="_blank" >10.1515/jaa-2016-0004</a>

Result language
angličtina
Original language name
Density not realizable as the Jacobian determinant of a bilipschitz map
Original language description
Are every two separated nets in the plane bilipschitz equivalent? In the late 1990s, Burago and Kleiner and, independently, McMullen resolved this beautiful question negatively. Both solutions are based on a construction of a density function that is not realizable as the Jacobian determinant of a bilipschitz map. McMullen's construction is simpler than the Burago-Kleiner one, and we provide a full proof of its nonrealizability, which has not been available in the literature.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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