Existence of Optimal Transport Maps with Applications in Metric Geometry

Schultz, Timo

dc.contributor.author	Schultz, Timo
dc.date.accessioned	2020-05-27T08:06:33Z
dc.date.available	2020-05-27T08:06:33Z
dc.date.issued	2020
dc.identifier.isbn	978-951-39-8183-9
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/69257
dc.description.abstract		en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Jyväskylän yliopisto
dc.relation.ispartofseries	JYU Dissertations
dc.relation.haspart	<b>Artikkeli I:</b> Schultz, T. (2018). Existence of optimal transport maps in very strict CD(K,∞) -spaces. <i>Calculus of Variations and Partial Differential Equations, 57 (5), 139.</i> <a href="https://doi.org/10.1007/s00526-018-1414-y"target="_blank"> DOI: 10.1007/s00526-018-1414-y</a>
dc.relation.haspart	<b>Artikkeli II:</b> Rajala, T. and Schultz T.Optimal transport maps on Alexandrov spaces revisited. <i>Preprint.</i> <a href="https://arxiv.org/abs/1803.10023"target="_blank"> arXiv:1803.10023 </a>
dc.relation.haspart	<b>Artikkeli III:</b> Schultz, T. Equivalent definitions of very strict CD(K, N)-spaces. <i>Preprint.</i> <a href="https://arxiv.org/abs/1906.07693"target="_blank"> arXiv:1906.07693</a>
dc.relation.haspart	<b>Artikkeli IV:</b> Schultz, T. On one-dimensionality of metric measure spaces. <i>Proc. Amer. Math.Soc., to appear.</i>
dc.rights	In Copyright
dc.subject	differentiaaligeometria
dc.subject	matemaattinen optimointi
dc.subject	mittateoria
dc.subject	metriset avaruudet
dc.title	Existence of Optimal Transport Maps with Applications in Metric Geometry
dc.type	doctoral thesis
dc.identifier.urn	URN:ISBN:978-951-39-8183-9
dc.contributor.tiedekunta	Faculty of Mathematics and Science	en
dc.contributor.tiedekunta	Matemaattis-luonnontieteellinen tiedekunta	fi
dc.contributor.yliopisto	University of Jyväskylä	en
dc.contributor.yliopisto	Jyväskylän yliopisto	fi
dc.type.coar	http://purl.org/coar/resource_type/c_db06
dc.relation.issn	2489-9003
dc.rights.copyright	© The Author & University of Jyväskylä
dc.rights.accesslevel	openAccess
dc.type.publication	doctoralThesis
dc.format.content	fulltext
dc.rights.url	https://rightsstatements.org/page/InC/1.0/