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024 7 $a10.1007/978-3-031-50466-2
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035   $a(DE-He213)978-3-031-50466-2
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100   $a20240919d2024      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOptimal Transport on Quantum Structures /$fedited by Jan Maas, Simone Rademacher, Tamás Titkos, Dániel Virosztek
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (327 pages)
225 1 $aBolyai Society Mathematical Studies,$x2947-9460 ;$v29
311 08$a3-031-50465-8 
327   $aPreface -- Chapter 1. An Introduction to Optimal Transport and Wasserstein Gradient Flows by Alessio Figalli -- Chapter 2. Dynamics and Quantum Optimal Transport:Three Lectures on Quantum Entropy and Quantum Markov Semigroups by Eric A. Carlen -- Chapter 3. Quantum Couplings and Many-body Problems by Francois Golse -- Chapter 4. Quantum Channels and Qubits by Giacomo De Palma and Dario Trevisan -- Chapter 5. Entropic Regularised Optimal Transport in a Noncommutative Setting by Lorenzo Portinale -- Chapter 6. Logarithmic Sobolev Inequalities for Finite Dimensional Quantum Markov Chains by Cambyse Rouzé.
330   $aThe flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on classical optimal transport and Wasserstein gradient flows dynamics and quantum optimal transport quantum couplings and many-body problems quantum channels and qubits These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erdös Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.
410  0$aBolyai Society Mathematical Studies,$x2947-9460 ;$v29
606   $aMathematics
606   $aMathematical analysis
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aMeasure theory
606   $aMathematics
606   $aAnalysis
606   $aGlobal Analysis and Analysis on Manifolds
606   $aMeasure and Integration
615  0$aMathematics.
615  0$aMathematical analysis.
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615  0$aMeasure theory.
615 14$aMathematics.
615 24$aAnalysis.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aMeasure and Integration.
676   $a530.12015196
700   $aMaas$b Jan$01769223
701   $aRademacher$b Simone$01769224
701   $aTitkos$b Tamás$01769225
701   $aVirosztek$b Dániel$01769226
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910887802603321
996   $aOptimal Transport on Quantum Structures$94237448
997   $aUNINA