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Junge, Marius

  1. Noncommutative maximal ergodic theorems
    2005/05/14 by Junge, Marius, Xu, Quanhua · 7 citations
    #37A99 #46L55 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 46L53 #Secondary 46L50
  2. Smooth Fourier multipliers on group von Neumann algebras
    2010/10/26 by Marius Junge, Tao Mei, Junge, Marius +3 · 5 citations
    Mathematics · #42B15 #42B20 #42B25 #43A35 #46L51 #Advanced Harmonic Analysis Research #Advanced Operator Algebra Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Operator Algebras (math.OA)
  3. Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers
    2014/07/09 by Junge, Marius, Mei, Tao, Parcet, Javier · 3 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  4. Singular integrals in quantum Euclidean spaces
    2017/05/02 by González-Pérez, Adrián M., Junge, Marius, Parcet, Javier · 3 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  5. Smooth Fourier multipliers in group algebras via Sobolev dimension
    2015/05/20 by González-Pérez, Adrián M., Junge, Marius, Parcet, Javier · 2 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  6. Embedding of the operator space OH and the logarithmic `little Grothendieck inequality'
    2003/05/27 by Marius Junge, Junge, Marius · 1 citation
    Mathematics · #46L53 #46L54 #47L25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L53 #msc:46L54 #msc:47L25
  7. BMO-estimates for non-commutative vector valued Lipschitz functions
    2019/03/26 by Caspers, Martijn, Junge, Marius, Sukochev, Fedor +1 · 2 citations
    #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  8. Noncommutative Burkholder/Rosenthal inequalities II: applications
    2007/05/14 by Junge, Marius, Xu, Quanhua · 1 citation
    #46L07 #81S25 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 46L53 #Probability (math.PR) #Secondary
  9. Dilations and rigid factorisations on noncommutative Lp-spaces
    2008/03/31 by Junge, Marius, Merdy, Christian Le · 1 citation
    #46L07 #46L51 #48B28 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  10. A reduction method for noncommutative Lp-spaces and applications
    2008/06/23 by Haagerup, Uffe, Junge, Marius, Xu, Quanhua · 1 citation
    #46L07 #46L51 #47L30 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  11. Noncommutative martingale deviation and Poincaré type inequalities with applications
    2012/11/14 by Junge, Marius, Zeng, Qiang · 1 citation
    #46L53 #47D06 #60E15 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Probability (math.PR)
  12. Hypercontractivity in group von Neumann algebras
    2013/04/21 by Junge, Marius, Palazuelos, Carlos, Parcet, Javier +1 · 1 citation
    #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Operator Algebras (math.OA)
  13. Quantum Teleportation and Super-dense Coding in Operator Algebras
    2017/09/08 by Gao, Li, Harris, Samuel J., Junge, Marius · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Physics (quant-ph)
  14. On the spectral gap of random quantum channels
    2018/11/21 by González-Guillén, Carlos E., Junge, Marius, Nechita, Ion · 1 citation
    #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
  15. Algebraic Calderón-Zygmund theory
    2019/07/17 by Junge, Marius, Mei, Tao, Parcet, Javier +1 · 2 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  16. Complete Logarithmic Sobolev Inequalities via Ricci Curvature Bounded Below II
    2020/08/27 by Michael Brannan, Brannan, Michael, Li Gao +3 · 1 citation
    Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Markov Chains and Monte Carlo Methods
  17. Rosenthal's theorem for subspaces of noncommutative Lp
    2006/04/24 by Junge, Marius, Parcet, Javier · 1 citation
    #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)
  18. Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions
    2018/07/23 by Gao, Li, Junge, Marius, LaRacuente, Nicolas · 1 citation
    #37A35 #46L55 #94A15 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Information Theory (cs.IT) #Quantum Physics (quant-ph)
  19. Relative entropy decay and complete positivity mixing time
    2022/09/22 by Gao Li, Gao, Li, Marius Junge +5 · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Operator Algebras (math.OA) #Probability (math.PR) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications
  20. On the power of quantum entanglement in multipartite quantum XOR games
    2023/02/23 by Junge, Marius, Palazuelos, Carlos · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Quantum Physics (quant-ph)
  21. Resource-Dependent Complexity of Quantum Channels
    2023/03/20 by Araiza, Roy, Chen, Yidong, Junge, Marius +1 · 1 citation
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Physics (quant-ph)
  22. Transportation cost and contraction coefficient for channels on von Neumann algebras
    2025/06/04 by Roy Araiza, Marius Junge, Araiza, Roy +3 · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems