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Mathematics

D-Index
34
Citations
4749
World Ranking
2912
National Ranking
1183

Research.com Recognitions

  • 2017 - Fellow of the American Mathematical Society For contributions to the study of operator algebras, Banach spaces, harmonic analysis, and noncommutative probability, and for applications to quantum information theory.

Overview

Marius Junge is affiliated with the University of Illinois at Urbana-Champaign in the United States. Their research intersections span mathematics, computer science, and physics and astronomy, with a particularly strong focus on mathematical physics and quantum-related domains.

Their work encompasses multiple topics within advanced theoretical areas including:

  • Advanced Operator Algebra Research
  • Quantum Information and Cryptography
  • Quantum Mechanics and Applications
  • Quantum Computing Algorithms and Architecture
  • Geometric Analysis and Curvature Flows
  • Advanced Topics in Algebra
  • Advanced Thermodynamics and Statistical Mechanics

Marius Junge has a noteworthy record of publications appearing predominantly in venues that circulate advanced mathematics and mathematical physics research. Frequent publication venues include:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Communications in Mathematical Physics
  • Advances in Mathematics
  • Journal of Functional Analysis

Several recent papers illustrate the scope and depth of their research interests:

  • "Fisher Information and Logarithmic Sobolev Inequality for Matrix-Valued Functions," 2020, Annales Henri Poincaré
  • "Singular integrals in quantum Euclidean spaces," 2021, Memoirs of the American Mathematical Society
  • "Geometry of Banach Spaces: A New Route Towards Position Based Cryptography," 2022, Communications in Mathematical Physics
  • "Relative entropy for von Neumann subalgebras," 2020, International Journal of Mathematics
  • "The Communication Value of a Quantum Channel," 2022, IEEE Transactions on Information Theory

Frequent collaborators in their research include:

  • Li Gao
  • Nicholas LaRacuente
  • Carlos Palazuelos
  • Haojian Li
  • Michael Brannan

In recognition of contributions to their field, Marius Junge was named a Fellow of the American Mathematical Society in 2017 for work related to operator algebras, Banach spaces, harmonic analysis, noncommutative probability, and applications in quantum information theory.

Best Publications

  • Noncommutative Burkholder/Rosenthal inequalities

    Marius Junge;Quanhua Xu

  • Doob's inequality for non-commutative martingales

    Marius Junge

  • Noncommutative maximal ergodic theorems

    Marius Junge;Quanhua Xu

  • Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy

    Marius Junge;Renato Renner;David Sutter;Mark M. Wilde

  • Subspace Methods for Joint Sparse Recovery

    Kiryung Lee;Y. Bresler;M. Junge

  • Connes' embedding problem and Tsirelson's problem

    M. Junge;M. Navascues;C. Palazuelos;D. Perez-Garcia

  • Unbounded Violation of Tripartite Bell Inequalities

    D. Pérez-García;Michael M. Wolf;C. Palazuelos;I. Villanueva

  • A reduction method for noncommutative L_p-spaces and applications

    Uffe Haagerup;Marius Junge;Quanhua Xu

  • Superdense teleportation using hyperentangled photons.

    Trent M. Graham;Herbert J. Bernstein;Tzu Chieh Wei;Marius Junge

  • Bilinear Forms on Exact Operator Spaces and B(H) ⊗ B(H)

    M. Junge;G. Pisier;G. Pisier

  • Noncommutative Riesz transforms — a probabilistic approach

    Marius Junge;Tao Mei

  • Large Violation of Bell Inequalities with Low Entanglement

    M. Junge;C. Palazuelos

  • Smooth Fourier multipliers on group von Neumann algebras

    Marius Junge;Tao Mei;Javier Parcet

  • Multiplicativity of Completely Bounded p-Norms Implies a New Additivity Result

    Igor Devetak;Marius Junge;Christoper King;Mary Beth Ruskai

  • Noncommutative Burkholder/Rosenthal inequalities II: Applications

    Marius Junge;Quanhua Xu

  • A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS

    Marius Junge;Matthias Neufang;Zhong Jin Ruan

  • On the Best Constants in Some Non‐Commutative Martingale Inequalities

    Marius Junge;Quanhua Xu

  • H[∞]functional calculus and square functions on noncommutative L[p]-spaces

    Marius Junge;Christian Le Merdy;Quanhua Xu

  • Factorization theory for spaces of operators

    Marius Junge

  • BMO spaces associated with semigroups of operators

    Marius Junge;Tao Mei

  • Mixed-norm Inequalities and Operator Space Lp Embedding Theory

    Marius Junge;Javier Parcet

  • Universal recovery from a decrease of quantum relative entropy

    Marius Junge;Renato Renner;David Sutter;Mark M. Wilde

  • Operator space theory: a natural framework for bell inequalities.

    M. Junge;C. Palazuelos;D. Pérez-García;I. Villanueva

  • Bilinear forms on exact operator spaces andB(H)⊗B(H)

    Unknown

  • Connes' embedding problem and Tsirelson's problem

    M. Junge;M. Navascues;C. Palazuelos;D. Perez-Garcia

Frequent Co-Authors

Quanhua Xu
Quanhua Xu Harbin Institute of Technology
Yoram Bresler
Yoram Bresler University of Illinois at Urbana-Champaign
David Pérez-García
David Pérez-García Complutense University of Madrid
Andreas Defant
Andreas Defant Carl von Ossietzky University of Oldenburg
David W. Kribs
David W. Kribs University of Guelph
Mark M. Wilde
Mark M. Wilde Cornell University
Renato Renner
Renato Renner ETH Zurich
Fedor Sukochev
Fedor Sukochev University of New South Wales
Michael M. Wolf
Michael M. Wolf Technical University of Munich
Andreas Winter
Andreas Winter University of Cologne

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