Marius Junge

1989 …2020
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Research Output 1989 2020

2019

BMO-estimates for non-commutative vector valued Lipschitz functions

Caspers, M., Junge, M., Sukochev, F. & Zanin, D., Jan 1 2019, (Accepted/In press) In : Journal of Functional Analysis. 278, 3, 108317.

Research output: Contribution to journalArticle

Markov Semigroups
Lipschitz Function
Vector-valued Functions
Dilation
Estimate

Generalized q-gaussian von Neumann algebras with coefficients I: Relative strong solidity

Junge, M. & Udrea, B., Jan 1 2019, In : Analysis and PDE. 12, 7, p. 1397-1463 67 p.

Research output: Contribution to journalArticle

Von Neumann Algebra
Algebra
Coefficient
Subset
L'Hôpital's Rule
D-space
Von Neumann Algebra
Factorization
Tensor Product
2018

Capacity bounds via operator space methods

Gao, L., Junge, M. & Laracuente, N., Dec 1 2018, In : Journal of Mathematical Physics. 59, 12, 122202.

Research output: Contribution to journalArticle

Operator Space
operators
Superadditivity
Estimate
Quantum Channel

Capacity Estimates via Comparison with TRO Channels

Gao, L., Junge, M. & LaRacuente, N., Nov 1 2018, In : Communications in Mathematical Physics. 364, 1, p. 83-121 39 p.

Research output: Contribution to journalArticle

Ternary
Ring
operators
Operator Space
Quantum Channel

Classical versus quantum communication in XOR games

Junge, M., Palazuelos, C. & Villanueva, I., May 1 2018, In : Quantum Information Processing. 17, 5, 117.

Research output: Contribution to journalArticle

Quantum communication
Quantum Communication
quantum communication
games
Communication Complexity

Harmonic Analysis Approach to Gromov–Hausdorff Convergence for Noncommutative Tori

Junge, M., Rezvani, S. & Zeng, Q., Mar 1 2018, In : Communications in Mathematical Physics. 358, 3, p. 919-994 76 p.

Research output: Contribution to journalArticle

Noncommutative Torus
harmonic analysis
Harmonic Analysis
Lipschitz
algebra

Heralded channel Holevo superadditivity bounds from entanglement monogamy

Gao, L., Junge, M. & Laracuente, N., Jun 1 2018, In : Journal of Mathematical Physics. 59, 6, 062203.

Research output: Contribution to journalArticle

Superadditivity
Entanglement
Quantum Channel
Quantum Games
Faithful

Noncommutative Riesz transforms-dimension free bounds and Fourier multipliers

Junge, M., Mei, T. & Parcet, J., Jan 1 2018, In : Journal of the European Mathematical Society. 20, 3, p. 529-595 67 p.

Research output: Contribution to journalArticle

Fourier multipliers
Riesz Transform
Algebra
Mathematical transformations
Discrete Laplacian

Uncertainty Principle for Quantum Channels

Gao, L., Junge, M. & Laracuente, N., Aug 15 2018, 2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers Inc., p. 996-1000 5 p. 8437730. (IEEE International Symposium on Information Theory - Proceedings; vol. 2018-June).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Quantum Channel
Uncertainty Principle
Mutual Information
Superadditivity
Lower bound

Universal Recovery Maps and Approximate Sufficiency of Quantum Relative Entropy

Junge, M., Renner, R., Sutter, D., Wilde, M. M. & Winter, A., Oct 1 2018, In : Annales Henri Poincare. 19, 10, p. 2955-2978 24 p.

Research output: Contribution to journalArticle

Quantum Entropy
Quantum Channel
Relative Entropy
Sufficiency
Recovery
2017

Asymmetric Doob inequalities in continuous time

Hong, G., Junge, M. & Parcet, J., Aug 15 2017, In : Journal of Functional Analysis. 273, 4, p. 1479-1503 25 p.

Research output: Contribution to journalArticle

Maximal Inequality
Filtration
Continuous Time
Conditional Expectation
Martingale

Blind Recovery of Sparse Signals From Subsampled Convolution

Lee, K., Li, Y., Junge, M. & Bresler, Y., Feb 2017, In : IEEE Transactions on Information Theory. 63, 2, p. 802-821 20 p., 7774998.

Research output: Contribution to journalArticle

Convolution
Recovery
Deconvolution
projection
guarantee

Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras

Junge, M., Sukochev, F. & Zanin, D., May 25 2017, In : Advances in Mathematics. 312, p. 473-546 74 p.

Research output: Contribution to journalArticle

Finite Von Neumann Algebras
Operator Ideals
Lp Spaces
Stefan Banach
Interpolation Spaces

Hypercontractivity in group von Neumann algebras

Junge, M., Palazuelos, C., Parcet, J. & Perrin, M., Sep 2017, In : Memoirs of the American Mathematical Society. 249, 1183, p. 1-102 102 p.

Research output: Contribution to journalArticle

Hypercontractivity
Differentiation (calculus)
Von Neumann Algebra
Group Algebra
Markov processes

Smooth fourier multipliers in group algebras via sobolev dimension

Gonzalez-Perez, A., Junge, M. & Parcet, J., Jul 1 2017, In : Annales Scientifiques de l'Ecole Normale Superieure. 50, 4, p. 879-925 47 p.

Research output: Contribution to journalArticle

Fourier multipliers
Group Algebra
Noncommutative Lp-spaces
Sobolev Embedding
Markov Semigroups
2016

Algebraic Davis Decomposition and Asymmetric Doob Inequalities

Hong, G., Junge, M. & Parcet, J., Sep 1 2016, In : Communications in Mathematical Physics. 346, 3, p. 995-1019 25 p.

Research output: Contribution to journalArticle

Hardy Space
martingales
decomposition
Decompose
Martingale

CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory

Junge, M. & Palazuelos, C., Jan 1 2016, In : International Mathematics Research Notices. 2016, 3, p. 875-925 51 p.

Research output: Contribution to journalArticle

Noncommutative Lp-spaces
Quantum Channel
Quantum Information Theory
Norm
Entanglement

Operator algebra approach to quantum capacities

Gao, L., Junge, M. & Laracuente, N., Aug 10 2016, Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., p. 1695-1699 5 p. 7541588. (IEEE International Symposium on Information Theory - Proceedings; vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Operator Algebras
Algebra
Mathematical operators
Interpolation
Entropy

Reducing the number of questions in nonlocal games

Junge, M., Oikhberg, T. & Palazuelos, C., Oct 1 2016, In : Journal of Mathematical Physics. 57, 10, 102203.

Research output: Contribution to journalArticle

games
Game
quotients
preserving
Quotient

Universal recoverability in quantum information

Junge, M., Renner, R., Sutter, D., Wilde, M. M. & Winter, A., Aug 10 2016, Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., p. 2494-2498 5 p. 7541748. (IEEE International Symposium on Information Theory - Proceedings; vol. 2016-August).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Quantum Information
Relative Entropy
Entropy
Recovery
Quantum Entropy
2015

Channel capacities via p-summing norms

Junge, M. & Palazuelos, C., Feb 6 2015, In : Advances in Mathematics. 272, p. 350-398 49 p.

Research output: Contribution to journalArticle

Channel Capacity
Norm
Quantum Channel
Functional Analysis
Information Theory

Hypercontractivity for free products

Junge, M., Palazuelos, C., Parcet, J., Perrin, M. & Ricard, É., Aug 1 2015, In : Annales Scientifiques de l'Ecole Normale Superieure. 48, 4, p. 861-889 29 p.

Research output: Contribution to journalArticle

Hypercontractivity
Free Product
Central limit theorem
Ornstein-Uhlenbeck Semigroup
Clifford Algebra

Hypercontractivity in finite-dimensional matrix algebras

Junge, M., Palazuelos, C., Parcet, J. & Perrin, M., Feb 9 2015, In : Journal of Mathematical Physics. 56, 2, 1.4907378.

Research output: Contribution to journalArticle

Hypercontractivity
Matrix Algebra
Finite Dimensional Algebra
algebra
Semigroup

Noncommutative martingale deviation and Poincaré type inequalities with applications

Junge, M. & Zeng, Q., Apr 1 2015, In : Probability Theory and Related Fields. 161, 3-4, p. 449-507 59 p.

Research output: Contribution to journalArticle

Deviation Inequalities
Martingale
Deviation
Random Matrices
Positive Curvature

Rank-one quantum games

Cooney, T., Junge, M., Palazuelos, C. & Pérez-García, D., Jan 1 2015, In : Computational Complexity. 24, 1, p. 133-196 64 p.

Research output: Contribution to journalArticle

Quantum Games
Communication
Game
Operator Space
Computability

Stability in blind deconvolution of sparse signals and reconstruction by alternating minimization

Lee, K., Li, Y., Junge, M. & Bresler, Y., Jul 2 2015, 2015 International Conference on Sampling Theory and Applications, SampTA 2015. Institute of Electrical and Electronics Engineers Inc., p. 158-162 5 p. 7148871. (2015 International Conference on Sampling Theory and Applications, SampTA 2015).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Blind Deconvolution
Deconvolution
Sparsity
Convolution
Ill-posedness

Superdense teleportation using hyperentangled photons

Graham, T. M., Bernstein, H. J., Wei, T. C., Junge, M. & Kwiat, P. G., May 28 2015, In : Nature communications. 6, 7185.

Research output: Contribution to journalArticle

Photons
resources
Angular momentum
photons
communication
2014

An invitation to harmonic analysis associated with semigroups of operators

Junge, M., Mei, T. & Parcet, J., 2014, Harmonic analysis and partial differential equations. Amer. Math. Soc., Providence, RI, Vol. 612. p. 107-122 16 p. (Contemp. Math.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Smooth Fourier multipliers on group von Neumann algebras

Junge, M., Mei, T. & Parcet, J., Dec 2 2014, In : Geometric and Functional Analysis. 24, 6, p. 1913-1980 68 p.

Research output: Contribution to journalArticle

Fourier multipliers
Von Neumann Algebra
Group Algebra
Cocycle
BMO Space

Subgaussian 1-cocycles on discrete groups

Junge, M. & Zeng, Q., Nov 20 2014, In : Journal of the London Mathematical Society. 92, 2, p. 242-264 23 p.

Research output: Contribution to journalArticle

Discrete Group
Cocycle
Walsh System
Imply
Spectral Gap

Theory of $scr H_p$-spaces for continuous filtrations in von Neumann algebras

Junge, M. & Perrin, M., 2014, In : Asterisque. 362, p. vi+134

Research output: Contribution to journalArticle

Theory of Hp-spaces for continuous filtrations in von neumann algebras

Junge, M. & Perrin, M., Jan 1 2014, In : Asterisque. 362, p. 1-140 140 p.

Research output: Contribution to journalArticle

Von Neumann Algebra
Filtration
Rosenthal Inequality
Analogue
Stopping Time
2013

Joint System Quantum Descriptions Arising from Local Quantumness

Cooney, T., Junge, M., Navascués, M., Pérez-García, D. & Villanueva, I., Sep 1 2013, In : Communications in Mathematical Physics. 322, 2, p. 501-513 13 p.

Research output: Contribution to journalArticle

Quantum Systems
Tensor
tensors
Commutativity
Quantum State

Noncommutative bennett and rosenthal inequalities

Junge, M. & Zeng, Q., Nov 1 2013, In : Annals of Probability. 41, 6, p. 4287-4316 30 p.

Research output: Contribution to journalArticle

Rosenthal Inequality
Compressed Sensing
Best Constants
Random variable
Projection

Oblique pursuits for compressed sensing

Lee, K., Bresler, Y. & Junge, M., Aug 28 2013, In : IEEE Transactions on Information Theory. 59, 9, p. 6111-6141 31 p., 6484162.

Research output: Contribution to journalArticle

Compressed sensing
guarantee
Byproducts
Data acquisition
Sampling

Oblique pursuits for compressed sensing with random anisotropic measurements

Lee, K., Bresler, Y. & Junge, M., Dec 19 2013, 2013 IEEE International Symposium on Information Theory, ISIT 2013. p. 849-853 5 p. 6620346. (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Compressed sensing
Compressed Sensing
Pursuit
Oblique
Recovery
2012

BMO spaces associated with semigroups of operators

Junge, M. & Mei, T., Mar 1 2012, In : Mathematische Annalen. 352, 3, p. 691-743 53 p.

Research output: Contribution to journalArticle

BMO Space
Fourier multipliers
Semigroups of Operators
Boundedness
Optimal Constants

Subspace methods for joint sparse recovery

Lee, K., Bresler, Y. & Junge, M., May 28 2012, In : IEEE Transactions on Information Theory. 58, 6, p. 3613-3641 29 p., 6158602.

Research output: Contribution to journalArticle

Recovery
guarantee
Array processing
Compressed sensing
Direction of arrival
2011

Connes' embedding problem and Tsirelson's problem

Junge, M., Navascues, M., Palazuelos, C., Perez-Garcia, D., Scholz, V. B. & Werner, R. F., Jan 5 2011, In : Journal of Mathematical Physics. 52, 1, 012102.

Research output: Contribution to journalArticle

Embedding Problem
embedding
algebra
Ultrapower
Imply

Large Violation of Bell Inequalities with Low Entanglement

Junge, M. & Palazuelos, C., Sep 1 2011, In : Communications in Mathematical Physics. 306, 3, p. 695-746 52 p.

Research output: Contribution to journalArticle

Bell's Inequality
Entanglement
bells
Entangled State
Coefficient

Q-chaos

Junge, M. & Lee, H. H., Oct 1 2011, In : Transactions of the American Mathematical Society. 363, 10, p. 5223-5249 27 p.

Research output: Contribution to journalArticle

Lp Estimates
Chaos theory
Chaos
Polynomials
Lp-norm

The GL-l.u.st. constant and asymmetry of the kalton-peck twisted sum in finite dimensions

Gordon, Y., Junge, M., Meyer, M. & Reisner, S., May 13 2011, In : Proceedings of the American Mathematical Society. 139, 8, p. 2793-2805 13 p.

Research output: Contribution to journalArticle

Hilbert spaces
Asymmetry
Order of Growth
n-dimensional
Hilbert space
2010

A reduction method for noncommutative Lp-Spaces and applications

Haagerup, U., Junge, M. & Xu, Q., Apr 1 2010, In : Transactions of the American Mathematical Society. 362, 4, p. 2125-2165 41 p.

Research output: Contribution to journalArticle

Noncommutative Lp-spaces
Reduction Method
Algebra
Martingale Inequality
Finite Von Neumann Algebras

A transference method in quantum probability

Junge, M. & Parcet, J., Sep 1 2010, In : Advances in Mathematics. 225, 1, p. 389-444 56 p.

Research output: Contribution to journalArticle

Quantum Probability
Norm
Operator Space
Independence

Maurey's factorization theory for operator spaces

Junge, M. & Parcet, J., Jan 1 2010, In : Mathematische Annalen. 347, 2, p. 299-338 40 p.

Research output: Contribution to journalArticle

Operator Space
Factorization
Completely Bounded Maps
Noncommutative Lp-spaces
Eigenvalue Estimates

Mixed-norm inequalities and operator space Lp embedding theory

Junge, M. & Parcet, J., 2010, Providence, R, I: American Mathematical Society.

Research output: Book/ReportBook

Mixed-norm inequalities and operator space L p embedding theory

Junge, M. & Parcet, J., Jan 1 2010, In : Memoirs of the American Mathematical Society. 203, 953, p. 1-161 161 p.

Research output: Contribution to journalArticle

Norm Inequality
Operator Space
Random variables
Random variable
Square Functions

Noncommutative Riesz transforms - A probabilistic approach

Junge, M. & Mei, T., Jun 1 2010, In : American Journal of Mathematics. 132, 3, p. 611-680 70 p.

Research output: Contribution to journalArticle

Sobolev Embedding
Completely Positive Maps
Riesz Transform
Probabilistic Approach
Discrete Group

Operator space theory: A natural framework for bell inequalities

Junge, M., Palazuelos, C., Pérez-García, D., Villanueva, I. & Wolf, M. M., Apr 29 2010, In : Physical review letters. 104, 17, 170405.

Research output: Contribution to journalArticle

Hilbert space
bells
operators
quantum mechanics
communication