Number theory meets wireless communications: an introduction for dummies like us
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Publication:2658386
DOI10.1007/978-3-030-61303-7_1zbMath1460.94003arXiv2006.16358OpenAlexW3038523815MaRDI QIDQ2658386
Sanju L. Velani, Victor V. Beresnevich
Publication date: 22 March 2021
Full work available at URL: https://arxiv.org/abs/2006.16358
wireless communicationsDiophantine approximationdegrees of freedomDirichlet's theoremjointly non-singular points
Related Items (2)
Quantitative Khintchine in simultaneous approximation ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
Cites Work
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- Non-planarity and metric Diophantine approximation for systems of linear forms
- Diophantine approximation and applications in interference alignment
- Hausdorff dimension of singular vectors
- Diophantine exponents and the Khintchine Groshev theorem
- Hausdorff dimension of the set of singular pairs
- Equidistribution of expanding translates of curves and Dirichlet's theorem on Diophantine approximation
- Badly approximable points on manifolds
- Dirichlet's theorem on Diophantine approximation and homogeneous flows
- Diophantine approximation
- Flows on homogeneous spaces and Diophantine approximation on manifolds
- Badly approximable points on planar curves and winning
- Singular systems of linear forms and non-escape of mass in the space of lattices
- Diophantine approximation on matrices and Lie groups
- A Groshev type theorem for convergence on manifolds
- On the Duffin-Schaeffer conjecture
- Quantitative Diophantine approximation on affine subspaces
- Badly approximable points on manifolds and unipotent orbits in homogeneous spaces
- A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
- Extremal subspaces and their submanifolds
- Badly approximable points on planar curves and a problem of Davenport
- Badly approximable systems of linear forms
- Khintchine's problem in metric diophantine approximation
- An extension of the Khinchin–Groshev theorem
- Real Interference Alignment: Exploiting the Potential of Single Antenna Systems
- The Approximate Sum Capacity of the Symmetric Gaussian <inline-formula> <tex-math notation="TeX">$K$ </tex-math></inline-formula>-User Interference Channel
- The set of badly approximable vectors is strongly C1 incompressible
- A Metrical Theorem in Diophantine Approximation
- Measure theoretic laws for lim sup sets
- Classical Metric Diophantine Approximation Revisited: The Khintchine-Groshev Theorem
- A note on zero-one laws in metrical Diophantine approximation
- Degrees of Freedom Region of the MIMO <formula formulatype="inline"> <tex>$X$</tex></formula> Channel
- Communication Over MIMO X Channels: Interference Alignment, Decomposition, and Performance Analysis
- Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel
- Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
- Metric Diophantine Approximation: Aspects of Recent Work
- On a metrical theorem of W. Schmidt
- METRIC DIOPHANTINE APPROXIMATION FOR SYSTEMS OF LINEAR FORMS VIA DYNAMICS
- An improved bound in Wirsing’s problem
- An inhomogeneous Dirichlet theorem via shrinking targets
- A KHINTCHINE–GROSHEV THEOREM FOR AFFINE HYPERPLANES
- Interference Alignment: From Degrees of Freedom to Constant-Gap Capacity Approximations
- Dirichlet's theorem on diophantine approximation. II
- On Badly Approximable Numbers and Certain Games
- A Khintchine-Type Theorem for Hyperplanes
- A note on Diophantine approximation (II)
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