Information-Theoretic Matrix Inequalities and Diffusion Processes on Unimodular Lie Groups
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Publication:4967760
DOI10.1007/978-3-030-02520-5_9zbMath1478.60217OpenAlexW2901473594MaRDI QIDQ4967760
Publication date: 10 July 2019
Published in: Geometric Structures of Information (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-02520-5_9
Miscellaneous inequalities involving matrices (15A45) Diffusion processes (60J60) Other geometric groups, including crystallographic groups (20H15) Statistical aspects of information-theoretic topics (62B10) Analysis on other specific Lie groups (43A80)
Cites Work
- Information-theoretic inequalities on unimodular Lie groups
- Superadditivity of Fisher's information and logarithmic Sobolev inequalities
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- Special cases of a matrix exponential formula
- Eigenvalue inequalities for products of matrix exponentials
- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
- A trace inequality of John von Neumann
- On the product of matrix exponentials
- Geometric operator inequalities
- Harmonic analysis on the Heisenberg group
- Sharp inequalities and geometric manifolds
- Matrix inequalities in statistical mechanics.
- The high road to an exponential formula.
- Degenerate diffusions and harmonic analysis on \(\mathrm{SE}(3)\): a tutorial
- The limit of the product of the parameterized exponentials of two operators
- Probabilities on the Heisenberg group: limit theorems and Brownian motion
- Lie theory and special functions
- The variation of the spectrum of a normal matrix
- A trace bound for a general square matrix product
- On the trace bound of a matrix product
- An Eigenvalue for the Product of Normal Matrices
- A Note on Normal Matrices
- L p Fourier Transforms on Locally Compact Unimodular Groups
- Zur Abschätzung von Matrizennormen
- Products of exponentials of hermitian and complex symmetric matrices
- Bounds on eigenvalues of matrix products with an application to the algebraic Riccati equation
- On the Singular Values of a Product of Operators
- Inequalities for the Trace of Matrix Exponentials
- Comments on "A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equation" by J.M. Saniuk and I.B. Rhodes
- Information theoretic inequalities
- Equality Cases in Matrix Exponential Inequalities
- On the Evolution of Noncommutative Harmonic Analysis
- Inequalities for the trace of matrix product
- Tight bounds for the trace of a matrix product
- Classroom Note: Some Eigenvalue Properties of Persymmetric Matrices
- Positive Definite Functions and Operator Inequalities
- On the Ky Fan inequality and related inequalities I
- A trace inequality for matrix product
- Probability on Compact Lie Groups
- Eigenvalue Inequalities for Matrix Product
- A New Trace Bound for a General Square Matrix Product
- Exponential Barycenters of the Canonical Cartan Connection and Invariant Means on Lie Groups
- The convolution inequality for entropy powers
- Elements of Information Theory
- On the Trace of Matrix Products
- Some applications of the representation theory of the Euclidean group in three‐space
- Improved Error Bounds for the Eigenvalues of Certain Normal Operators
- Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Random walks on symmetric spaces and inequalities for matrix spectra
- An operational calculus for the Euclidean motion group with applications in robotics and polymer science
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