scientific article; zbMATH DE number 6285132

zbMath1293.94037MaRDI QIDQ5409920

Rainer Siegmund-Schultze, Guido Montúfar, Tyll Krueger, Ruedi Seiler

Publication date: 15 April 2014

Full work available at URL: http://www.kybernetika.cz/content/2013/6/868

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

ergodic theoryuniversal codingasymptotic equipartition property

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Coding theorems (Shannon theory) (94A24)

Related Items (1)

Brudno's theorem for \(\mathbb{Z}^d\) (or \(\mathbb{Z}_+^d\)) subshifts

Cites Work

• A Mathematical Theory of Communication
• How sampling reveals a process
• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• A generalized Shannon-McMillan theorem for the action of an amenable group on a probability space
• The Shannon-McMillan theorem for ergodic quantum lattice systems
• Pointwise theorems for amenable groups.
• Correction Notes: Correction to "The Individual Ergodic Theorem of Information Theory"
• A universal algorithm for sequential data compression
• Compression of individual sequences via variable-rate coding
• The Basic Theorems of Information Theory
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