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  • The ergodic sequences consisting of vectors (X_n,Y_n), over a finite alphabet AxB are colored with exp(na) colors for A_n and xp(nb) colors for B_n. Generic behavior of the colorings in terms of probabilities of monochromatic rectangles intersected with typical sets is examined. When n increases a big majority of pairs of colorings produces rectangles whose probabilities are bounded uniformly from above. Limiting rates of bounds are worked out in all regimes of the rates a and b of colorings. As a consequence, generic behavior of the colorings in terms of Shannon entropies of the partitions into rectangles is described.
  • The ergodic sequences consisting of vectors (X_n,Y_n), over a finite alphabet AxB are colored with exp(na) colors for A_n and xp(nb) colors for B_n. Generic behavior of the colorings in terms of probabilities of monochromatic rectangles intersected with typical sets is examined. When n increases a big majority of pairs of colorings produces rectangles whose probabilities are bounded uniformly from above. Limiting rates of bounds are worked out in all regimes of the rates a and b of colorings. As a consequence, generic behavior of the colorings in terms of Shannon entropies of the partitions into rectangles is described. (en)
Title
  • On colorings of bivariate random sequences
  • On colorings of bivariate random sequences (en)
skos:prefLabel
  • On colorings of bivariate random sequences
  • On colorings of bivariate random sequences (en)
skos:notation
  • RIV/67985556:_____/10:00345053!RIV11-GA0-67985556
http://linked.open...avai/riv/aktivita
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  • P(GA201/08/0539), P(IAA100750603), P(KJB100750901), Z(AV0Z10750506)
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  • 276669
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  • RIV/67985556:_____/10:00345053
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  • colorings; ergodic sequences; entropy rate; asymptotic equipartition property (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [C87494B490E2]
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  • Austin
http://linked.open...i/riv/mistoVydani
  • Piscataway
http://linked.open...i/riv/nazevZdroje
  • Information Theory Proceedings (ISIT), 2010 IEEE International Symposium
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  • Matúš, František
  • Kupsa, Michal
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http://linked.open...n/vavai/riv/zamer
number of pages
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  • IEEE
https://schema.org/isbn
  • 978-1-4244-7892-7
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