Support as an invariant for dynamical systems

Horst Michel

Mathematica Slovaca (1980)

  • Volume: 30, Issue: 1, page 19-30
  • ISSN: 0232-0525

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Michel, Horst. "Support as an invariant for dynamical systems." Mathematica Slovaca 30.1 (1980): 19-30. <http://eudml.org/doc/34072>.

@article{Michel1980,
author = {Michel, Horst},
journal = {Mathematica Slovaca},
keywords = {support; dynamical systems; disjointness; ergodic theory; prime numbers; isomorphy invariant; quasidiscrete spectra; K-automorphisms; Bernoulli systems; Halmos' invariant},
language = {eng},
number = {1},
pages = {19-30},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Support as an invariant for dynamical systems},
url = {http://eudml.org/doc/34072},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Michel, Horst
TI - Support as an invariant for dynamical systems
JO - Mathematica Slovaca
PY - 1980
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 30
IS - 1
SP - 19
EP - 30
LA - eng
KW - support; dynamical systems; disjointness; ergodic theory; prime numbers; isomorphy invariant; quasidiscrete spectra; K-automorphisms; Bernoulli systems; Halmos' invariant
UR - http://eudml.org/doc/34072
ER -

References

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  2. FUCHS L., Partially ordered algebraic systems, Oxford-London-New Yoгk-Paris 1963. (1963) Zbl0137.02001MR0171864
  3. FURSTENBERG H., Disjointness in eгgodic theory, minimal sets and a problem in Diophantine approximation, Math. Systems Theory 1, 1967, 1-49. (1967) MR0213508
  4. HÄSLER K., Untersuchungen zur Faktorbeziehung und Disjunktheit für vollergodische dynamische Systeme mit quasidiskreten Spektrum, Diplomaгbeit Halle 1975. (1975) 
  5. HALMOS R. P., Lectures on Ergodic Theory, Tokyo 1956. (1956) Zbl0073.09302
  6. JACOBS K., Neuere Methoden und Ergebnisse der Ergodentheorie, Berlin-Göttingen-Heidelbeгg 1960. (1960) Zbl0102.32903MR0123676
  7. JACOBS K., Lecture Notes on Ergodic Theory, Aarhus Universitet 1962/63. (1962) 
  8. KOЛMOГOPOB A. H., Hoвый мeтpичecкий инвapиaнт тpaнзитивныx динaмичecкиx cиcтeм и aвтoмopфизмoв пpocтpaнcтв Лeбeгa, Дoкл. Aкaд. Hayк CCCP, 1958, т. 119, N° 5, 861-864. (1958) 
  9. KUROSCH A. G., Gruppentheorie, Berlin 1954. (1954) 
  10. MICHEL H., Wurzeln vollergodischer Automorphismen mit quasidiskretem Spektrum I, Wahrscheinlichkeitstheorie verw. Geb., 9, 1968, 323-340. (1968) Zbl0162.19501MR0229798
  11. NEUMANN J. v., Zur Operatorenmethode in der klassischen Mechanik, Ann. of Math. 33, 1932, 587-642. (1932) Zbl0005.31504MR1503078
  12. ORNSTEIN D. S., Bernoulli shifts with the same entropy are isomorphic, Advances Math., 4, 1970, 337-352. (1970) Zbl0197.33502MR0257322
  13. ORNSTEIN D. S., Factors of Bernoulli shifts are Bernoulli shifts, Advances Math., 5, 1950, 349-364. (1950) MR0274717
  14. POXЛИH B. A., Oб ocнoвныx пoнятияx тeopии мepы, Maтeм. cб., 25 (67), 1949, 107-150. (1949) 
  15. SIEGMUNDT-SCHULTZE R., Prime und extrem nichtprime dynamische Systeme, Wiss. Zeitschгift Univ. Halle, Math.-naturw. R., to appear. MR0450521
  16. CИHAӢ Я. Г., Cлaбый изoмopфизм пpeoбpaзoвaний c инвapиaнтнoй мepoй, ДAH CCCP, т. 147, N° 4, 1962, 797-800. (1962) 
  17. CИHAӢ Я. Г., O cлaбoм изoмopфизмe пpeoбpaзoвaний c инвapиaнтнoй мepoй, Maтeм. cб., 63 (105), 1964, 23-42. (1964) 

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