On the complexity of expansive measures

Verfasser / Beitragende:
[C. Morales]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/9(2015-09-01), 1501-1507
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4725-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4725-3 
100 1 |a Morales  |D C.  |u Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil  |4 aut 
245 1 0 |a On the complexity of expansive measures  |h [Elektronische Daten]  |c [C. Morales] 
520 3 |a We prove that the existence of positively expansive measures for continuous maps on compact metric spaces implies the existence of e > 0 and a sequence of (m, e)-separated sets whose cardinalities go to infinite as m → ∞. We then prove that maps exhibiting such a constant e and the positively expansive maps share some properties. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Positively expansive measure  |2 nationallicence 
690 7 |a complexity  |2 nationallicence 
690 7 |a compact metric space  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1501-1507  |x 1439-8516  |q 31:9<1501  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Morales  |D C.  |u Instituto de Matemática, Universidade Federal do Rio de Janeiro, P. O. Box 68530, 21945-970, Rio de Janeiro, Brazil  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1501-1507  |x 1439-8516  |q 31:9<1501  |1 2015  |2 31  |o 10114