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Volumn 13, Issue 4, 2000, Pages 1263-1274

On the existence of conditionally invariant probability measures in dynamical systems

(3) Collet, Pierre c Martínez, Servet a Maume Deschamps, Véronique b

a UNIVERSITY OF CHILE (Chile)

b UNIVERSITÉ DE BOURGOGNE (France)

c CENTRE DE PHYSIQUE THÉORIQUE (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034216066 PISSN: 09517715 EISSN: None Source Type: Journal
DOI: 10.1088/0951-7715/13/4/315 Document Type: Article

Times cited : (16)

References (14)

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3
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- Chernov N, Markarian R and Troubetzkoy S 1998 Conditionally invariant measures for Anosov maps with small holes Ergodic Theory Dynam. Syst. 18 1049-73
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- Chernov, N.¹ Markarian, R.² Troubetzkoy, S.³

4
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- The Pianigiani-Yorke measure for topological Markov chains Israel
- Collet P, Martínez S and Schmitt B 1997 The Pianigiani-Yorke measure for topological Markov chains Israel J. Math. 97 61-70
- (1997) J. Math. , vol.97 , pp. 61-70
- Collet, P.¹ Martínez, S.² Schmitt, B.³

5
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- The Pianigiani-Yorke measure and the asymptotic law on the limit Cantor set of expanding systems
- Collet P, Martínez S and Schmitt B 1994 The Pianigiani-Yorke measure and the asymptotic law on the limit Cantor set of expanding systems Nonlinearity 7 1437-43
- (1994) Nonlinearity , vol.7 , pp. 1437-1443
- Collet, P.¹ Martínez, S.² Schmitt, B.³

6
- 0003140363
- Quasi-stationary distribution and Gibbs measure of expanding systems
- (Dordrecht: Kluwer)
- Collet P, Martínez S and Schmitt B 1996 Quasi-stationary distribution and Gibbs measure of expanding systems Instabilities and Nonequilibrium Structures (Dordrecht: Kluwer) pp 205-19
- (1996) Instabilities and Nonequilibrium Structures , pp. 205-219
- Collet, P.¹ Martínez, S.² Schmitt, B.³

7
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- (New York: Interscience)
- Dunford N and Schwartz J T 1966 Linear Operators Part I (New York: Interscience)
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- Dunford, N.¹ Schwartz, J.T.²

8
- 0001240798
- Existence of quasi-stationary distributions. A renewal dynamical approach
- Ferrari P A, Kesten H, Martínez S and Picco P 1995 Existence of quasi-stationary distributions. A renewal dynamical approach Ann. Probab. 23 501-21
- (1995) Ann. Probab. , vol.23 , pp. 501-521
- Ferrari, P.A.¹ Kesten, H.² Martínez, S.³ Picco, P.⁴

9
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- Linear operators leaving invariant a cone in a Banach space
- Krein M G and Rutman M A 1962 Linear operators leaving invariant a cone in a Banach space Am. Math. Soc. Transl. Ser. 1 10 199-225
- (1962) Am. Math. Soc. Transl. Ser. 1 , vol.10 , pp. 199-225
- Krein, M.G.¹ Rutman, M.A.²

10
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- Decay of correlations for piecewise expanding maps
- Liverani C 1995 Decay of correlations for piecewise expanding maps J. Stat. Phys. 78 1111-29
- (1995) J. Stat. Phys. , vol.78 , pp. 1111-1129
- Liverani, C.¹

11
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- Expanding maps on sets which are almost invariant: Decay and chaos
- Pianigiani G and Yorke J A 1989 Expanding maps on sets which are almost invariant: decay and chaos Trans. Am. Math. Soc. 252 433-97
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- Pianigiani, G.¹ Yorke, J.A.²

12
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- On the existence of invariant, absolutely continuous measures
- Straube E 1981 On the existence of invariant, absolutely continuous measures Commun. Math. Phys. 81 27-30
- (1981) Commun. Math. Phys. , vol.81 , pp. 27-30
- Straube, E.¹

13
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- Geometric ergodicity in denumerable Markov chains
- Vere-Jones D 1962 Geometric ergodicity in denumerable Markov chains Q. J. Math. 13 7-28
- (1962) Q. J. Math. , vol.13 , pp. 7-28
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14
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- Finitely additive measures
- Yosida K and Hewitt E 1952 Finitely additive measures Trans. Am. Math. Soc. 72 46-66
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