CONVERGENCE OF INVARIANT MEASURES FOR DEGENERATING SEQUENCES OF HYPERBOLIC MAPPINGS WITH SINGULARITIES
1996 ◽
Vol 06
(06)
◽
pp. 1143-1151
Keyword(s):
This paper is devoted to presenting and giving a sketch of the proof of the theorem which states that, if the sequence of hyperbolic mappings with singularities converges to degenerating piecewise expanding mapping, then the corresponding sequence of measures of a Sinai-Bowen-Ruelle type converges to an absolutely continuous invariant measure.
1993 ◽
Vol 03
(04)
◽
pp. 1045-1049
1996 ◽
Vol 16
(4)
◽
pp. 735-749
◽
2009 ◽
Vol 29
(4)
◽
pp. 1185-1215
◽
1996 ◽
Vol 16
(1)
◽
pp. 1-18
◽
2008 ◽
Vol 28
(1)
◽
pp. 211-228
◽
1990 ◽
Vol 10
(4)
◽
pp. 645-656
◽
2012 ◽
Vol 396
(1)
◽
pp. 1-6
2012 ◽
Vol 33
(2)
◽
pp. 529-548
◽