Maps with Memory 
Preprint
I: STATISTICAL AND
DETERMINISTIC DYNAMICS OF MAPS WITH MEMORY
by PAWEL GORA, ABRAHAM BOYARSKY, ZHENYANG LI, AND HARALD
PROPPE
Preprint
II: Singular SRB measures for
a non 1--1 map of the unit
square,
by PAWEL GORA, ABRAHAM BOYARSKY and ZHENYANG LI
Presentation
outlining the results of the preprint I.
Arxiv post:
http://arxiv.org/pdf/1604.06991v1.pdf
http://arxiv.org/abs/1607.01658
Pictures:
supports of ACIM alpha: 0.001- 0.499
supports of SRB-measures :
alpha: 0.751- 0.999
densities of ACIM
Clusters for
alpha=0.4883
alpha=0.4930
alpha=0.4943
alpha=0.4973
Maple Programs: Figure 1
Figure 3
Figure 4
Figure 5
Figure 6 or Proposition 7
Proposition 8
Proposition 9
Proposition 10
Proposition 11
Proposition 12-13
Figure 10-11 Proposition 13
Figures 12 and 13
Proposition 14
Figures 17-14-15-16
Proposition 17
Figures 24-22-23
Figures 27-25-26
Figures 29-28
Figure 30
Figures 32-31
Figures 34-33
More programs can be added on request