Geometry & Topology Volume 16, issue 4 (2012)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP Journals

Paper folding, Riemann surfaces and convergence of pseudo-Anosov sequences

André de Carvalho and Toby Hall

Geometry & Topology 16 (2012) 1881–1966

DOI: 10.2140/gt.2012.16.1881

Bibliography

1	L V Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co. (1973) MR0357743
2	L V Ahlfors, L Sario, Riemann surfaces, Princeton Mathematical Series 26, Princeton Univ. Press (1960) MR0114911
3	D Burago, Y Burago, S Ivanov, A course in metric geometry, Graduate Studies in Mathematics 33, American Mathematical Society (2001) MR1835418
4	R Chamanara, F P Gardiner, N Lakic, A hyperelliptic realization of the horseshoe and baker maps, Ergodic Theory Dynam. Systems 26 (2006) 1749 MR2279264
5	A de Carvalho, Extensions, quotients and generalized pseudo–Anosov maps, from: "Graphs and patterns in mathematics and theoretical physics", Proc. Sympos. Pure Math. 73, Amer. Math. Soc. (2005) 315 MR2131019
6	A de Carvalho, T Hall, Unimodal generalized pseudo-Anosov maps, Geom. Topol. 8 (2004) 1127 MR2087080
7	A de Carvalho, T Hall, Paper surfaces and dynamical limits, Proc. Natl. Acad. Sci. USA 107 (2010) 14030 MR2679493
8	C J Earle, F P Gardiner, Teichmüller disks and Veech's $\mathcal{F}$–structures, from: "Extremal Riemann surfaces (San Francisco, CA, 1995)", Contemp. Math. 201, Amer. Math. Soc. (1997) 165 MR1429199
9	M K Fort Jr., Mappings on $S^{1}$ into one-dimensional spaces, Illinois J. Math. 1 (1957) 505 MR0114190
10	T Hall, The creation of horseshoes, Nonlinearity 7 (1994) 861 MR1275533
11	K Kuratowski, Topology Vol II, Academic Press (1968) MR0259835
12	O Lehto, K I Virtanen, Quasiconformal mappings in the plane, Grundl. Math. Wissen. 126, Springer (1973) MR0344463
13	J Milnor, W Thurston, On iterated maps of the interval, from: "Dynamical systems (College Park, MD, 1986–87)", Lecture Notes in Math. 1342, Springer (1988) 465 MR970571
14	R L Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925) 416 MR1501320
15	R L Moore, Foundations of point set theory, American Mathematical Society Colloquium Publications XIII, American Mathematical Society (1962) MR0150722
16	J H Roberts, N E Steenrod, Monotone transformations of two-dimensional manifolds, Ann. of Math. 39 (1938) 851 MR1503441
17	C A Rogers, Hausdorff measures, Cambridge Mathematical Library, Cambridge Univ. Press (1998) MR1692618
18	S Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747 MR0228014
19	G T Whyburn, Analytic topology, American Mathematical Society Colloquium Publications XXVIII, American Mathematical Society (1963) MR0182943