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1
L V Ahlfors ,
Lectures on
quasiconformal mappings , 38, Amer. Math. Soc. (2006)
MR2241787
2
A D Alexandrov ,
Selected works, II : Intrinsic geometry of convex
surfaces , Chapman & Hall (2006) MR2193913
3
A I Bobenko , U
Pinkall , B A Springborn , Discrete conformal
maps and ideal hyperbolic polyhedra , Geom. Topol. 19
(2015) 2155 MR3375525
4
U Bücking , Approximation of
conformal mappings by circle patterns , Geom. Dedicata
137 (2008) 163 MR2449151
5
U Bücking , Approximation of
conformal mappings using conformally equivalent triangular
lattices , from: "Advances in discrete differential
geometry" (editor A I Bobenko), Springer (2016) 133
MR3587184
6
F R K Chung ,
Spectral graph
theory , 92, Amer. Math. Soc. (1997) MR1421568
7
S Dai , H Ge ,
S Ma , Rigidity of the
hexagonal Delaunay triangulated plane , Peking Math. J.
5 (2022) 1
8
D B A
Epstein , A Marden , Convex hulls in hyperbolic
space, a theorem of Sullivan, and measured pleated
surfaces , from: "Analytical and geometric aspects of
hyperbolic space" (editor D B A Epstein), Lond. Math.
Soc. Lect. Note Ser. 111, Cambridge Univ. Press (1987) 113
MR903852
9
D Glickenstein ,
Discrete
conformal variations and scalar curvature on piecewise flat
two- and three-dimensional manifolds , J. Differential
Geom. 87 (2011) 201 MR2788656
10
X D Gu , F
Luo , J Sun , T Wu , A discrete
uniformization theorem for polyhedral surfaces , J.
Differential Geom. 109 (2018) 223 MR3807319
11
X Gu , R Guo ,
F Luo , J Sun , T Wu , A discrete
uniformization theorem for polyhedral surfaces, II , J.
Differential Geom. 109 (2018) 431 MR3825607
12
Z X He , O
Schramm , Fixed
points, Koebe uniformization and circle packings , Ann.
of Math. 137 (1993) 369 MR1207210
13
Z X He , O
Schramm , On the convergence of
circle packings to the Riemann map , Invent. Math. 125
(1996) 285 MR1395721
14
S Hersonsky ,
Discrete harmonic
maps and convergence to conformal maps, I : Combinatorial
harmonic coordinates , Comment. Math. Helv. 90 (2015)
325 MR3351747
15
S Hersonsky ,
Electrical networks and Stephenson’s conjecture ,
preprint (2015) arXiv:1506.07549
16
S Y Lan ,
D Q Dai , The C ∞ –convergence of SG circle patterns to
the Riemann mapping , J. Math. Anal. Appl. 332 (2007)
1351 MR2324342
17
O Lehto , K I
Virtanen , Quasiconformal mappings in the plane , 126,
Springer (1973) MR0344463
18
F Luo , Combinatorial
Yamabe flow on surfaces , Commun. Contemp. Math. 6
(2004) 765 MR2100762
19
F Luo , T Wu ,
Koebe conjecture and the Weyl problem for convex surfaces in
hyperbolic 3 –space , preprint
(2019) arXiv:1910.08001
20
D Matthes , Convergence in
discrete Cauchy problems and applications to circle
patterns , Conform. Geom. Dyn. 9 (2005) 1 MR2133803
21
B Palka , Fréchet
distance and the uniform convergence of quasiconformal
mappings , Duke Math. J. 39 (1972) 289 MR304653
22
A V Pogorelov ,
Extrinsic
geometry of convex surfaces , 35, Amer. Math. Soc.
(1973) MR0346714
23
C Pommerenke ,
Univalent functions , 25, Vandenhoeck & Ruprecht
(1975) 376 MR0507768
24
I Rivin , Intrinsic
geometry of convex ideal polyhedra in hyperbolic 3 –space , from: "Analysis, algebra, and
computers in mathematical research" (editors M Gyllenberg,
L E Persson), Lect. Notes Pure Appl. Math. 156, Dekker
(1994) 275 MR1280952
25
B Rodin , D
Sullivan , The
convergence of circle packings to the Riemann mapping ,
J. Differential Geom. 26 (1987) 349 MR906396
26
J M Schlenker ,
Réalisations de
surfaces hyperboliques complètes dans H 3 , Ann. Inst. Fourier (Grenoble)
48 (1998) 837 MR1644101
27
W Thurston ,
Geometry and
topology of three-manifolds , lecture notes (1980)
28
T Wu , X Gu ,
J Sun , Rigidity of
infinite hexagonal triangulation of the plane , Trans.
Amer. Math. Soc. 367 (2015) 6539 MR3356946