Index
affine structure, 58
area construction, 152
Arnold-Liouville theorem, 70
Aubry-Mather theory, 106
average absolute curvature, 41
Baker's map, 135
Benford's Law, 25
billiard ball map, 33
Birkhoff conjecture, 95
Boltzmann's Hypothesis, 145
brachistochrone, 16
Buffon's needle problem, 38
Bunimovich billiards, 139
cat map, 137
caustic, 56
characteristic foliation, 48
complexity function, 29
configuration space, 3, 10
confocal conies, 53
Conley-Zehnder theorem, 106
Crofton formula, 37
cutting sequence, 27
cyclic configuration space, 100
Desargues theorem, 88, 162
diameter of a curve, 99
dihedral group, 116
Diophantine condition, 98
DNA geometric inequality, 41
elliptic coordinates, 53
equidistribution, 22
ergodic map, 138
evolute, 75
Fagnano trajectory,
Fermat principle, 12
Fibonacci numbers,
finite blocking, 121
Finsler metric, 14
four vertex theorem
Gauss-Bonnet theor
geodesic, 43, 67
Graves theorem, 74
Hamiltonian functio
Hamiltonian vector
Hilbert metric, 44
Hilbert's fourth pro
Huygens principle,
illumination problem
impact oscillator, 14
integrable map, 53,
invariant circle, 86
involute, 75
isochronal pendulum
isoperimetric inequa
KAM theory, 97
Klein-Beltrami mod
Kneser's lemma, 77
Lagrangian function
Lagrangian submani
Larmor radius, 18
length-area duality,
Lie algebra, 70
linkage, 10
Liouville form, 47
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