Acknowledgements ................................................ 3
1 Introduction ................................................. 5
2 Background theory and auxiliary results ..................... 14
2.1 Background theory ...................................... 14
2.2 Auxiliary results ...................................... 28
3 Estimation results for conformal measures ................... 47
4 Geometry of limit sets of Kleinian groups ................... 55
4.1 The main results ....................................... 55
4.2 Additional results ..................................... 65
5 Geometric measure constructions ............................. 71
6 Equivalence results for conformal measures .................. 82
6.1 A general equivalence result ........................... 82
6.2 The main equivalence result ............................ 88
7 Variants of the main result ................................ 102
7.1 The relevant results of Sullivan ...................... 102
7.2 Simple variants ....................................... 106
7.3 Variants employing alternative flatness functions ..... 110
7.4 Variants for Kleinian groups acting on Bn+1 ............ 114
References .................................................... 119
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