Larger than Life; it's so nonlinear

Kellie Michele Evans' PhD thesis

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CONTENTS

Copyright

Preface ... iv

Abstract ... vii

Introduction ... 1

The Hyper Picture ... 8

LtL Definitions ... 12

LtL Rules With Simplifying Features -- Part 1 ... 18

LtL Rules With Simplifying Features -- Part 2 ... 30

LtL Rules With Simplifying Features -- Part 3 ... 38

Invariant Measures ... 45

Replicators -- Part 1 ... 59

Replicators -- Part 2 ... 69

Zooming in on an LtL Phase Boundary ... 85

Snapshots from the Boundaries ... 119

Bug Makers and Bigger Questions ... 132

Experiments ... 135

Lagniappe ... 140

References ... 142

Appendix 1 -- A large range counting problem ... 145

Appendix 2 -- Replicators ... 151

Appendix 3 -- Bugs ... 157

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