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Analysis of the Jante’s Law Process and Proof of Conjecture: Appendix

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Authors:

(1) Edward Crane, School of Mathematics, University of Bristol, BS8 1TH, UK;

(2) Stanislav Volkov, Centre for Mathematical Sciences, Lund University, Box 118 SE-22100, Lund, Sweden.

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Abstract and Introduction

Preliminaries

Reduction to the case of uniform geometry

All original points are eventually removed, a. s.

Proof of Theorem 1

Coupling Y (⋅) and Z(⋅)

Acknowledgements and References

Appendix

Appendix 1: Absolute continuity of probability distributions

Here are the basic facts which we use about absolutely continuous R d -valued random variables.


Appendix 2: Proof of Lemma 17

Appendix 3: Beyond convex bodies


This paper is available on arxiv under CC 4.0 license.


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