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

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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

2 Preliminaries


This paper is available on arxiv under CC 4.0 license.



5 In fact one could obtain F(X) − F({z} ∪ (X \ {xk})) ≥ (1−α)(M+1) M2 F(X), but the simpler lower bound given in (14) will suffice for the applications.

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