Geodesic
Variance bounds for disc-polygons
Documenta mathematica, Tome 27 (2022), pp. 1015-1029

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We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is C+2​ smooth. The established lower bounds are of the same order as the upper bounds proved previously in [F. Fodor and V. Vígh, J. Appl. Probab. 55, No. 4, 1143–1157 (2018; Zbl 1407.52004)].
DOI : 10.4171/dm/891
Classification : 52A22, 60D05
Mots-clés : variance, disc-polygons, random approximation, asymptotic lower bounds 
Ferenc Fodor; Balázs Grünfelder; Viktor Vígh. Variance bounds for disc-polygons. Documenta mathematica, Tome 27 (2022), pp. 1015-1029. doi: 10.4171/dm/891
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