caa a22 4500 445813997 CHVBK 20180317145220.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11083-010-9172-2 doi (NATIONALLICENCE)springer-10.1007/s11083-010-9172-2 Random Partial Orders Defined by Angular Domains [Elektronische Daten] [Paul Balister, Balázs Patkós] The d-dimensional random partial order is the intersection of d independently and uniformly chosen (with replacement) linear orders on the set [n] = {1, 2, . . . , n}. This is equivalent to picking n points uniformly at random in the d-dimensional unit cube $Q_d=[0,1]^d$ with the coordinate-wise ordering. If d = 2, then this can be rephrased by declaring that for any pair P 1, P 2 ∈ Q 2 we have P 1 ≺ P 2 if and only if P 2 lies in the positive upper quadrant defined by the two axis-parallel lines crossing atP 1. In this paper we study the random partial order with parameter α (0 ≤ α ≤ π) which is generated by picking n points uniformly at random from Q 2 equipped with the same partial order as above but with the quadrant replaced by an angular domain of angleα. Springer Science+Business Media B.V., 2010 Partial orders nationallicence Random process nationallicence Balister Paul Department of Mathematics, University of Memphis, 38152, Memphis, TN, USA aut Patkós Balázs Department of Computer Science, University of Memphis, 38152, Memphis, TN, USA aut Order Springer Netherlands 28/2(2011-07-01), 341-355 0167-8094 28:2<341 2011 28 11083 https://doi.org/10.1007/s11083-010-9172-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11083-010-9172-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Balister Paul Department of Mathematics, University of Memphis, 38152, Memphis, TN, USA aut NATIONALLICENCE 700 1- Patkós Balázs Department of Computer Science, University of Memphis, 38152, Memphis, TN, USA aut NATIONALLICENCE 773 0- Order Springer Netherlands 28/2(2011-07-01), 341-355 0167-8094 28:2<341 2011 28 11083 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer