A representation of exchangeable hierarchies by sampling from random real trees
Sign Up to like & getrecommendations! Published in 2018 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-017-0799-4
Abstract: A hierarchy on a set S, also called a total partition of S, is a collection $$\mathcal {H}$$H of subsets of S such that $$S \in \mathcal {H}$$S∈H, each singleton subset of S belongs to… read more here.
Keywords: random hierarchy; representation exchangeable; exchangeable hierarchies; random ... See more keywords
Random isn't real: How the patchy distribution of ecological rewards may generate “incentive hope”
Sign Up to like & getrecommendations! Published in 2019 at "Behavioral and Brain Sciences"
DOI: 10.1017/s0140525x18002005
Abstract: Abstract Anselme & Güntürkün generate exciting new insights by integrating two disparate fields to explain why uncertain rewards produce strong motivational effects. Their conclusions are developed in a framework that assumes a random distribution of… read more here.
Keywords: distribution ecological; random real; ecological rewards; real patchy ... See more keywords
Variance of the volume of random real algebraic submanifolds
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7478
Abstract: Let $\mathcal{X}$ be a complex projective manifold of dimension $n$ defined over the reals and let $M$ denote its real locus. We study the vanishing locus $Z\_{s\_d}$ in $M$ of a random real holomorphic section… read more here.
Keywords: algebraic submanifolds; volume; real algebraic; variance ... See more keywords