Trees with power-like height dependent weight

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Trees with power-like height dependent weight. / Durhuus, Bergfinnur; Ünel, Meltem.

In: Electronic Journal of Probability, Vol. 27, 137, 2022.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Durhuus, B & Ünel, M 2022, 'Trees with power-like height dependent weight', Electronic Journal of Probability, vol. 27, 137. https://doi.org/10.1214/22-EJP857

APA

Durhuus, B., & Ünel, M. (2022). Trees with power-like height dependent weight. Electronic Journal of Probability, 27, [137]. https://doi.org/10.1214/22-EJP857

Vancouver

Durhuus B, Ünel M. Trees with power-like height dependent weight. Electronic Journal of Probability. 2022;27. 137. https://doi.org/10.1214/22-EJP857

Author

Durhuus, Bergfinnur ; Ünel, Meltem. / Trees with power-like height dependent weight. In: Electronic Journal of Probability. 2022 ; Vol. 27.

Bibtex

@article{a4018232b836452ea37284a5bd45b358,

title = "Trees with power-like height dependent weight",

abstract = "We consider planar rooted random trees whose distribution is even for fixed height h and size N and whose height dependence is given by a power function hα. Defining the total weight for such trees of fixed size to be ZN, a detailed analysis of the analyticity properties of the corresponding generating function is provided. Based on this, we determine the asymptotic form of ZN and show that the local limit at large size is identical to the Uniform Infinite Planar Tree, independent of the exponent α of the height distribution function.",

keywords = "height coupled trees, local limits of BGW trees, random trees",

author = "Bergfinnur Durhuus and Meltem {\"U}nel",

year = "2022",

doi = "10.1214/22-EJP857",

language = "English",

volume = "27",

journal = "Electronic Journal of Probability",

issn = "1083-6489",

publisher = "Institute of Mathematical Statistics",

}

RIS

TY - JOUR

T1 - Trees with power-like height dependent weight

AU - Durhuus, Bergfinnur

AU - Ünel, Meltem

PY - 2022

Y1 - 2022

N2 - We consider planar rooted random trees whose distribution is even for fixed height h and size N and whose height dependence is given by a power function hα. Defining the total weight for such trees of fixed size to be ZN, a detailed analysis of the analyticity properties of the corresponding generating function is provided. Based on this, we determine the asymptotic form of ZN and show that the local limit at large size is identical to the Uniform Infinite Planar Tree, independent of the exponent α of the height distribution function.

AB - We consider planar rooted random trees whose distribution is even for fixed height h and size N and whose height dependence is given by a power function hα. Defining the total weight for such trees of fixed size to be ZN, a detailed analysis of the analyticity properties of the corresponding generating function is provided. Based on this, we determine the asymptotic form of ZN and show that the local limit at large size is identical to the Uniform Infinite Planar Tree, independent of the exponent α of the height distribution function.

KW - height coupled trees

KW - local limits of BGW trees

KW - random trees

UR - http://www.scopus.com/inward/record.url?scp=85139426774&partnerID=8YFLogxK

U2 - 10.1214/22-EJP857

DO - 10.1214/22-EJP857

M3 - Journal article

AN - SCOPUS:85139426774

VL - 27

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

SN - 1083-6489

M1 - 137

ER -

ID: 330404464