The peeling process of infinite Boltzmann planar maps

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

Standard

The peeling process of infinite Boltzmann planar maps. / Budd, Timothy George.

In: The Electronic Journal of Combinatorics, Vol. 23, No. 1, P1.28, 2016.

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

Harvard

Budd, TG 2016, 'The peeling process of infinite Boltzmann planar maps', The Electronic Journal of Combinatorics, vol. 23, no. 1, P1.28. <http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p28>

APA

Budd, T. G. (2016). The peeling process of infinite Boltzmann planar maps. The Electronic Journal of Combinatorics, 23(1), [P1.28]. http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p28

Vancouver

Budd TG. The peeling process of infinite Boltzmann planar maps. The Electronic Journal of Combinatorics. 2016;23(1). P1.28.

Author

Budd, Timothy George. / The peeling process of infinite Boltzmann planar maps. In: The Electronic Journal of Combinatorics. 2016 ; Vol. 23, No. 1.

Bibtex

@article{bc16d7ba83dc43c0b01903cf554cf03e,
title = "The peeling process of infinite Boltzmann planar maps",
abstract = "We start by studying a peeling process on finite random planar maps with faces of arbitrary degrees determined by a general weight sequence, which satisfies an admissibility criterion. The corresponding perimeter process is identified as a biased random walk, in terms of which the admissibility criterion has a very simple interpretation. The finite random planar maps under consideration were recently proved to possess a well-defined local limit known as the infinite Boltzmann planar map (IBPM). Inspired by recent work of Curien and Le Gall, we show that the peeling process on the IBPM can be obtained from the peeling process of finite random maps by conditioning the perimeter process to stay positive. The simplicity of the resulting description of the peeling process allows us to obtain the scaling limit of the associated perimeter and volume process for arbitrary regular critical weight sequences.",
author = "Budd, {Timothy George}",
year = "2016",
language = "English",
volume = "23",
journal = "Electronic Journal of Combinatorics",
issn = "1077-8926",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - The peeling process of infinite Boltzmann planar maps

AU - Budd, Timothy George

PY - 2016

Y1 - 2016

N2 - We start by studying a peeling process on finite random planar maps with faces of arbitrary degrees determined by a general weight sequence, which satisfies an admissibility criterion. The corresponding perimeter process is identified as a biased random walk, in terms of which the admissibility criterion has a very simple interpretation. The finite random planar maps under consideration were recently proved to possess a well-defined local limit known as the infinite Boltzmann planar map (IBPM). Inspired by recent work of Curien and Le Gall, we show that the peeling process on the IBPM can be obtained from the peeling process of finite random maps by conditioning the perimeter process to stay positive. The simplicity of the resulting description of the peeling process allows us to obtain the scaling limit of the associated perimeter and volume process for arbitrary regular critical weight sequences.

AB - We start by studying a peeling process on finite random planar maps with faces of arbitrary degrees determined by a general weight sequence, which satisfies an admissibility criterion. The corresponding perimeter process is identified as a biased random walk, in terms of which the admissibility criterion has a very simple interpretation. The finite random planar maps under consideration were recently proved to possess a well-defined local limit known as the infinite Boltzmann planar map (IBPM). Inspired by recent work of Curien and Le Gall, we show that the peeling process on the IBPM can be obtained from the peeling process of finite random maps by conditioning the perimeter process to stay positive. The simplicity of the resulting description of the peeling process allows us to obtain the scaling limit of the associated perimeter and volume process for arbitrary regular critical weight sequences.

M3 - Journal article

AN - SCOPUS:84958818421

VL - 23

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

IS - 1

M1 - P1.28

ER -

ID: 179364104