Random trees in the boundary of outer space

被引：1

作者：

Kapovich, Ilya ^{[1
]}

Maher, Joseph ^{[2
,3
]}

Pfaff, Catherine ^{[4
]}

Taylor, Samuel J. ^{[5
]}

机构：

[1] CUNY, Dept Math & Stat, Hunter Coll, New York, NY 10031 USA

[2] CUNY, Coll Staten Isl, Dept Math, Staten Isl, NY USA

[3] CUNY, Grad Ctr, Staten Isl, NY USA

[4] Queens Univ, Dept Math & Stat, Kingston, ON, Canada

[5] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 01期

基金：

美国国家科学基金会;

关键词：

AUTOMORPHISMS; LAMINATIONS; EXTENSIONS; GEODESICS; COMPLEX;

D O I：

10.2140/gt.2022.26.127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for the harmonic measure associated to a random walk on Out(F-r) satisfying some mild conditions, a typical tree in the boundary of Outer space is trivalent and nongeometric. This result answers a question of Mladen Bestvina.

引用

页码：127 / 162

页数：36

共 48 条

[41] Toric Geometry of SL2(C) Free Group Character Varieties from Outer Space
Manon, Christopher
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2018, 70 (02): : 354 - 399
[42] EXTREMAL LENGTH BOUNDARY OF THE TEICHMULLER SPACE CONTAINS NON-BUSEMANN POINTS
Miyachi, Hideki
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (10) : 5409 - 5430
[43] The Hidden Flow Structure and Metric Space of Network Embedding Algorithms Based on Random Walks
Gu, Weiwei
Gong, Li
Lou, Xiaodan
Zhang, Jiang
SCIENTIFIC REPORTS, 2017, 7
[44] The high-dimensional cohomology of the moduli space of curves with level structures II: punctures and boundary
Brendle, Tara
Broaddus, Nathan
Putman, Andrew
ISRAEL JOURNAL OF MATHEMATICS, 2024, 260 (01) : 303 - 340
[45] Random walk in genome space: A key ingredient of intermittent dynamics of community assembly on evolutionary time scales
Murase, Yohsuke
Shimada, Takashi
Ito, Nobuyasu
Rikvold, Per Arne
JOURNAL OF THEORETICAL BIOLOGY, 2010, 264 (03) : 663 - 672
[46] Cokriging for multivariate Hilbert space valued random fields: application to multi-fidelity computer code emulation
Grujic, Ognjen
Menafoglio, Alessandra
Yang, Guang
Caers, Jef
STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT, 2018, 32 (07) : 1955 - 1971
[47] Insertion of plastidic β-barrel proteins into the outer envelopes of plastids involves an intermembrane space intermediate formed with Toc75-V/OEP80
Gross, Lucia E.
Klinger, Anna
Spies, Nicole
Ernst, Theresa
Flinner, Nadine
Simm, Stefan
Ladig, Roman
Bodensohn, Uwe
Schleiff, Enrico
PLANT CELL, 2021, 33 (05) : 1657 - 1681
[48] On the coupling of a zonal body-fitted/immersed boundary method with ZDES: Application to the interactions on a realistic space launcher afterbody flow
Weiss, Pierre-Elie
Deck, Sebastien
COMPUTERS & FLUIDS, 2018, 176 : 338 - 352

← 1 2 3 4 5 →