TY - JOUR
T1 - A Model for Random Braiding in Graph Configuration Spaces
AU - Levin, David A.
AU - Ramos, Eric
AU - Young, Benjamin
N1 - Publisher Copyright:
© 2022 The Author(s) 2021. Published by Oxford University Press. All rights reserved.
PY - 2022/4/1
Y1 - 2022/4/1
N2 - We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane [42]. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.
AB - We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, analogous to similar results on winding of bounded particles in the plane [42]. We also propose certain natural open questions and conjectures, whose confirmation would provide new insights on configuration spaces of trees.
KW - Graph configuration spaces
KW - Markov chains
KW - Random braiding
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U2 - 10.1093/imrn/rnab008
DO - 10.1093/imrn/rnab008
M3 - Article
AN - SCOPUS:85128158881
SN - 1073-7928
VL - 2022
SP - 5564
EP - 5600
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
IS - 7
ER -