N
Nina Holden
Researcher at ETH Zurich
Publications - 58
Citations - 861
Nina Holden is an academic researcher from ETH Zurich. The author has contributed to research in topics: Scaling limit & Random walk. The author has an hindex of 17, co-authored 52 publications receiving 678 citations. Previous affiliations of Nina Holden include École Polytechnique Fédérale de Lausanne & Massachusetts Institute of Technology.
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Mating of trees for random planar maps and Liouville quantum gravity: a survey
Ewain Gwynne,Nina Holden,Xin Sun +2 more
TL;DR: The mating-of-trees theorem of Duplantier, Miller, and Sheffield as mentioned in this paper gives an encoding of a Liouville quantum gravity surface decorated by a Schramm-Loewner evolution (SLE) curve in terms of a pair of correlated linear Brownian motions.
Proceedings Article
Subpolynomial trace reconstruction for random strings \{and arbitrary deletion probability
TL;DR: In this paper, the insertion-deletion trace reconstruction problem is solved by estimating the location in each trace corresponding to a given bit of the input string and comparing the increments in the walk associated with the input bit and the trace.
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An almost sure KPZ relation for SLE and Brownian motion
TL;DR: In this paper, the Hausdorff dimension of any Borel subset $A$ of the range of a set of points of a correlated planar Brownian motion is derived.
Journal ArticleDOI
A mating-of-trees approach for graph distances in random planar maps
Ewain Gwynne,Nina Holden,Xin Sun +2 more
TL;DR: In this paper, the authors introduce a general technique for proving estimates for certain random planar maps which belong to the Liouville quantum gravity (LQG) universality class.
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A distance exponent for Liouville quantum gravity
Ewain Gwynne,Nina Holden,Xin Sun +2 more
TL;DR: In this article, the LQG structure graphs (a.k.a. mated-CRT maps) were studied and upper and lower bounds for the cardinality of a graph-distance ball of radius n in the Gromov-Hausdorff topology were derived.