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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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Scaling limits of the Schelling model
Nina Holden,Scott Sheffield +1 more
TL;DR: The Schelling model of segregation, introduced by Schelling in 1969 as a model for residential segregation in cities, describes how populations of multiple types self-organize to form homogeneous clusters of one type.
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A distance exponent for Liouville quantum gravity
Ewain Gwynne,Nina Holden,Xin Sun +2 more
TL;DR: In particular, the authors showed that the expected graph distance between generic points in a subgraph of a planar graph with two vertices connected by an edge is of order O(n + o(n+1) + o((n + 1) + O(1)) for any ε > 0, which is consistent with the upper and lower bounds for the cardinality of a graph-distance ball.
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Brownian motion correlation in the peanosphere for $\kappa > 8$
TL;DR: In this paper, a framework for showing that random planar maps decorated with statistical physics models converge to LQG surfaces decorated with an independent SLE was provided, based on the calculation of a certain tail exponent for SLE$_{\kappa}$ on a quantum wedge and then matching it with an exponent which is well-known for Brownian motion.
Liouville quantum gravity weighted by conformal loop ensemble nesting statistics
Nina Holden,Matthis Lehmkuehler +1 more
TL;DR: In this paper , the authors study Liouville quantum gravity (LQG) surfaces whose law has been reweighted according to nesting statistics for a conformal loop ensemble (CLE) relative to marked points.
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Dimension transformation formula for conformal maps into the complement of an SLE curve
TL;DR: In this paper, the Hausdorff dimension of a deterministic Borel subset of the SLE curve was shown to be the same as the dimension of the same set with respect to the natural parameterization of the curve induced by an independent Gaussian free field.