Random Geometry

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

The diameter of uniform spanning trees in high dimensions

Author(s): Peleg Michaeli; Asaf Nachmias; Matan Shalev
Published in: Probability Theory and Related Fields, Issue 7, 2021, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-020-00999-2

The Dirichlet problem for orthodiagonal maps

Author(s): Ori Gurel-Gurevich; Daniel C. Jerison; Asaf Nachmias
Published in: Advances in Mathematics, Issue 7, 2020, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2020.107379

Uniform Spanning Forests of Planar Graphs

Author(s): Tom Hutchcroft; Asaf Nachmias
Published in: Forum of Mathematics, Sigma, Issue 2, 2019, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2019.14

Unimodular hyperbolic triangulations: circle packing and random walk

Author(s): Omer Angel; Tom Hutchcroft; Asaf Nachmias; Gourab Ray
Published in: Inventiones mathematicae, Issue 13, 2016, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.17863/cam.38861

The local limit of uniform spanning trees

Author(s): Asaf Nachmias; Yuval Peres
Published in: Probability Theory and Related Fields, Issue 8, 2021, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01072-2

Hyperbolic and Parabolic Unimodular Random Maps

Author(s): Omer Angel, Tom Hutchcroft, Asaf Nachmias, Gourab Ray
Published in: Geometric and Functional Analysis, Issue 28/4, 2018, Page(s) 879-942, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-018-0446-y

The Local Limit of the Uniform Spanning Tree on Dense Graphs

Author(s): Jan Hladký, Asaf Nachmias, Tuan Tran
Published in: Journal of Statistical Physics, Issue 173/3-4, 2018, Page(s) 502-545, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-017-1933-5

Geometric and spectral properties of causal maps

Author(s): Nicolas Curien, Tom Hutchcroft, Asaf Nachmias
Published in: Journal of the European Mathematical Society, 2020, Page(s) 3997–4024, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1001

Slightly subcritical hypercube percolation

Author(s): Tim Hulshof; Asaf Nachmias
Published in: Random Structures and Algorithms, 2020, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.20853

A combinatorial criterion for macroscopic circles in planar triangulations

Author(s): Gurel-Gurevich, Ori; Jerison, Daniel C.; Nachmias, Asaf
Published in: Issue 2, 2019
Publisher: n/a

Return probabilities on nonunimodular transitive graphs

Author(s): Tang, Pengfei
Published in: Issue 1, 2021
Publisher: N/A

A note on some critical thresholds of Bernoulli percolation

Author(s): Tang, Pengfei
Published in: Issue 8, 2020
Publisher: n/a

Maximal displacement of simple random walk bridge on Galton-Watson trees

Author(s): Rosenberg, Josh
Published in: Issue 1, 2019
Publisher: n/a

The diameter of the uniform spanning tree of dense graphs

Author(s): Alon, Noga; Nachmias, Asaf; Shalev, Matan
Published in: Issue 1, 2021
Publisher: n/a

Planar Maps, Random Walks and Circle Packing - École d'Été de Probabilités de Saint-Flour XLVIII - 2018

Author(s): Asaf Nachmias
Published in: Planar Maps, Random Walks and Circle Packing, 2020, ISBN 978-3-030-27968-4
Publisher: Springer
DOI: 10.1007/978-3-030-27968-4

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