Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion-Reference-Cited by-同舟云学术

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Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion

Published:2022-08-24 Issue:2 Volume:395 Page:773-857
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Berestycki Nathanaël,Gwynne Ewain

Funder

Engineering and Physical Sciences Research Council

FWF

Herchel Smith fellowship

Clay Mathematics Institute

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s00220-022-04482-y.pdf

Reference74 articles.

1. Aizenman, M., Burchard, A.: Hölder regularity and dimension bounds for random curves. Duke Math. J. 99(3), 419–453 (1999). arXiv:math/9801027

2. Ambjørn, J., Nielsen, J.L., Rolf, J., Boulatov, D., Watabiki, Y.: The spectral dimension of 2d quantum gravity. J. High Energy Phys. 1998(02), 010 (1998)

3. Ambjørn, J., Anagnostopoulos, K.N., Jensen, L., Ichihara, T., Watabiki, Y.: Quantum geometry and diffusion. J. High Energy Phys. 1998(11), 022 (1999)

4. Andres, S., Kajino, N.: Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions. Probab. Theory Related Fields 166(3–4), 713–752 (2016). arXiv:1407.3240

5. Ang, M., Gwynne, E.: Liouville quantum gravity surfaces with boundary as matings of trees. Ann. Inst. Henri Poincaré Probab. Stat. 57(1), 1–53 (2021). arXiv:1903.09120

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1. Harnack inequality and one-endedness of UST on reversible random graphs;Probability Theory and Related Fields;2023-11-08

2. Brownian half‐plane excursion and critical Liouville quantum gravity;Journal of the London Mathematical Society;2022-12-14

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