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Uniqueness of the critical long-range percolation metrics / Jian Ding, Zherui Fan, Lu-Jing Huang.
Math/Physics/Astronomy - New Book Shelf QA3 .A57 no.1620
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Log in to request item- Format:
- Book
- Author/Creator:
- Ding, Jian (Mathematician), author.
- Fan, Zherui, author.
- Huang, Lu-Jing, author.
- Series:
- Memoirs of the American Mathematical Society ; volume 318, number 1620.
- Memoirs of the American Mathematical Society, 0065-9266 ; volume 318, number 1620
- Language:
- English
- Subjects (All):
- Probabilities.
- probability.
- Physical Description:
- v, 134 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, 2026.
- Summary:
- In this work, we study the random metric for the critical long-range percolation on Zd. A recent work by Bäumler [3] implies the subsequential scaling limit, and our main contribution is to prove that the subsequential limit is uniquely characterized by a natural list of axioms. Our proof method is hugely inspired by recent works of Gwynne and Miller [42], and Ding and Gwynne [25] on the uniqueness of Liouville quantum gravity metrics.
- Notes:
- Includes bibliographical references (pages 131-134).
- ISBN:
- 1470480050
- 9781470480059
- OCLC:
- 1579824361
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