Critical exponents for a percolation model on transient graphs
CC BY
Lưu vào:
| Tác giả chính: | , , |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Nhà xuất bản: |
2023
|
| Chủ đề: | |
| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00222-022-01168-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7416 |
| Từ khóa: |
Thêm từ khóa
Không có từ khóa, Hãy là người đầu tiên đánh dấu biểu ghi này!
|
| id |
oai:localhost:PNK-7416 |
|---|---|
| record_format |
dspace |
| spelling |
oai:localhost:PNK-74162023-04-03T03:35:42Z Critical exponents for a percolation model on transient graphs Alexander, Drewitz Alexis, Prévost Pierre-François, Rodriguez (near-)critical regime three-dimensional cubic lattice CC BY We consider the bond percolation problem on a transient weighted graph induced by the excursion sets of the Gaussian free field on the corresponding cable system. Owing to the continuity of this setup and the strong Markov property of the field on the one hand, and the links with potential theory for the associated diffusion on the other, we rigorously determine the behavior of various key quantities related to the (near-)critical regime for this model. In particular, our results apply in case the base graph is the three-dimensional cubic lattice. They unveil the values of the associated critical exponents, which are explicit but not mean-field and consistent with predictions from scaling theory below the upper-critical dimension. 2023-04-03T02:58:16Z 2023-04-03T02:58:16Z 2022 Book https://link.springer.com/article/10.1007/s00222-022-01168-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7416 en application/pdf |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
(near-)critical regime three-dimensional cubic lattice |
| spellingShingle |
(near-)critical regime three-dimensional cubic lattice Alexander, Drewitz Alexis, Prévost Pierre-François, Rodriguez Critical exponents for a percolation model on transient graphs |
| description |
CC BY |
| format |
Book |
| author |
Alexander, Drewitz Alexis, Prévost Pierre-François, Rodriguez |
| author_facet |
Alexander, Drewitz Alexis, Prévost Pierre-François, Rodriguez |
| author_sort |
Alexander, Drewitz |
| title |
Critical exponents for a percolation model on transient graphs |
| title_short |
Critical exponents for a percolation model on transient graphs |
| title_full |
Critical exponents for a percolation model on transient graphs |
| title_fullStr |
Critical exponents for a percolation model on transient graphs |
| title_full_unstemmed |
Critical exponents for a percolation model on transient graphs |
| title_sort |
critical exponents for a percolation model on transient graphs |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00222-022-01168-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7416 |
| _version_ |
1762184301745537024 |
| score |
8.881002 |