The Ising magnetization exponent on $$\mathbb{Z }^2$$ Z 2 is $$1/15$$ 1 / 15-Reference-Cited by-同舟云学术

The Ising magnetization exponent on $$\mathbb{Z }^2$$ Z 2 is $$1/15$$ 1 / 15

Published:2013-09-11 Issue:1-2 Volume:160 Page:175-187
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Camia Federico,Garban Christophe,Newman Charles M.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-013-0526-8.pdf

Reference28 articles.

1. Aizenman, M., Barsky, D.J., Fernández, R.: The phase transition in a general class of Ising-type models is sharp. J. Stat. Phys. 47, 343–374 (1987)

2. Baxter, R.J.: Onsager and Kaufman’s calculation of the spontaneous magnetization of the Ising model: II. arXiv:1211.2665 (2012)

3. Beffara, V., Duminil-Copin, H.: Smirnov’s fermionic observable away from criticality. Ann. Probab. 40, 2667–2689 (2012)

4. Camia, F.: Towards conformal invariance and a geometric representation of the 2D Ising magnetization field. Markov Process. Relat. Fields 18, 89–110 (2012)

5. Camia, F., Garban, C., Newman, C.M.: Planar Ising magnetization field I. Uniqueness of the critical scaling limit. arXiv:1205.6610 (2012)

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on Zd;Journal of Mathematical Physics;2023-01-01

2. Planar random-cluster model: scaling relations;Forum of Mathematics, Pi;2022

3. FK–Ising coupling applied to near-critical planar models;Stochastic Processes and their Applications;2020-02

4. Exponential Decay for the Near‐Critical Scaling Limit of the Planar Ising Model;Communications on Pure and Applied Mathematics;2020-01-10

5. Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman;Sojourns in Probability Theory and Statistical Physics - I;2019