%0 Generic %1 duminilcopin2018exponential %A Duminil-Copin, Hugo %A Goswami, Subhajit %A Raoufi, Aran %D 2018 %K Ising correlation truncated %R 10.1007/s00220-019-03633-y %T Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature %U http://arxiv.org/abs/1808.00439 %X The truncated two-point function of the ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($\beta>\beta_c$ and $h=0$). Together with the previously known results, this implies that the exponential clustering property holds throughout the model's phase diagram except for the critical point: $(\beta,h) = (\beta_c,0)$.

@misc{duminilcopin2018exponential, abstract = {The truncated two-point function of the ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($\beta>\beta_c$ and $h=0$). Together with the previously known results, this implies that the exponential clustering property holds throughout the model's phase diagram except for the critical point: $(\beta,h) = (\beta_c,0)$.}, added-at = {2021-09-02T18:32:48.000+0200}, author = {Duminil-Copin, Hugo and Goswami, Subhajit and Raoufi, Aran}, biburl = {https://www.bibsonomy.org/bibtex/27209c1530673374d44b2287f3a75f1ea/gzhou}, description = {Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature}, doi = {10.1007/s00220-019-03633-y}, interhash = {1f4543dfe7789ebecc711fc2d746e0a3}, intrahash = {7209c1530673374d44b2287f3a75f1ea}, keywords = {Ising correlation truncated}, note = {cite arxiv:1808.00439Comment: 29 pages, 3 figures. A new corollary (the so-called ratio weak mixing property) has been added. The exposition has been modified based on the comments of the referee. Accepted for publication in the Communications in Mathematical Physics}, timestamp = {2021-09-02T18:32:48.000+0200}, title = {Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature}, url = {http://arxiv.org/abs/1808.00439}, year = 2018 }