From f0dee343da2652257a109b5bb465733575bb2979 Mon Sep 17 00:00:00 2001 From: Fabian Joswig Date: Mon, 15 Nov 2021 15:49:04 +0000 Subject: [PATCH] docs: definition of tau_int added to docs --- pyerrors/__init__.py | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/pyerrors/__init__.py b/pyerrors/__init__.py index 2f194514..d7108dfb 100644 --- a/pyerrors/__init__.py +++ b/pyerrors/__init__.py @@ -81,7 +81,10 @@ my_sum.details() ``` -The standard value for the automatic windowing procedure is $S=2$. Other values for $S$ can be passed to the `gamma_method` as parameter. +We use the following definition of the integrated autocorrelation time established in [Madras & Sokal 1988](https://link.springer.com/article/10.1007/BF01022990) +$$\tau_\mathrm{int}=\frac{1}{2}+\sum_{t=1}{W}\rho(t)$$ +The window $W$ is determined via the automatic windowing procedure described in [arXiv:hep-lat/0306017](https://arxiv.org/abs/hep-lat/0306017) +The standard value for the parameter $S$ of this automatic windowing procedure is $S=2$. Other values for $S$ can be passed to the `gamma_method` as parameter. Example: ```python