## 1 Correction to: J Stat Phys (2013) 153:363–375 https://doi.org/10.1007/s10955-013-0825-6

In [1], on p. 366, line 5 and on p. 369, line 12, replace

with

where *D*(0) is defined in [10], p. 4.”.

We underline that the strategy of proof described in [1] is independent of the value of \(\alpha \).

The precise formulation of *D*(0) is recalled below. Let

with

and denote with \(\text {sp}(A_\sigma )\) the spectrum of \(A_\sigma \). For \(R>0\), consider

The value of *D*(0) is then obtained in the limit \(D(0)=\lim _{R\rightarrow 0^+} D(R)\).

## Reference

Bernard, É., Salvarani, F.: Optimal estimate of the spectral gap for the degenerate Goldstein-Taylor model. J. Stat. Phys.

**153**(2), 363–375 (2013)

## Acknowledgements

The authors are grateful to the colleagues Anton Arnold and Josephine Evans for pointing out this imprecision.

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Bernard, É., Salvarani, F. Correction to: Optimal Estimate of the Spectral Gap for the Degenerate Goldstein-Taylor Model.
*J Stat Phys* **181**, 1470–1471 (2020). https://doi.org/10.1007/s10955-020-02631-y

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DOI: https://doi.org/10.1007/s10955-020-02631-y