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Correction to: _Nature Physics_ https://doi.org/10.1038/s41567-019-0702-6, published online 11 November 2019. In the version of this Perspective originally published, in Box 1, the sentence

“The single particle in the high-energy site can move to the lower-energy site with rate _p_, but in doing so the system will lose energy Δ_E_.” has been amended to read “The single particle

in the site with high energy _E_1 can move to the site with lower energy _E_2 with rate _p_, but in doing so the system will lose energy Δ_E_ = _E_1 − _E_2.” Accordingly, also in Box 1, the

following equation changes have been made. (1) In the equations for ‘ \(\frac{\alpha }{\gamma }\) ’ and ‘\(\frac{\beta }{\delta }\) ’, the superscripts ‘_μ_left/_k_B_T_’ and

‘−_μ_right_k_B_T_’, respectively, should have been ‘(_μ_left−_E_1)/_k_B_T_’ and ‘−(_μ_right−_E_2)/_k_B_T_’; the correct equations are ‘\(\frac{\alpha }{\gamma } = e^{\left( {\mu

_{{\mathrm{left}}} - E_1} \right){\mathrm{/}}k_{\mathrm{B}}T}\)’ and ‘\(\frac{\beta }{\delta } = e^{ - \left( {\mu _{{\mathrm{right}}} - E_2} \right){\mathrm{/}}k_{\mathrm{B}}T}\)’. (2) In

the equation in the sentence beginning “For example:”, the term ‘\(+ \frac{{\Delta E}}{{k_{\mathrm{B}}T}}\)’ should not have been included; the correct equation is: The online versions of

the Perspective have been amended. AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Department of Biophysics, University of Michigan, Ann Arbor, MI, USA Jordan M. Horowitz * Center for the

Study of Complex Systems, University of Michigan, Ann Arbor, MI, USA Jordan M. Horowitz * Department of Physics, University of Michigan, Ann Arbor, MI, USA Jordan M. Horowitz * Department of

Chemistry, Northwestern University, Evanston, IL, USA Todd R. Gingrich Authors * Jordan M. Horowitz View author publications You can also search for this author inPubMed Google Scholar *

Todd R. Gingrich View author publications You can also search for this author inPubMed Google Scholar CORRESPONDING AUTHORS Correspondence to Jordan M. Horowitz or Todd R. Gingrich. RIGHTS

AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Horowitz, J.M., Gingrich, T.R. Author Correction: Thermodynamic uncertainty relations constrain non-equilibrium

fluctuations. _Nat. Phys._ 16, 599 (2020). https://doi.org/10.1038/s41567-020-0853-5 Download citation * Published: 09 March 2020 * Issue Date: May 2020 * DOI:

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