The Bramson correction for Fisher--KPP equations with nonlocal diffusion

We establish the logarithmic Bramson correction to the position of solutions to the Fisher–KPP equation with nonlocal diffusion. Solutions with step-like initial data typically resemble a front at position $c_{} t - \frac{3}{2 \lambda_{}} \log t + $\mathcal{O}$(1)$forexplicitconstants$c_{}$and$\lambda_{}$. However, certain singular diffusions exhibit more exotic behavior.