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Exponential multiple mixing for some partially hyperbolic flows on products of <inline-formula><tex-math id="M1">\begin{document}$ {\rm{PSL}}(2, \mathbb{R})$\end{document}</tex-math></inline-formula>
We prove a sharp estimate up to a logarithmic factor on the rate of equidistribution of coordinate horocycle flows on $ Γ \backslash{\rm{PSL}}(2, \mathbb{R})^d$, where $ d ∈ \mathbb{N}_{≥2}$ and $ Γ \subset {\rm{PSL}}(2, \mathbb{R})^d$ is a cocompact and irreducible lattice. As a consequence, we prove exponential multiple mixing for …