  In this work, we investigate detection rates and parameter estimation of
strongly-lensed extreme mass-ratio inspirals (LEMRIs) in the context of the
Laser Interferometer Space Antenna (LISA). Our results indicate that LEMRIs
constitute a new gravitational-wave target signal for LISA, with detection
rates ranging from zero to $\sim 40$ events over a four year-observation, and
that it is possible to reveal and characterize LEMRIs at redshift $z \gtrsim
1$. We finally show that one LEMRI observation with identified host galaxy may
yield percent constraints or better on the Hubble constant.

Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology