Semi-log-convexity of $\mathrm{M}/\mathrm{M}/\infty$ queues on ${\mathbb{Z}}_{+}$

Huige Chen, Huaiqian Li

We solve the problem left in the recent paper by N. Gozlan et al [Potential Analysis 58, 2023, 123--158], establishing the semi-log-convexity of semigroups associated with ${\rm M}…