Advanced LIGO & Advanced Virgo are detecting a large number of binary stellar origin black hole ( BH ) mergers .
A promising channel for accelerated BH merger lies in active galactic nucleus ( AGN ) disks of gas around super-masssive black holes .
Here we investigate the relative number of compact object mergers in AGN disk models , including BH , neutron stars ( NS ) and white dwarfs , via Monte Carlo simulations .
We find the number of all merger types in the bulk disk grows \propto t ^ { 1 / 3 } which is driven by the Hill sphere of the more massive merger component .
Median mass ratios of NS-BH mergers in AGN disks are \tilde { q } = 0.07 \pm 0.06 ( 0.14 \pm 0.07 ) for mass functions ( MF ) M ^ { -1 ( -2 ) } .
If a fraction f _ { AGN } of the observed rate of BH-BH mergers ( { \cal } { R } _ { BH - BH } ) come from AGN , we expect a rate of NS-BH ( NS-NS ) mergers from the AGN channel of { \cal } { R } _ { BH - NS } \sim f _ { AGN } [ 10 , 300 ] Gpc ^ { -3 } yr ^ { -1 } , ( { \cal } { R } _ { NS - NS } \leq f _ { AGN } 400 Gpc ^ { -3 } yr ^ { -1 } ) .
Allowing for the ratio of NS-NS/BH-BH LIGO search volumes , from preliminary O3 results we can rule out the AGN channel as a dominant contribution to observed NS-NS mergers .
The number of lower mass gap events in this channel is a strong function of the nuclear MF and mass segregation efficiency .
Compact object merger ratios derived from LIGO can restrict models of MF , mass segregation and populations embedded in AGN disks .
The expected number of EM counterparts to NS-BH mergers in AGN disks at z < 1 is \sim [ 30 , 900 ] { yr } ^ { -1 } ( f _ { AGN } / 0.1 ) .
EM searches for flaring due to embedded events in large AGN surveys will complement LIGO constraints on AGN models and the embedded populations that must live in them .