We present a 1.1 mm census of dense cores in the Mon R2 Giant Molecular Cloud with the AzTEC instrument on the Large Millimeter Telescope ( LMT ) .
We detect 295 cores ( 209 starless , and 86 with protostars ) in a two square degree shallow survey .
We also carry out a deep follow-up survey of 9 regions with low to intermediate ( 3 < A _ { V } < 7 ) gas column densities and detect 60 new cores in the deeper survey which allows us to derive a completeness limit .
After performing corrections for low signal-to-noise cores , we find a median core mass of \sim 2.1 \text { M } _ { \odot } and a median size of 0.08 pc . 46 \% of the cores ( 141 ) have masses exceeding the local Bonor-Ebert mass for cores with T=12K , suggesting that in the absence of supporting non-thermal pressure , these regions are unstable to gravitational collapse .
We present the core mass function ( CMF ) for various subdivisions of the core sample .
We find that cores with masses > 10 M _ { \odot } are exclusively found in regions with high core number densities and that the CMF of the starless cores has an excess of low-mass cores ( < 5 M _ { \odot } ) compared to the CMF of protostellar cores .
We report a power law correlation of index 1.99 \pm 0.03 between local core mass density and gas column density ( as traced by Herschel ) over a wide range of size scales ( 0.3-5 pc ) .
This power law is consistent with that predicted for thermal fragmentation of a self-gravitating sheet .
Finally , we find the global core formation efficiency increases with gas column density , reaching \sim 43 % efficiency for gas with A _ { V } \geq 30 .