  We study the population of low-mass X-ray binaries (LMXBs) in the Galactic
bulge using the deep survey of this region by the IBIS telescope aboard the
INTEGRAL observatory. Thanks to the increased sensitivity with respect to
previous surveys of this field, we succeeded to probe the luminosity function
(LF) of LMXBs down to ~7e34 erg/sec in the 17-60keV energy band. The slope dlog
N/dlog L=-0.96+/0.20 measured in the 1e35-1e37 erg/sec range confirms that the
LMXB LF flattens below L_x<1e37 erg/sec with respect to higher luminosities. We
discuss the origin of the observed LF flattening. We demonstrate that the
spatial distribution of persistent LMXBs in the Galactic Center/Galactic bulge
region is consistent with a model of stellar mass distribution that includes
the nuclear stellar disk component in the innermost degree of the Galaxy. The
spatial distribution of transient LMXBs detected in the Galactic Center region
indicates an increased fraction of transient sources in the innermost degree of
the Galaxy with respect to outer regions.
