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"The Evolution of Compact Binary Star Systems"
Konstantin A. Postnov and Lev R. Yungelson 
Abstract
1 Introduction
2 Observations of Double Compact Stars
3 Basic Principles of the Evolution of Binary Stars
4 Evolutionary Scenario for Compact Binaries with Neutron Star or Black Hole Components
5 Formation of Double Compact Binaries
6 Detection Rates
7 Short-Period Binaries with White-Dwarf Components
8 Observations of Double-Degenerate Systems
9 Evolution of Interacting Double-Degenerate Systems
10 Gravitational Waves from Compact Binaries with White-Dwarf Components
11 AM CVn-Type Stars as Sources of Optical and X-Ray Emission
12 Conclusions
Acknowledgments
References
Footnotes
Updates
Figures
Tables
Instead of Monte Carlo simulations one may use a sufficiently dense grid in the 3D space of binary parameters and integrate over this grid (see, e.g., [791*] and references therein).