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1 Introduction
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2 Thermodynamics of self-gravitating systems
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3 Thermodynamical stability of self-gravitating systems
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4 Connexion with statistical mechanics
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5 Generalized thermodynamics and Tsallis entropy
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6 The isobaric ensemble
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7 Stability of galaxies and stars
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8 Conclusion
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Appendix A: Some useful identities for isothermal spheres
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Appendix B: Some useful identities for polytropic spheres
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Appendix C: Equation of pulsations and boundary conditions
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References
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