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We consider the Hawking-Page phase transition between the BTZ black hole of $M \ge 0$ and the thermal soliton of $M=-1$.
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A. Medved and G. Kunstatter, One loop corrected thermodynamics of the extremal and nonextremal spinning BTZ black hole
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S. Surya, K. Schleich, and D. M. Witt, Phase transitions for flat AdS black holes
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M. Kleban, M. Porrati, and R. Rabadan, Poincare recurrences and topological diversity
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A. Maloney and E. Witten, Quantum Gravity Partition Functions in Three Dimensions
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J. York, James W., Black hole thermodynamics and the Euclidean Einstein action
2099
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