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gr-qc2004★ 11 cited
From Ginzburg-Landau to Hilbert-Einstein via Yamabe
Arkady L. Kholodenko, Ethan E. Ballard
In this work, based on some mathematical results obtained by Yamabe, Osgood, Phillips and Sarnak, we demonstrate that in dimensions three and higher the famous Ginzburg-Landau equa…
gr-qc2000★ 6 cited
Statistical Mechanics of 2+1 Gravity From Riemann Zeta Function and Alexander Polynomial:Exact Results
Arkady L. Kholodenko
In the recent publication (Journal of Geometry and Physics,33(2000)23-102) we demonstrated that dynamics of 2+1 gravity can be described in terms of train tracks. Train tracks were…