Abstract
In statistical physics, the Ising model represents a simplified model for magnetization. Each piece of the surface (here each face of a map) carries a unit of magnetization, pointing either upward + or downward −. This can also be represented as a map with bicolored faces black/white, or + ∕−, or any other convenient choice. The color is also called the spin, worth + or −.
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Notes
- 1.
The proof of these two theorems was done in [72]. The proof presented here, is much simpler, and is due to Luigi Cantini in 2007. It was never published and we thank L. Cantini for that proof.
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Eynard, B. (2016). Ising Model. In: Counting Surfaces. Progress in Mathematical Physics, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8797-6_8
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DOI: https://doi.org/10.1007/978-3-7643-8797-6_8
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