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arxiv: 1605.00985 · v4 · pith:OJWO5S74new · submitted 2016-05-03 · 🧮 math.PR

Alternating Arm Exponents for the Critical Planar Ising Model

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keywords alternatingexponentsfreetextboundarycriticalisingmodel
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We derive the alternating arm exponents of critical Ising model. We obtain six different patterns of alternating boundary arm exponents which correspond to the boundary conditions $(\ominus\oplus)$, $(\ominus\text{free})$ and $(\text{free}\text{free})$, and the alternating interior arm exponents.

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