Hierarchical Dyson model and $p$-adic conformal invariance
Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 2, pp. 227-237
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The condition of conformal invariance of a field of a $p$-adic argument is reformulated in terms of the hierarchical Dyson model. A non-Gaussian scale-invariant random field of ap-adic argument ($\varphi _d^4$ theory with propagator $|x-y|^{-d/2+\varepsilon }$), is rigorously constructed, and its conformal invariance is proved.
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É. Yu. Lerner. Hierarchical Dyson model and $p$-adic conformal invariance. Teoretičeskaâ i matematičeskaâ fizika, Tome 97 (1993) no. 2, pp. 227-237. http://geodesic.mathdoc.fr/item/TMF_1993_97_2_a4/

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