On a finite range decomposition of the resolvent of a fractional power of the Laplacian. II: The torus

DOI10.1007/s10955-017-1828-5zbMath1374.82007arXiv1701.04111OpenAlexW2573056691MaRDI QIDQ1675344

Pronob K. Mitter

Publication date: 27 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04111

zbMATH Keywords

latticetorusfractional operatorsfinite range decompositionrenormalisation group

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Critical two-point function for long-range \(O(n)\) models below the upper critical dimension ⋮ Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension

Cites Work

• Unnamed Item
• On a finite range decomposition of the resolvent of a fractional power of the Laplacian
• A simple method for finite range decomposition of quadratic forms and Gaussian fields
• Finite range decomposition of Gaussian processes
• Critical two-point function for long-range \(O(n)\) models below the upper critical dimension
• Finite range decomposition for families of gradient Gaussian measures
• A renormalisation group method. III. Perturbative analysis

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