On a finite range decomposition of the resolvent of a fractional power of the Laplacian

DOI10.1007/s10955-016-1507-yzbMath1342.82040arXiv1512.02877OpenAlexW2566014697MaRDI QIDQ301754

Pronob K. Mitter

Publication date: 1 July 2016

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

Full work available at URL: https://arxiv.org/abs/1512.02877

zbMATH Keywords

resolventLévy processesrenormalization groupfinite range decompositionfractional power of Laplacian

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (5)

Erratum to: ``On a finite range decomposition of the resolvent of a fractional power of the Laplacian ⋮ On a finite range decomposition of the resolvent of a fractional power of the Laplacian. II: The torus ⋮ 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 ⋮ Self-avoiding walk, spin systems and renormalization

Cites Work

• Unnamed Item
• Unnamed Item
• A simple method for finite range decomposition of quadratic forms and Gaussian fields
• On the convergence to the continuum of finite range lattice covariances
• Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
• Finite range decomposition of Gaussian processes
• The global renormalization group trajectory in a critical supersymmetric field theory on the lattice \(\mathbb Z^{3}\)
• Critical exponents for long-range interactions
• Critical \((\Phi^4)_{3,\epsilon}\)
• Finite range decomposition for families of gradient Gaussian measures
• Scaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin model
• Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
• Infinite volume limit for the dipole gas
• A complete renormalization group trajectory between two fixed points
• Finite range decompositions of positive-definite functions
• The Renormalization Group and Self-avoiding Walk

This page was built for publication: On a finite range decomposition of the resolvent of a fractional power of the Laplacian