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physics.chem-ph2002★ 52 cited
Multiresolution analysis in statistical mechanics. I. Using wavelets to calculate thermodynamic properties
Ahmed E. Ismail, Gregory C. Rutledge, George Stephanopoulos
The wavelet transform, a family of orthonormal bases, is introduced as a technique for performing multiresolution analysis in statistical mechanics. The wavelet transform is a hier…
physics.chem-ph2002★ 53 cited
Multiresolution analysis in statistical mechanics. II. The wavelet transform as a basis for Monte Carlo simulations on lattices
Ahmed E. Ismail, George Stephanopoulos, Gregory C. Rutledge
In this paper, we extend our analysis of lattice systems using the wavelet transform to systems for which exact enumeration is impractical. For such systems, we illustrate a wavele…