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Series expansions from the corner transfer matrix renormalization group method: the hard squares model
Corner transfer matrix hard squares model series expansions
2011/9/30
Abstract: The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxter's corner transfe...
Self-energy effects in the Polchinski and Wick-ordered renormalization-group approaches
Self-energy effects Polchinski Wick-ordered renormalization-group approaches
2010/12/16
I consider treatment of the self-energy effects in the functional renormalization group (fRG) schemes, which do not rely on the one-particle irreducible functional.
Generalized Central Limit Theorem and Renormalization Group
Central Limit Theorems Stable Distributions Characteristic Functions
2010/12/7
We introduce a simple instance of the renormalization group transformation in the Banach space of probability densities. By changing the scaling of the renormalized variables we obtain, as fixed point...
Renormalization group structure for sums of variables generated by incipiently chaotic maps
Renormalization group chaotic maps
2010/4/7
We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of su...
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
Bogoliubov Renormalization Group and Symmetry of Solution in Mathematical Physics
Bogoliubov Renormalization Group Mathematical Physics
2010/11/2
Evolution of the concept known in the theoretical physics as the Renormalization Group (RG) is presented. The corresponding symmetry, that has been first introduced in QFT in mid-fifties, is a contin...