Considering in symmetrical half-length bond operations,we present in this paper two types of newlydeveloped generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion ...Considering in symmetrical half-length bond operations,we present in this paper two types of newlydeveloped generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures.The predominance in application of these generalized procedures are illustrated by making use of them to study the critical behavior of the spin-continuous Gaussian model constructed on the typical translational invariant lattices and fractals respectively.Results such as the correlation length critical exponents obtained by these means are found to be in good conformity with the classical results from other previous studies.展开更多
Considering a family of rational maps Tnλconcerning renormalization transform ation,we give a perfect description about the dynamical properties of Tnλand the topological properties of the Fatou components F(Tnλ).F...Considering a family of rational maps Tnλconcerning renormalization transform ation,we give a perfect description about the dynamical properties of Tnλand the topological properties of the Fatou components F(Tnλ).Furthermore,we discuss the continuity of the Hausdorff dimension HD(J(Tnλ))about real param eter A.展开更多
Quantum Monte Carlo data are often afflicted with distributions that resemble lognormal probability distributions and consequently their statistical analysis cannot be based on simple Gaussian assumptions.To this exte...Quantum Monte Carlo data are often afflicted with distributions that resemble lognormal probability distributions and consequently their statistical analysis cannot be based on simple Gaussian assumptions.To this extent a method is introduced to estimate these distributions and thus give better estimates to errors associated with them.This method entails reconstructing the probability distribution of a set of data,with given mean and variance,that has been assumed to be lognormal prior to undergoing a blocking or renormalization transformation.In doing so,we perform a numerical evaluation of the renormalized sum of lognormal random variables.This technique is applied to a simple quantum model utilizing the single-thread Monte Carlo algorithm to estimate the ground state energy or dominant eigenvalue of a Hamiltonian matrix.展开更多
基金Supported by the Shandong Province Science Foundation for Youths under Grant No.ZR2011AQ016the Shandong Province Postdoctoral Innovation Program Foundation under Grant No.201002015+1 种基金the Scientific Research Starting Foundation,Youth Foundation under Grant No.XJ201009the Foundation of Scientific Research Training Plan for Undergraduate Students under Grant No.2010A023 of Qufu Normal University
文摘Considering in symmetrical half-length bond operations,we present in this paper two types of newlydeveloped generalizations of the remarkable Migdal-Kadanoff bond-moving renormalization group transformation recursion procedures.The predominance in application of these generalized procedures are illustrated by making use of them to study the critical behavior of the spin-continuous Gaussian model constructed on the typical translational invariant lattices and fractals respectively.Results such as the correlation length critical exponents obtained by these means are found to be in good conformity with the classical results from other previous studies.
基金This work was supported by the National Natural Science Foundation of China(Grant No.11571049)the Special Basic Scientific Research Funds of Central Universities in China.
文摘Considering a family of rational maps Tnλconcerning renormalization transform ation,we give a perfect description about the dynamical properties of Tnλand the topological properties of the Fatou components F(Tnλ).Furthermore,we discuss the continuity of the Hausdorff dimension HD(J(Tnλ))about real param eter A.
基金supported by the University of KwaZulu-Natal Competitive Grant.
文摘Quantum Monte Carlo data are often afflicted with distributions that resemble lognormal probability distributions and consequently their statistical analysis cannot be based on simple Gaussian assumptions.To this extent a method is introduced to estimate these distributions and thus give better estimates to errors associated with them.This method entails reconstructing the probability distribution of a set of data,with given mean and variance,that has been assumed to be lognormal prior to undergoing a blocking or renormalization transformation.In doing so,we perform a numerical evaluation of the renormalized sum of lognormal random variables.This technique is applied to a simple quantum model utilizing the single-thread Monte Carlo algorithm to estimate the ground state energy or dominant eigenvalue of a Hamiltonian matrix.
