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Period Doubling Renormalization for Area-Preserving Maps and Mild Computer Assistance in Contraction Mapping Principle
Period Doubling Renormalization Area-Preserving Maps Mild Computer Assistance
2010/11/29
A universal period doubling cascade analogous to the famous Feigenbaum-Coullet-Tresser period doubling has been observed in area-preserving maps of R2. Existence of the “universal” map with orbits of ...
Heisenberg-Pauli-Weyl Uncertainty Principle for the Riemann-Liouville Operator
Heisenberg-Pauli-Weyl Inequality Riemann-Liouville operator Fourier transform local uncertainty principle
2010/1/22
The Heisenberg-Pauli-Weyl inequality is established for the Fourier transform connected with the Riemann-Liouville operator.Also, a generalization of this inequality is proved. Lastly, a local uncerta...
The Invariant Principle for .....Chain
random transition matrix Markov chain in random environment skew product Markov chain $p$-$ \vec{\theta}$ chain invariance principle
2007/12/10
There are two parts in this paper. In the first part we construct the Markov chain in random environment(MCRE), the skew product Markov chain and $% p $-$\vec{\theta }$ chain from a random transition ...