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John H. Lowenstein 的论文(4) 排序方式:
Geometric representation of interval exchange maps over algebraic number fields  
This paper is concerned with the restriction of interval exchange transformations (IETs) to algebraic number fields, which leads to maps on lattices. We characterize renormalizability arithmetically a......
Nonlinearity  2008
0次引用 0 0
Arithmetical properties of a family of irrational piecewise rotations  
We study a family of piecewise rotations of a torus with irrational rotation number, depending on a parameter lambda. Our approach is arithmetical. We represent periodic coordinates explicitly as elem......
Nonlinearity  2006
0次引用 0 0
Quadratic rational rotations of the torus and dual lattice maps  
We develop a general formalism for computer-assisted proofs concerning the orbit structure of certain nonergodic piecewise affine maps of the torus, whose eigenvalues are roots of unity. For a specif......
Nonlinearity  2002
6次引用 0 0
Quasi-periodicity, global stability and scaling in a model of Hamiltonian round-off  
Computer simulation of a dynamical system often in- volves rounding off, i.e., replacing a continuous dynami- cal mapping arising from a set of differential equations by a discrete one which can be im......
1次引用 0 0

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