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20112018
most citedA Family of Minimal and Renormalizable Rectangle Exchange Maps

2 citations · 4 across the 4 of their papers we have counts for

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Showing 2016Show all

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math.DS2016

The Triple Lattice PETs

Ren Yi

Polytope exchange transformations (PETs) are higher dimensional generalizations of interval exchange transformations (IETs) which have been well-studied for more than 40 years. A g…

math.DS2016

The Tetrahedral Twists

Ren Yi

We introduce a family of piecewise isometries parametrized by on the surface of a regular tetrahedron, which we call the tetrahedral twists. This family of maps…