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20152025
most citedIsometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form

4 citations · 4 across the 7 of their papers we have counts for

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math.DS2015

Invariant measure of rotational beta expansion and a problem of Tarski

Shigeki Akiyama, Jonathan Caalim

We study invariant measures of a piecewise expanding map in defined by an expanding similitude modulo lattice. Using the result of Bang on a problem of Tarski, we sh…

math.DS2015

Rotational beta expansion: Ergodicity and Soficness

Shigeki Akiyama, Jonathan Caalim

We study a family of piecewise expanding maps on the plane, generated by composition of a rotation and an expansive similitude of expansion constant . We give two constants $B_1…