标题： 多维连分数和一个闵可夫斯基函数 显示英文标题

标题： Multidimensional continued fractions and a Minkowski function

摘要： Minkowski问号函数可以表征为实单位区间上的唯一同胚，它将Farey映射与帐篷映射共轭。 我们构造了Minkowski函数的n维类似物，作为n单形上的唯一同胚，它将与Monkemeyer连分数算法相关的分段分数映射与适当的帐篷映射共轭。 显示英文摘要

摘要： The Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates the Farey map with the tent map. We construct an n-dimensional analogue of the Minkowski function as the only homeomorphism of an n-simplex that conjugates the piecewise-fractional map associated to the Monkemeyer continued fraction algorithm with an appropriate tent map.