Andrew Ferguson

activity

20092013

most citedSlicing the Sierpiński gasket

18 citations · 18 across the 3 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

math.DS2013

Scaling scenery of $(\times m, \times n)$ invariant measures

Andrew Ferguson, Jonathan Fraser, Tuomas Sahlsten

We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral endomorphism $(x, y) \mapsto (m x mod 1, n y mod 1)$ that are Bernoulli measures for…

math.DS2013★ 18 cited

Slicing the Sierpiński gasket

Balázs Bárány, Andrew Ferguson, Károly Simon

We investigate the dimension of intersections of the Sierpiński gasket with lines. Our first main result describes a countable, dense set of angles that are exceptional for Marstra…

Scaling scenery of (×m,×n) invariant measures

Slicing the Sierpiński gasket

Scaling scenery of $(\times m, \times n)$ invariant measures