27 Jul
2009
27 Jul
'09
7:17 p.m.
Somewhat similar to the situation with sqrt2: A combination of a uniform distribution, and a spike of points near 0. I think sqrt2+sqrt3 will behave this way: The odd powers looking uniform (mod 1), while the even powers cluster near 0. Rich --------------- Quoting Dan Asimov <dasimov@earthlink.net>:
What does "have a cluster point at 0" mean here?
E.g., it might mean that the underlying density is infinite, or has a local max, at 0.
--Dan
<< ITEM 32 (Schroeppel) Take a random real number and raise it to large powers; we expect the fraction part to be uniformly distributed. . . . . . . Now, 3 + sqrt2 is suspicious; it looks non-uniform, and seems to have a cluster point at zero. PROBLEM: Is it non-uniform?