Global maximum of ?(x)-x

[Antti Karttunen]

Antti Karttunen wrote:

> Gene Smith wrote:
>
>>
>>
>> On 6/10/06, *Joseph Biberstine* <jrbibers at indiana.edu 
>> <mailto:jrbibers at indiana.edu>> wrote:
>>
>>             Not clever enough to figure this out a reliable
>>     computation of this
>>     myself.  Please help find enough accurate terms for OEIS and I 
>> will of
>>     course credit you.
>>
>>             Consider f(x) := ?(x)-x where ?(x) is Minkowski's question
>>     mark function.
>>             Recently I've wondered at what value xmax f will obtain
>>     its global
>>     maximum (mod 1). 
>>
>>
>> Another question is where does ?(x)=x, aside from the obvious places 
>> at integers and half integers.
>
>
> http://www.research.att.com/~njas/sequences/?q=fixed+Minkowski&sort=0&fmt=0&language=english&go=Search 
>
> (Of course there is a second non-trivial fixed point at 1- 0.42037... 
> if I recall right.)
>
Yes, it's confrac has been already submitted by Joseph as:
http://www.research.att.com/~njas/sequences/A120221

-- Antti.