Multiplicativity of the uniform norm and independent functions
1990 ◽
Vol 42
(1)
◽
pp. 153-155
Keyword(s):
It has long been known that there is a close connection between stochastic independence of continuous functions on an interval and space-filling curves [9]. In fact any two nonconstant continuous functions on [0, 1] which are independent relative to Lebesgue measure are the coordinate functions of a space filling curve. (The results of Steinhaus [9] have apparently been overlooked in more recent work in this area [3, 5, 6].)
2015 ◽
Vol 14
(12)
◽
pp. 6281-6294
Keyword(s):
2020 ◽
2016 ◽
Vol 11
(2)
◽
pp. 114-120
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Keyword(s):
1993 ◽
Vol 330
(4)
◽
pp. 763-766
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2021 ◽
Vol 12
(1)
◽
pp. 23-31
Keyword(s):