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Minkowski's question mark function

Known as: Conway box function, %3F function, %3F(x) 
In mathematics, the Minkowski question mark function (or the slippery devil's staircase), denoted by ?(x), is a function possessing various unusual… (More)
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1959-2018
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Related mentions per year

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1936-2018
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Minkowski's question mark function
Algorithm
Recursion
Fixed point (mathematics)
Fractal
Run-length encoding

Papers overview

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2011
2011
Addenda and corrigenda to "The Minkowski question mark function: explicit series for the dyadic period function and moments"
In this supplement we fully complete the proofs of the statements which were left out or only briefly sketched in the main paper… (More)
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2010
2010
The Minkowski question mark function: explicit series for the dyadic period function and moments
Previously, several natural integral transforms of the Minkowski question mark function F (x) were introduced by the author. Each… (More)
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2009
2009
MINKOWSKI QUESTION MARK FUNCTION AND ITS GENERALIZATIONS, ASSOCIATED WITH p−CONTINUED FRACTIONS: FRACTALS, EXPLICIT SERIES FOR THE DYADIC PERIOD FUNCTION AND MOMENTS
Previously, several natural integral transforms of Minkowski question mark function F (x) were introduced by the author. Each of… (More)
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2008
2008
The Moments of Minkowski Question Mark Function: the Dyadic Period Function
The Minkowski question mark function ?(x) arises as a real distribution of rationals in the Farey tree. We examine the generating… (More)
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2008
2008
Generating and Zeta Functions, Structure, Spectral and Analytic Properties of the Moments of Minkowski Question Mark Function
In this paper we are interested in moments of Minkowski question mark function ?(x). It appears that, to certain extent, the… (More)
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2008
2008
Asymptotic Formula for the Moments of Minkowski Question Mark Function in the Interval [0, 1]
In this paper we prove the asymptotic formula for the moments of Minkowski question mark function in the interval [0, 1]. The… (More)
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2008
2008
Multidimensional Continued Fractions and a Minkowski Function
The Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates… (More)
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2007
2007
Fractal Analysis for Sets of Non-differentiability of Minkowski’s Question Mark Function
In this paper we study various fractal geometric aspects in connection with Minkowski’s question mark function Q on the unit… (More)
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Highly Cited
2007
Highly Cited
2007
Developments in Non-Expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk
OW MANY THEORIES of decision making under risk and uncertainty can you think of? Readers of this article will no doubt be… (More)
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2007
2007
The Minkowski Question Mark, Gl(2,z) and the Modular Group (expository)
Fractals and continued fractions seem to be deeply related in many ways. Farey fractions appear naturally in both. Much of this… (More)
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