167 citations · 519 across the 84 of their papers we have counts for
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math.DS2005★ 37 cited
Ternary expansions of powers of 2
Jeffrey C. Lagarias
Paul Erdos asked how frequently the ternary expansion of 2^n omits the digit 2. He conjectured this happens only for finitely many values of n. We generalize this question to consi…
math.NT2005★ 4 cited
Benford's law for the function
Jeffrey C. Lagarias, K. Soundararajan
We show that for most choices of an initial seed , the sequence of the first iterates of under the map approximately satisfies Benford's law.
math.DS2005★ 2 cited
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)- y, x) of the plane R^2, in which F_{ab}(x)= ax if x>0 and bx if x<0. These maps are area-prese…