45 citations · 674 across the 102 of their papers we have counts for
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math.DS2012★ 1 cited
Selfsimilarity in the Birkhoff sum of the cotangent function
Oliver Knill
We prove that the Birkhoff sum S(n)/n = (1/n) sum_(k=1)^(n-1) g(k A) with g(x) = cot(Pi x) and golden ratio A converges in the sense that the sequence of functions s(x) = S([ x q(2…
math.DS2012★ 3 cited
A Brouwer fixed point theorem for graph endomorphisms
Oliver Knill
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fix…