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Cosine polynomials with few zeros
Abstract: In a celebrated paper, Borwein, Erdélyi, Ferguson and Lockhart constructed cosine polynomials of the form f A ( x ) = ∑ a ∈ A cos ( a x ) , with A ⊆ N , | A | = n and as few as n 5 / 6 + o ( 1 ) zeros in [ 0 , 2 π ] ...
Limit profiles for reversible Markov chains
Abstract In a recent breakthrough, Teyssier (Ann Probab 48(5):2323–2343, 2020) introduced a new method for approximating the distance from equilibrium of a random walk on a group. He used it to...