52 citations · 130 across the 26 of their papers we have counts for
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math.CO2013★ 1 cited
FKN Theorem on the biased cube
Piotr Nayar
In this note we consider Boolean functions defined on the discrete cube equipped with a biased product probability measure. We prove that if the spectrum of such a function is conc…
math.PR2013
Convex Poincaré inequality
P. Nayar, T. Tkocz
We characterize the symmetric measures which satisfy the one dimensional convex Poincaré inequality. For these measures the tenesorization argument yields concentration inequalitie…
math.PR2013
A note on certain convolution operators
Piotr Nayar, Tomasz Tkocz
In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely…