we prove a conjecture from which suggests that the asymptotic invariant coincides with the largest dilatation of the pseudo-anosov components of [MATH] and its logarithm coincides with the topological entropy .,we prove a conjray ban sunglasses canadaecture from which suggests that the asymptotic invariant coincides with asymptotic nielsen number and with the largest dilatation of the pseudo-anosov components of [MATH] and its logarithm coincides with topological entropy .

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"two particle azimuthal correlation function can be expanded in fourier series in relative angle [MATH] of particle pair a , b : [MATH] in case correlations are only due to flow , where particles are independently correlated to the participant plane , then [MATH] should factorize : [MATH] thus [MATH] can be obtained for a given by [MATH] alternatively , if reference [MATH] is known , [MATH] can be obtained by mixed - pair : [MATH] in this paper we use [MATH] to stand for anisotropies measured by two-particle correlations ( [MATH] as often used in literature ) .","the toakley apparel 2017 k7ax8uwo particle azimuthal correlation function can be expanded in a fourier series in relative angle [MATH] of the particle pair a , b : [MATH] in the case where correlations are only due to flow , particles are independently correlated to the participant plane , so [MATH] should factorize : [MATH] thus [MATH] can be obtained for a given by [MATH] alternatively , if a reference [MATH] is known , [MATH] can be obtained by mixed - pair : [MATH] in this paper we use [MATH] to stand for anisotropies measured by two-particle correlations ( [MATH] as often used in literature ) ."

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