Rhythmically bouncing a ball with a racket is a task that affords passively stable solutions as demonstrated by stability analyses of a mathematical model of the task. Passive stability implies that no active control is needed as errors die out without requiring corrective actions. Empirical results from human performance demonstrated that actors indeed exploit this passive dynamics in steady-s...

The interest toward the classification of time series has recently received a lot of contributions (see Piccolo, 2007, for a review). Most of these studies are devoted to capture the structure of the mean of the process hypothesized as generator of the data, whereas little attention has been devoted to the variance. When dealing with heteroskedastic time series, in which the (conditional) varia...

The main purpose of this paper is to produce a geometric realization for the tempered modules of the affine Hecke algebra of type C (1) n with arbitrary, non-root of unity, unequal parameters, using the exotic DeligneLanglands correspondence ([Ka08a]). Our classification has several applications to the Weyl group module structure of the tempered Hecke algebra modules. In particular, we provide ...

The Black–Scholes* option pricing model is commonly applied to value a wide range of option contracts. However, the model often inconsistently prices deep in-the-money and deep out-of-the-money options. Options professionals refer to this well-known phenomenon as a volatility ‘skew’ or ‘smile’. In this paper, we examine an extension of the Black–Scholes model developed by Corrado and Su‡ that s...