Narrow Results

In this paper, we have provided a systematic measurement of the longitudinal resistance R_xx of quantum Hall transition in a two-subband two-dimensional electron system. The data shows that the standard scaling behavior with single critical point remains unchanged even with strong Landau level degeneracy. There is no definite evidence to support the recent prediction that the width of transition region becomes finite when extrapolated to zero temperature, resulting from Landau level mixing.

The so-called renormalization group equation or Cvitanovic–Feigenbaum (CF) equation arises in the universal scaling theory of iterated maps. In this Letter, a set of formal analytic solutions of this equation is obtained by assuming that the solutions have a particular functional form.

In recent studies the truncated Levy process (TLP) has been shown to be very promising for the modeling of financial dynamics. In contrast to the Levy process, the TLP has finite moments and can account for both the previously observed excess kurtosis at short timescales, along with the slow convergence to Gaussian at longer timescales. In this paper I further test the truncated Levy paradigm using high frequency data from the Australian All Ordinaries share market index. I then consider an optimal option hedging strategy which is appropriate for the early Levy dominated regime. This is compared with the usual delta hedging approach and found to differ significantly.