Jenkins−Strebel differentials

Organismal Differentials and Organ Differentials.

Multiplicative Differentials

We present a new type of differential that is particularly suited to analyzing ciphers that use modular multiplication as a primitive operation. These differentials are partially inspired by the differential used to break Nimbus, and we generalize that result. We use these differentials to break the MultiSwap cipher that is part of the Microsoft Digital Rights Management subsystem, to derive a ...

Selection and mortality differentials.

The Office of Population Censuses and Surveys Longitudinal Study provides reliable mortality data by a much wider range of characteristics than are available for other national sources. Although it is based on only a 1% sample of the population, it broadens the scope of mortality analysis and permits study of changes in relationships using different aspects of the time dimension. Data from this...

Temporal Photon Differentials

The finite frame rate also used in computer animated films is cause of adverse temporal aliasing effects. Most noticeable of these is a stroboscopic effect that is seen as intermittent movement of fast moving illumination. This effect can be mitigated using non-zero shutter times, effectively, constituting a temporal smoothing of rapidly changing illumination. In global illumination temporal sm...

Spaces of Elliptic Differentials

We study modular fibers of elliptic differentials, i.e. investigate spaces of coverings (Y, τ) → (C/Z ⊕ Zi, dz). For genus 2 torus covers with fixed degree we show, that the modular fibers Fd(1, 1) are connected torus covers with Veech group SL2(Z). Using results of Eskin, Masur and Schmoll [EMS] we calculate χ(Fd(1, 1)) and the parity of the spin structure of the quadratic differential (Fd(1, ...