We apply the multiple point criticality principle to inflationary model building and study Coleman-Weinberg inflation when scalar potential is quadratic in logarithmic correction. analyze also impact of a non-minimal coupling gravity under two possible formulation: metric or Palatini. compare eventual compatibility results with final data release Planck mission.

We give an overview of some p-adic algorithms for computing with elliptic and hyperelliptic curves, starting with Kedlaya’s algorithm. While the original purpose of Kedlaya’s algorithm was to compute the zeta function of a hyperelliptic curve over a finite field, it has since been used in a number of applications. In particular, we describe how to use Kedlaya’s algorithm to compute Coleman inte...

Should probability play a role in linguistics? Whereas Chomsky (1957: 16–17) influentially rejected probability in syntactic theory, “[i]n phonological theory, probability has not so much been rejected as disregarded” (Coleman, 2003: 89). Disregard has, however, given way to a growing literature on the use of probability across the various linguistic sub-disciplines (see, e.g., Bod et al., 2003...

The tricritical point, which separates first and second order phase transitions in three-dimensional superconductors, is studied in the four-dimensional Coleman-Weinberg model, and the similarities as well as the differences with respect to the threedimensional result are exhibited. The position of the tricritical point in the Coleman-Weinberg is derived and found to be in agreement with the Th...