Category: List of Bases 2008 Throughout the year RESEARCH IN CONDENSED MATTER PHYSICS

Title:

Joint ICTP/SISSA Statistical Physics seminar: Series of lectures on: 'Singularities and asymptotics' Eighth lecture " Three recent results on asymptotics of oscillations "

Start Time:

11:00

Location:

ICTP (Leonardo da Vinci Building Lecture Room B)

Contact:

M. Poropat

Speaker(s):

M. BERRY (Bristol University)

Description:

The results are separate, and apparently paradoxical, and have implications for physics. First, when two exponentials compete, their interference can be dominated by the contribution with smaller exponent. Second, repeated differentiation of almost all functions in a wide class generates trigonometric oscillations (‘almost all functions tend to cosx’). Third, it is possible to find band-limited functions that oscillate arbitrarily faster than their fastest Fourier component (‘superoscillations’).