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The mystery of a simple fixed-point equation

Martin Greiner
Torsdag, 29 april, 2010, at 16:15, in Aud. D3 (1531-215)
The equation $Z(x) = [ \int_0^\infty p(q) Z(qx) dq ]^2$ looks simple. It comes from physics and represents a fixed point in the stochastics of the turbulent energy cascade. Numerical simulations show that general solutions exist. To the best of my knowledge, a general analytic solution is still missing. This is the challenge for the audience.
Kontaktperson: Bent Ørsted