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Results tagged with mp.mathematical-physics
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user 75422
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
1
vote
An extremal type problem on segments
Let $x<1$.
Then $\Psi(x)=\max_{f\in L^2[0,x],||f||_2\le1}\Phi_x(f)=\Phi_x(f_x)$ where $\Phi_x(f):=\int_0^x f(t)L_x f(t)\ dt$ with $L_xf(t):=\int_0^x f(s)\ln\frac1{|t-s|}\ ds$, and the maximizer (whi …
- 3,085
4
votes
1
answer
231
views
Renyi's conditional probability fields and turbulence
I've come to the conclusion that what is universal, in the statistics of high Reynolds number turbulence of viscous incompressible fluids, could be modelled exactly only with Alfred Renyi's concept of …
- 3,085
4
votes
What's the probability distribution of a deterministic signal or how to marginalize dynamica...
On $[0,1]^{[0,1]}$ there is a prior distribution (even a "proper" one) that corresponds to the idea of "totally unknown": the product uniform measure. But you cannot do any meaningful Bayesian analysi …
- 3,085
2
votes
Accepted
What's the probability distribution of a deterministic signal or how to marginalize dynamica...
Classical Bayesian analysis rests on first chosing a prior measure $m$, either finite (proper) or infinite (improper), then deriving the posterior probability of an event $A$ conditional on observed $ …
- 3,085