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math-ph2022
New techniques to solve the 1-dimensional random flight
Ricardo García-Pelayo
We present here two new techniques to solve the one-dimensional random flight. The first one is an expansion in the number of collisions. The second one is the obtention of a Fouri…
math-ph2022
Fourier series for the three-dimensional random flight
Ricardo García-Pelayo
The probability density function of the random flight with isotropic initial conditions is obtained by an expansion in the number of collisions and the in the spatial harmonics of…