1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Pairs of subsets of spheres and Cartesian products thereof with the same distribution of distance
Ricardo García-Pelayo
We prove the following three statements: 1) Let be a partition of the spherical surface into two measurable sets. Let and be their measure…
Computation of the multi-chord distribution of convex and concave polygons
Ricardo García-Pelayo
Analytical expressions for the distribution of the length of chords corresponding to the affine invariant measure on the set of chords are given for convex polygons. These analytic…