2019/11/13 by Jesús Igor Heberto Barahona Torres, Torres, Jesus Igor Heberto Barahona, Paulo Cesar Manrique-Mirón +3
Mathematics · Biochemistry, Genetics and Molecular Biology · #Stochastic processes and statistical mechanics #Point processes and geometric inequalities #Diffusion and Search Dynamics
paper · pdf · doi:10.48550/arxiv.1911.05576
Motivated by models in engineering and also biology we determine in closed form the probability density function of the angle shaped by two random chords in a fixed disc. Our main result focus on the event in which the intersection locates inside the fixed disc and establishes a sine law.