Planar random motions at finite velocity

Location: Zoom

Title: Planar random motions at finite velocity

About event

The Department of Mathematical and Physical Sciences from the School of Computing, Engineering and Mathematical Sciences (SCEMS) is hosting a seminar as part of their Statistics and Stochastic Seminar Colloquium Series. This event is in collaboration with PVSeminar.

In our talk, we examine various models of motion in the plane with a finite or an infinite number of directions, The case of finite directions includes cyclic motions and clockwise or counterclockwise motions when from a direction d_k one can pass either to direction d_(k+1) or d_(k-1) with equal or different probabilities. Particular attention is paid to the planar motion with orthogonal directions. The switches of directions are governed by a homogeneous or non-homogeneous Poisson process, because in this case explicit results can be obtained. Planar motions with an infinite number of directions are performed at velocity c with changes occurring at Poisson-paced times and each new direction is taken with a uniformly distributed angle. The minimal case (three directions) is also considered and its connection with higher-order Bessel functions is presented.

Some of the results are published in: Fabrizio Cinque and Enzo Orsingher, Stochastic Dynamics of Generalized Planar Random Motions with Orthogonal directions, J. Theor. Probab. 2023, 36(4), pp. 2229-2261, and in the references of this paper.

A PDF file with the talk slides might become available for downloading from our seminar's Webpage at https://probvic.wordpress.com/pvseminar/ prior to the talk.

(if the 'Book now' link doesn't work when you click it -- please copy & paste it into the address bar in your browser). Password: 427391 (if needed)