- Class schedule: Sunday, May 4th, 2014 from 02:00 pm to 03:00 pm
- Location: Building 1, Room 4214
- Refreshments: Available @ 01:45 pm
Abstract
We present some models of random motions with finite velocity in Euclidean spaces.
In R1 we discuss the telegraph process and give the main distributional results. We consider also the case of the asymmetric telegraph process and use relativistic transformations for its probabilistic analysis.
Random motions in the plane with infinite and with a finite number of possible directions of motion are discussed.
We then consider random flights in Rn where the particle performing the random motion changes direction at Poisson paced times and takes spherically uniform orientation at each change of direction.
Finally, some fractional generalizations of these random motions are examined by applying the Mc. Bride theory of fractional powers of D’Alembert operators.