Moving randomly amid scattered obstacles

Stochastics

Volumn 82, Issue 2, 2010, Pages 201-229

  Beghin, Luisa ^a   Orsingher, Enzo ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Bessel functions; Beta integrals; Motions with infinite directions; Poisson homogeneous process; Uniform circular distribution

Indexed keywords

EID: 77951707966     PISSN: 17442508     EISSN: 17442516     Source Type: Journal    
DOI: 10.1080/17442500903359163     Document Type: Article

References (11)

1. A. Di Crescenzo, On random motions with velocities alternating at Erlang-distributed random times, Adv. Appl. Probab. 33(3) (2001), pp. 690-701.
2. A. Di Crescenzo, Exact transient analysis of a planar motion with three directions, Stoch. Stoch. Rep. 72(3-4) (2002), pp. 175-189.
3. I.S. Gradshteyn and I.M. Rhyzik, Tables of Integrals, Series and Products, A. Jeffrey, ed., Academic Press, London, 1994.
4. A. Kolesnik and E. Orsingher, A planar random motion with a infinite number of directions controlled by the damped wave equation, J. Appl. Probab. 42(4) (2005), pp. 1168-1182.
5. d with n directions, ESAIM Probab. Stat. 10 (2006), pp. 277-316.
6. S. Leorato and E. Orsingher, Bose-Einstein-type statistics, order statistics and planar random motions with three directions, Adv. Appl. Probab. 36(3) (2004), pp. 937-970.
7. E. Orsingher and A. De Gregorio, Random flights in higher spaces, J. Theor. Probab. 20 (2007), pp. 769-806.
8. A.A. Pogorui and R.M. Rodrìguez-Dagnino, One dimensional semi-Markov evolutions with general Erlang sojourn times, Random Oper. Stoch. Equ. 13(4) (2005), pp. 399-405.
9. N. Ratanov, Telegraph evolutions in inhomogeneous media, Markov Process. Relat. Fields 5(1) (1999), pp. 53-68.
10. n, Random Oper. Stoch. Equ. 9(2) (2001), pp. 139-160.
11. W. Stadje, The exact probability distribution of a two-dimensional random walk, J. Stat. Phys. 46 (1987), pp. 207-216.