Open Access
| Issue |
ESAIM: PS
Volume 29, 2025
|
|
|---|---|---|
| Page(s) | 472 - 493 | |
| DOI | https://doi.org/10.1051/ps/2025014 | |
| Published online | 23 December 2025 | |
- H. Kesten, An absorption problem for several Brownian motions. Seminar on Stochastic Processes 1991. Progr. Probab. 29 (1992) 59–72. [Google Scholar]
- W.V. Li and Q.-M. Shao, Capture time of Brownian pursuits. Probab. Theory Related Fields 121 (2001) 30–48. [Google Scholar]
- S. Redner and P.L. Krapivsky, Capture of the lamb: diffusing predators seeking a diffusing prey. Am. J. Phys. 67 (1999) 1277–1283. [Google Scholar]
- F. Aurzada and T. Simon, Persistence probabilities and exponents. Lévy Matters V. Lecture Notes in Mathematics, Vol. 2149. Springer, Cham (2015) 183–224. [Google Scholar]
- A.J. Bray, S.N. Majumdar and G. Schehr, Persistence and first-passage properties in non-equilibrium systems. Adv. Phys. 62 (2013) 225–361. [Google Scholar]
- I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series, and Products. Elsevier/Academic Press, Amsterdam (2007). [Google Scholar]
- Z. Shi, On transient Bessel processes and planar Brownian motion reflected at their future infima. Stochastic Process. Appl. 60 (1995) 87–102. [Google Scholar]
- M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications Inc., New York (1992). [Google Scholar]
- C. Profeta, Persistence and exit times for some additive functionals of skew Bessel processes. J. Theoret. Probab. 34 (2021) 363–390. [Google Scholar]
- C. Profeta and T. Simon, Persistence of integrated stable processes. Probab. Theory Relat. Fields. 162 (2015) 463–485. [Google Scholar]
- D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, 3rd edn. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Vol. 293. Springer-Verlag, Berlin (1999). [Google Scholar]
- N.N. Lebedev, Special Functions and their Applications, revised edn., translated from the Russian and edited by R.A. Silverman. Dover Publications, Inc., New York (1972). [Google Scholar]
- N.H. Bingham, C.M. Goldie and. J.L. Teugels, Regular Variation. Encyclopedia of Mathematics and its Applications, Vol. 27. Cambridge University Press, Cambridge (1989). [Google Scholar]
- Z. Shi, How long does it take a transient Bessel process to reach its future infimum? Séminaire de Probabilités, XXX. Lecture Notes in Mathematics, Vol. 1626. Springer, Berlin (1996) 207–217. [Google Scholar]
- R.D. DeBlassie, Stopping times of Bessel processes. Ann. Probab. 15 (1987) 1044–1051. [Google Scholar]
- J.L. Pedersen, Best Bounds in Doob’s Maximal Inequality for Bessel Processes. J. Multivariate Anal. 75 (2000) 36–46. [Google Scholar]
- Y. Hariya, Some asymptotic formulae for Bessel process. Markov Process. Related Fields 21 (2015) 293–316. [Google Scholar]
- N. Eisenbaum, Exponential inequalities for Bessel processes. Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics, Vol. 1729. Springer, Berlin (2000) 146–150. [Google Scholar]
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