On Lévy's downcrossing theorem and various extensions
Séminaire de probabilités de Strasbourg, Volume 15  (1981), p. 191-205
@article{SPS_1981__15__191_0,
     author = {Maisonneuve, Bernard},
     title = {On L\'evy's downcrossing theorem and various extensions},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {15},
     year = {1981},
     pages = {191-205},
     zbl = {0466.60071},
     mrnumber = {622563},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1981__15__191_0}
}
Maisonneuve, Bernard. On Lévy's downcrossing theorem and various extensions. Séminaire de probabilités de Strasbourg, Volume 15 (1981) , pp. 191-205. http://www.numdam.org/item/SPS_1981__15__191_0/

[1]. Chung, K.L., Durrett, R.: Downcrossings and local time. Z. Wahrscheinlichkeitstheorie verw. Gebiete 35, 147-149 (1976). | MR 405605 | Zbl 0348.60111

[2]. Getoor, R.K.: Another limit theorem for local time. Z. Wahrscheinlichkeitstheorie verw. Gebiete 34, 1-10 (1976). | MR 397897 | Zbl 0347.60054

[3]. Ito, K. : Poisson point processes attached to Markov processes. Proc. Sixth Berkeley Sympos. Math. Statist. Probab. 3, 225-240 (1971). | MR 402949 | Zbl 0284.60051

[4]. Ito, K., Mckean, H.P.Jr. : Diffusion processes and their sample paths. 2nd ed. Springer-Verlag, Berlin, 1965. | Zbl 0127.09503

[5]. Maisonneuve, B.: Systemes Régénératifs. Astérisque 15, Société Mathématique de France, 1974. | MR 350879 | Zbl 0285.60049

[6]. Maisonneuve, B.: Changements de temps d'un processus markovien additif. Séminaire de Probabilités XI (Univ. Strasbourg), pp. 529-538. Lecture notes in Math. 581, Springer-Verlag, Berlin, 1977. | Numdam | MR 488326 | Zbl 0367.60091

[7]. Maisonneuve, B.: Temps local et dénombrements d'excursions. Z. Wahrscheinlichkeitstheorie verw. Gebiete 52, 109-113 (1980). | MR 568262 | Zbl 0416.60084

[8]. Williams, D.: On Lévy's downcrossing theorem. Z. Wahrscheinlichkeitstheorie verw. Gebiete 40, 157-8 (1977). | MR 464413 | Zbl 0372.60115

[9]. Williams, D.: Diffusions, Markov Processes and Martingales, vol. 1: Foundations. Wiley, New York, 1979. | MR 531031 | Zbl 0402.60003

[10]. Doob, D.L.: Stochastic Processes. Wiley, New York, 1953. | MR 58896 | Zbl 0053.26802