A counterexample for the Markov property of local time for diffusions on graphs
Séminaire de probabilités de Strasbourg, Volume 29  (1995), p. 260-265
@article{SPS_1995__29__260_0,
     author = {Eisenbaum, Nathalie and Kaspi, Haya},
     title = {A counterexample for the Markov property of local time for diffusions on graphs},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {29},
     year = {1995},
     pages = {260-265},
     zbl = {0849.60076},
     mrnumber = {1459467},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1995__29__260_0}
}
Eisenbaum, Nathalie; Kaspi, Haya. A counterexample for the Markov property of local time for diffusions on graphs. Séminaire de probabilités de Strasbourg, Volume 29 (1995) , pp. 260-265. http://www.numdam.org/item/SPS_1995__29__260_0/

[A] Atkinson, B. (1983). "On Dynkin's Markov property of random fields associated with symmetric processes". Stoch. Proc. Appl. 15, 193-201. | MR 702491 | Zbl 0526.60048

[D] Dynkin, E.B. (1984). "Local times and quantum fields". Sem. on Stoch. Proc., 1983, Birkhauser, 69-84. | MR 902412 | Zbl 0554.60058

[E] Eisenbaum, N. (1994). "Dynkin's isomorphism theorem and the Ray-Knight theorems". Probability Theory and Related Fields 99, No. 2, 321-335. | MR 1278888 | Zbl 0801.60064

[EK] Eisenbaum, N. and Kaspi, H. (1993). "A necessary and sufficient condition for the Markov property of the local time process". Ann. of Probab. 21, No. 3, 1591-1598. | MR 1235430 | Zbl 0788.60091

[K] Knight, F.B. (1963). "Random walks and a sojourn density process of Brownian motion". Trans. Amer. Math. Soc. 109, 56-86. | MR 154337 | Zbl 0119.14604

[L] Leuridan, C. "Problèmes liés aux temps locaux du mouvement Brownien: Estimation de norme Hp, théorèmes de Ray-Knight sur le tore, point le plus visité". Thèse de doctorat de mathématiques de l'Université Joseph Fourier.

[R] Ray, D.B. (1963). "Sojourn time of a diffusion process". Ill. J. Maths. 7, 615-630. | MR 156383 | Zbl 0118.13403

[S] Sheppard, P. (1985). "On the Ray-Knight property of local times". J. London Math. Soc. 31, 377-384. | MR 809960 | Zbl 0535.60070

[W] Walsh, J.B. (1978). "Excursions and local time". Temps Locaux, Asterisque 52-53, 159-192. | MR 509476