Superprocesses and projective limits of branching Markov process

Y. Le Jan

Annales de l'I.H.P. Probabilités et statistiques (1991)

  • Volume: 27, Issue: 1, page 91-106
  • ISSN: 0246-0203

How to cite

top

Le Jan, Y.. "Superprocesses and projective limits of branching Markov process." Annales de l'I.H.P. Probabilités et statistiques 27.1 (1991): 91-106. <http://eudml.org/doc/77401>.

@article{LeJan1991,
author = {Le Jan, Y.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Galton-Watson process; superprocess; branching Markov processes; semigroup},
language = {eng},
number = {1},
pages = {91-106},
publisher = {Gauthier-Villars},
title = {Superprocesses and projective limits of branching Markov process},
url = {http://eudml.org/doc/77401},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Le Jan, Y.
TI - Superprocesses and projective limits of branching Markov process
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1991
PB - Gauthier-Villars
VL - 27
IS - 1
SP - 91
EP - 106
LA - eng
KW - Galton-Watson process; superprocess; branching Markov processes; semigroup
UR - http://eudml.org/doc/77401
ER -

References

top
  1. [C] B. Chauvin, Product Martingales and Stoppings Lines for Branching Brownian Motion (to appear). Zbl0738.60079MR1112412
  2. [Da] D.A. Dawson, The Critical Measure Diffusion Process, Z. Wahrsch. Verw Gebiete, Vol. 40, pp. 125-245. Zbl0343.60001MR478374
  3. [D1] E.B. Dynkin, Representation for Functionals of Superprocesses by Multiple Stochastic Integrals, with Application to Self Intersection Local Times, Asterisque, N° 157-158, pp. 147-171. Zbl0659.60105MR976217
  4. [D2] E.B. Dynkin, Superprocesses and Their Additive Functionals, Trans. A.M.S., Vol. 314, pp. 255-282. Zbl0674.60070MR930086
  5. [D3] E.B. Dynkin, Three Classes of Infinite Dimensional Diffusions, J. Funct. Anal., Vol. 86, pp. 75-110. Zbl0683.60040MR1013934
  6. [D4] E.B. Dynkin, Branching Particle Systems and Superprocesses, Ann. Prob. (to appear). Zbl0732.60092MR1112411
  7. [F] P.J. Fitzsimmons, Construction and Regularity of Measure Valued Processes, Israël J. Math., Vol. 64, 1988, pp. 337-361. Zbl0673.60089MR995575
  8. [Fl] K. Fleischann, Critical behaviour of Some Measure Valued Processes, Math. Nachr., Vol. 135, pp. 131-147. Zbl0655.60071MR944225
  9. [H] T.E. Harris, The Theory of Branching Processes, Springer Verlag, Berlin, 1963. Zbl0117.13002MR163361
  10. [I] I. Iscoe, On the Supports of Measure Valued Critical Branching Brownian Motions, Ann. Prob., Vol. 16, pp. 200-221. Zbl0635.60094MR920265
  11. [LG1] J.F. Le Gall, Brownian Excursions, Trees and Measure Valued Branching Processes, Ann. Prob. (to appear). Zbl0753.60078MR1127710
  12. [LG2] J.F. Le Gall, Marches aléatoires, mouvement brownien et processus de branchement, Séminaire de Probabilités, XXIII ; Lect. Notes Math., Springer, Berlin, 1989. Zbl0741.60078MR1022916
  13. [LJ] Y. Le Jan, Limites projectives de processes de branchement markoviens, C. R. Acad. Sci. Paris, T. 308, Séries I, 1989. Zbl0705.60069MR1054256
  14. [N1] J. Neveu, Arbres et processus de Galton-Watson, Ann. Inst. H. Poincaré, Vol. 22, pp. 199-207. Zbl0601.60082MR850756
  15. [N2] J. Neveu, Erasing a Branching Tree. Supplement to Adv. Appl. Prob., 1986, pp. 101- 108. Zbl0613.60078MR868511
  16. [N3] J. Neveu, Mathematical Foundations of Probability Calculus, Holdenday, 1965. Zbl0137.11301MR198505
  17. [N-P] J. Neveu and J.W. Pitman, The Branching Process in a Brownian Excursion, Séminaire de Probabilités, XXIII ; Lect. Notes Math., Springer, Berlin, 1989. Zbl0741.60081MR1022915
  18. [P1] E.A. Perkins, A Space-Time Property of a Class of Measure-Valued Branching Diffusions, Trans. A.M.S., Vol. 305, pp. 743-795. Zbl0641.60060MR924777
  19. [P2] E.A. Perkins, The Hausdroff Measure of the Closed Support of Super Brownian Motion, Ann. Inst. H. Poincaré (Probabilités et Statistiques), Vol. 25, pp. 205-224. Zbl0679.60053MR1001027
  20. [R] S. Roelly-Coppoletta, A Criterion of Convergence of Measure Valued Process : Application to Measure Branching Processes, Stochastics, Vol. 17, pp. 43-65. Zbl0598.60088
  21. [W] S. Watanabe, A Limit Theorem of Branching Processes and Continuous State Branching Processes, J. Math. Kyoto Univ., Vol. 8, pp. 141-167. Zbl0159.46201MR237008
  22. [Z] V.M. Zolatarev, More Exact Statements of Several Theorems in the Theory of Branching Processes, Theor. Prob. Appl., Vol. 2, pp. 256-266. Zbl0089.34202MR96321

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.