Local behaviour of local times of super-brownian motion

Mathieu Merle

Annales de l'I.H.P. Probabilités et statistiques (2006)

  • Volume: 42, Issue: 4, page 491-520
  • ISSN: 0246-0203

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Merle, Mathieu. "Local behaviour of local times of super-brownian motion." Annales de l'I.H.P. Probabilités et statistiques 42.4 (2006): 491-520. <http://eudml.org/doc/77904>.

@article{Merle2006,
author = {Merle, Mathieu},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {occupation measure},
language = {eng},
number = {4},
pages = {491-520},
publisher = {Elsevier},
title = {Local behaviour of local times of super-brownian motion},
url = {http://eudml.org/doc/77904},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Merle, Mathieu
TI - Local behaviour of local times of super-brownian motion
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2006
PB - Elsevier
VL - 42
IS - 4
SP - 491
EP - 520
LA - eng
KW - occupation measure
UR - http://eudml.org/doc/77904
ER -

References

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  1. [1] R.J. Adler, M. Lewin, Local time and Tanaka formulae for super-Brownian motion and super stable processes, Stochastic Process. Appl.41 (1992) 45-67. Zbl0754.60086MR1162718
  2. [2] M.T. Barlow, S.N. Evans, E.A. Perkins, Collision local times and measure-valued processes, Canad. J. Math.43 (5) (1991) 897-938. Zbl0765.60044MR1138572
  3. [3] D. Dawson, I. Iscoe, E.A. Perkins, Super-Brownian motion: path properties and hitting probabilities, Probab. Theory Related Fields83 (1989) 135-205. Zbl0692.60063MR1012498
  4. [4] S.M. Krone, Local times for superdiffusions, Ann. Probab.21 (b) (1993) 1599-1623. Zbl0778.60056MR1235431
  5. [5] T.Y. Lee, Asymptotic results for super-Brownian motions and semilinear differential equations, Ann. Probab.29 (2001) 1047-1060. Zbl1018.60028MR1872735
  6. [6] J.F. Le Gall, Spatial Branching Processes, Random Snakes and Partial Differential Equations, Lectures Math. ETH Zürich, Birkhäuser, 1999. Zbl0938.60003MR1714707
  7. [7] E.A. Perkins, Dawson–Watanabe superprocesses and measure-valued diffusions, in: Lectures on Probability Theory and Statistics, Ecole d'été de Probabilités de Saint-Flour XXIX, Lecture Notes in Math., vol. 1781, Springer, 1999. Zbl1020.60075
  8. [8] D. Revuz, M. Yor, Continuous Martingales and Brownian Motion, Springer, Berlin, 1994. Zbl0804.60001MR1303781
  9. [9] S. Sugitani, Some properties for the measure-valued branching diffusion processes, J. Math. Soc. Japan41 (3) (1989) 437-462. Zbl0684.60049MR999507
  10. [10] D.W. Stroock, S.R.S. Varadhan, G.C. Papanicolaou, Martingale approach to some limit theorems, in: Statistical Mechanics and Dynamical Systems, Duke Univ. Math. Ser., vol. III, Duke Univ., Durham, NC, 1977. Zbl0387.60067MR461684
  11. [11] M. Yor, Le drap brownien comme limite en loi de temps locaux linéaires, in: Séminaire de Probabilités, Lecture Notes in Math., vol. 986, Springer, 1983. Zbl0514.60075MR770400

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