On stationary distributions for the KPP equation with branching noise

Paul Horridge; Roger Tribe

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 6, page 759-770
  • ISSN: 0246-0203

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Horridge, Paul, and Tribe, Roger. "On stationary distributions for the KPP equation with branching noise." Annales de l'I.H.P. Probabilités et statistiques 40.6 (2004): 759-770. <http://eudml.org/doc/77832>.

@article{Horridge2004,
author = {Horridge, Paul, Tribe, Roger},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {nonnegative solution of stochastic partial diffrerntial equation; space-time white noise; stationary distribution},
language = {eng},
number = {6},
pages = {759-770},
publisher = {Elsevier},
title = {On stationary distributions for the KPP equation with branching noise},
url = {http://eudml.org/doc/77832},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Horridge, Paul
AU - Tribe, Roger
TI - On stationary distributions for the KPP equation with branching noise
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2004
PB - Elsevier
VL - 40
IS - 6
SP - 759
EP - 770
LA - eng
KW - nonnegative solution of stochastic partial diffrerntial equation; space-time white noise; stationary distribution
UR - http://eudml.org/doc/77832
ER -

References

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  1. [1] S. Athreya, R. Tribe, Uniqueness for a class of one-dimensional stochastic PDEs using moment duality, Ann. Probab.28 (2002) 1711-1734. Zbl1044.60048MR1813840
  2. [2] C. Donati-Martin, E. Pardoux, White noise driven SPDEs with reflection, Prob. Theory Related Fields95 (1993) 1-24. Zbl0794.60059MR1207304
  3. [3] R. Durrett, Ten lectures on particle systems, in: Lecture Notes in Mathematics, vol. 1608, Springer, Berlin, 1993, pp. 97-201. Zbl0840.60088MR1383122
  4. [4] S.N. Ethier, T.G. Kurtz, Markov Processes, Characterization and Convergence, Wiley, 1986. Zbl0592.60049MR838085
  5. [5] T.E. Harris, On a class of set valued Markov processes, Ann. Probab.4 (1976) 175-194. Zbl0357.60049MR400468
  6. [6] P. Horridge, Some methods for proving uniqueness of stationary distributions for stochastic PDEs, Warwick University, PhD Thesis, 2001. 
  7. [7] C. Mueller, R. Tribe, A phase transition for a stochastic PDE related to the contact process, Probab. Theory Related Fields100 (1994) 131-156. Zbl0809.60072MR1296425
  8. [8] C. Mueller, R. Tribe, Stochastic p.d.e.'s arising from the long range contact and long range voter processes, Probab. Theory Related Fields102 (1995) 519-545. Zbl0827.60050MR1346264
  9. [9] E. Perkins, Dawson–Watanabe superprocesses and measure valued diffusions, in: Lecture Notes in Mathematics, vol. 1781, Springer, Berlin, 2002, pp. 125-324. Zbl1020.60075MR1915445
  10. [10] T. Shiga, Two contrasting properties of solutions for one-dimensional stochastic differential equations, Canadian J. Math.46 (1993) 415-437. Zbl0801.60050MR1271224
  11. [11] R. Tribe, A travelling wave solution to the Kolmogorov equation with noise, Stochastics Stochastics Rep.56 (1996) 317-340. Zbl1002.60555MR1396765

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