Jan Swart - Preprints

My Doctoral Thesis

My Habilitation Thesis arXiv:math.PR/0702095

Preprints

22.

A. Sturm and J.M. Swart (2011): Subcritical contact processes seen from a typical infected site. ArXiv:1110.4777v1.

21.

E. Schertzer, R. Sun and J.M. Swart (2010): Stochastic flows in the Brownian web and net. ArXiv:1011.389v1.

20.

J.M. Swart (2010): Intertwining of birth-and-death processes (Kybernetika 47 No. 1 (2011) 1-14). ArXiv:1004.5515. Here is the first version

19.

J.M. Swart and K. Vrbenský (2009): Numerical analysis of the rebellious voter model (J. Stat. Phys. 140(5) (2010) 873-899) ("The final publication is available at www.springerlink.com") ArXiv:0911.1266v3. Here are a black and white version of the manuscript for printing and the raw data and variables plotted in the figures. Here are the second version, its b/w version and data, as well as the first version, its b/w version and data.

18.

S.R. Athreya and J.M. Swart (2008): Survival of contact processes on the hierarchical group. (Prob. Theory Relat. Fields 147 No. 3 (2010), 529-563), arXiv:0808.3732v3. Here are the second version and the original preprint.

17.

E. Schertzer, R. Sun and J.M. Swart (2008): Special points of the Brownian net. (Electron. J. Probab. 14 (2009) paper No. 30, 805-864) arXiv:0806.2326v2. Here is the original preprint

16.

A. Sturm and J.M. Swart (2007): Tightness of voter model interfaces. (Electron. Commun. Probab. 13 (2008) paper No. 16, 165-174) arXiv:0706.4405v2. The final version corrects a serious error in Lemma 3 of the original preprint.

15.

A. Sturm and J.M. Swart (2007): Voter models with heterozygosity selection. (Ann. Appl. Probab. 18 No. 1 (2008), 59-99) arXiv:math.PR/0701555v2. Here are the original preprint and the final version.

14.

D.A. Dawson, A. Greven, F. den Hollander, R. Sun, and J.M. Swart (2006): The renormalization transformation for two-type branching models. (Ann. Inst. H. Poincaré (B) Probab. Statist. 44 No. 6 (2008), 1038-1077.) arXiv:math/0610645. (Here is the preprint.)

13.

R. Sun and J.M. Swart (2006): The Brownian net. (Ann. Probab. 36 No. 3 (2008), 1153-1208.) arXiv:math.PR/0610625. Here are the third, second, and first version of this preprint, and an addendum to the first version.

12.

J.M. Swart (2006): Duals and thinnings of some relatives of the contact process. (18 pages) arXiv:math.PR/0604335. A shortened version of this preprint has been published as Pages 203-214 in: Prague Stochastics 2006, M. Hušková and M. Janžura (eds.), Matfyzpress, Prague, 2006.

11.

J.M. Swart (2008): The contact process seen from a typical infected site. (J. Theoret. Probab. 22(3) (2009), 711-740) arXiv:math.PR/0507578v5. Here are the fourth, third, second and first version of this preprint, as well as an addendum to the first version. In the third version, the proof of Prop. 4.4 has been significantly shortened, correcting an error in formula (A.13) of the second version. The first version differs radically from the second and third versions. Chapter 4 of my habilitation thesis is more or less identical to the first version, including the addendum.

10.

K. Fleischmann and J.M. Swart (2005): Renormalization analysis of catalytic Wright-Fisher diffusions. (Electronic J. Probab. 11 (2006) paper no. 25, 585-654) WIAS Preprint No. 1041, (2005) arXiv:math.PR/0506311

9.

S.R. Athreya and J.M. Swart (2004): Branching-coalescing particle systems (Prob. Theory Relat. Fields. 131 No. 3 (2005) 376-414) Theorem 7 in this paper contains an error. Here is a Correction which has also been published on the ArXiv. A note pointing out the error is also published in Prob. Theory Relat. Fields. (Here is the original preprint of the paper.)

8.

J.M. Swart (2003): Uniqueness for isotropic diffusions with a linear drift (Prob. Theory Relat. Fields 128 (2004) 517-524)

7.

K. Fleischmann and J.M. Swart (2002): Trimmed trees and embedded particle systems (Ann. Probab. 32 No. 3A (2004) 2179-2221) (WIAS Berlin, Preprint No. 793, 2002 arXiv:math.PR/0410113)

6.

K. Fleischmann and J. M. Swart (2002): Extinction versus explosion in a supercritical super-Wright-Fisher diffusion (WIAS Berlin, Preprint No. 752, 2002.) (Published as `Extinction versus exponential growth in a supercritical super-Wright-Fisher diffusion' in Stochastic Processes Appl. 106:1 (2003) 141-165 Article in ScienceDirect)

5.

J. M. Swart (2001): A counterexample concerning pathwise uniqueness of 2-dimensional SDE's (Published as "A 2-Dimensional SDE Whose Solutions are Not Unique" in Electron. Commun. Probab. 6 (2001), paper no. 6, 67-71)

4.

J. M. Swart (2000): Pathwise uniqueness for a SDE with non-Lipschitz coefficients (Stochastic Processes Appl. 98 (2002) 131-149 Article in ScienceDirect) Remark: The results in this paper have been improved by D. DeBlassie in Uniqueness for diffusions degenerating at the boundary of a smooth bounded set Ann. Probab. 32(4) (2004) 3167-3190

3.

J. M. Swart (2000): Clustering of Linearly Interacting Diffusions and Universality of their Long-Time Limit Distribution (Prob. Theory Relat. Fields 118 (2000) 574-594)

2.

F. den Hollander and J. M. Swart (1998): Renormalization of hierarchically interacting isotropic diffusions (J. Stat. Phys. 93 (1998) 243-291)

1.

J.M. Swart (1996): A conditional product measure theorem. (Stat. Probab. Lett. 28 (1996) 131-135). Note: The results in this paper appear to follow from Theorem 5 in R.M. Shortt: Universally measurable spaces: an invariance theorem and diverse characterizations. Fundam. Math. 121, 169-176 (1984).

Coauthors

Don Dawson

Klaus Fleischmann (emeritus, formerly WIAS Berlin )

Andreas Greven

Frank den Hollander

Emmanuel Schertzer

Anja Sturm

Rongfeng Sun

Karel Vrbenský