Achim Klenke
Preprints and Publications
- Finite system scheme for infinite rate mutually catalytic branching with infinite branching rate (to appear in Annals of Applied Probability)
With Leif Döring and Leonid Mytnik (2015)
arXiv:1510.01154
- Infinite Rate Mutually Catalytic Branching in Infinitely Many Colonies: The Longtime Behaviour.
(With Leonid Mytnik),
The Annals of Probability
Vol 40(1), 103-129, (2012).
PDF
- Infinite Rate Mutually Catalytic Branching in Infinitely Many Colonies. Construction, Characterization and Convergence.
(With Leonid Mytnik), Probability Theory and Related Fields, Vol 154(3), 533-584, (2012).
PDF
The original publication is available at
www.springerlink.com
- Infinite Rate Mutually Catalytic Branching
(With Leonid Mytnik),
The Annals of Probability
Vol 38(4), 1690-1716, (2010).
PDF
- Stochastic ordering of classical discrete distributions.
(With Lutz Mattner), Advances in Applied Probability, Vol 42(2), 392-410, (2010).
PDF
- A Trotter Type Approach to Infinite Rate Mutually Catalytic Branching.
(With Mario Oeler), The Annals of Probability 2010, Vol 38(2), 479-497.
PDF
- Multiple intersection exponents of planar Brownian Motion
(With Peter Mörters), Journal of Statistical Physics, Vol 136(2), 373-397, 2009.
PDF
The original publication is available at
www.springerlink.com
-
Pathwise convergence of a
rescaled super-Brownian catalyst reactant process
With
Klaus Fleischmann
and
Jie Xiong
Journal of Theoretical Probability, Vol 19(3), 557-588, (2006),
PDF
- The
multifractal spectrum of Brownian intersection local times
(With Peter Mörters), Annals of Probability, Vol 33(4), (2005), 1255–1301,
PDF
- Rescaled Interacting Diffusions converge to Super Brownian Motion
With Ted Cox,
Annals of Applied Probability Vol 13(2), 501-514, (2003),
PDF
- Catalytic Branching and the Brownian Snake
Stochastic Processes and their Applications, Vol 103(2), 2003 , pp. 211-235, PDF
- Interacting diffusions in a random medium: comparison and
longtime behavior
(With
Andreas Greven und
Anton Wakolbinger)
Stochastic Processes and Appl., Vol. 98 (2002), 23-41, PDF
- The Critical Attractive Random Polymer in Dimension One
With
Remco van der Hofstad
and
Wolfgang König
Journal of Statistical Physics, Volume 106, Numbers 3-4, (2002),
PDF
The original publication is available at
www.springerlink.com
- Diffusive Clustering of Interacting Brownian Motions on
Z2
Stochastic Processes and Applications (2000), Vol. 89, 261-268,
PDF
-
Absolute Continuity of Catalytic Measure-Valued Branching
Processes
Stochastic Processes and Applications (2000), Vol. 84, 227-237,
PDF
- Interacting Fisher-Wright Diffusions in a Catalytic
Medium
With
Andreas Greven und
Anton Wakolbinger
Probab. Th. Rel. Fields (2001), Vol 120(1), 85-117, PDF
- Self-attractive random polymers
With
Remco van der Hofstad,
Annals of Applied Probability, 2001, Vol. 11(4), 1079-1115, PDF
- The Biodiversity of Catalytic Super-Brownian Motion
With
Klaus Fleischmann, Annals of Applied Probability, 2000, Vol. 10(4), 1121-1136,
PDF
- Recurrence and Ergodicity of Interacting Particle Systems
With Ted Cox,
Probability Theory and Related Fields (2000), Vol. 116, 239-255.PDF
-
Convergence to Equilibrium and Linear Systems Duality
With Ted Cox
and
Ed Perkins
Stochastic Models, A Conference in Honor of Don Dawson (L. Gorostiza and G. Ivanoff, eds.), Conference Proceedings, vol. 26,
Canadian Mathematical Society, 1999, 41-66. PDF
- A Review on Spatial Catalytic Branching
Stochastic Models, A Conference in Honor of Don Dawson (L. Gorostiza and G. Ivanoff, eds.), Conference Proceedings, vol. 26,
Canadian Mathematical Society, 1999, 245-264, PDF
- The longtime behavior of branching random walk in a
catalytic medium.
With
Andreas Greven and
Anton Wakolbinger)
Electronic Journal of Probability (1999), Vol. 4, Paper 12
- Clustering and invariant measures for spatial branching
models with infinite variance.
Annals of Probability 1998, Vol 26(3), pp. 1057-1087, PDF
- Smooth density field of catalytic super-Brownian motion
With Klaus Fleischmann, Annals of Applied Probability, 1999, Vol. 9(2), 298-318,
PDF
- Diffusive Clustering (Doctoral thesis) (1996),
PDF
- Multiple Scale Analysis of Clusters
in Spatial Branching Models
Annals of Probability 1997, Vol 25(4),
pp. 1670-1711, PDF
- Different Clustering Regimes in Systems of Hierarchically Interacting Diffusions
Annals of Probability 1996, Vol 24(2), pp.660-697, PDF
- Wechselwirkende Diffusionen auf der Hierarchischen Gruppe, Diploma thesis, German (1993)