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COALESCENCE IN A RANDOM BACKGROUND

- N. Barton, A. Etheridge, A. Sturm
- Mathematics
- 1 May 2004

We consider a single genetic locus which carries two alleles, labelled P and Q. This locus experiences selection and mutation. It is linked to a second neutral locus with recombination rate r . If r… Expand

On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients

- L. Mytnik, E. Perkins, A. Sturm
- Physics
- 26 July 2005

(1) Research supported in part by the Israel Science Foundation (grant No. 116/01 - 10.0).
(2) Research supported in part by an NSERC Research grant.
(3) Research supported in part by an NSERC… Expand

On Convergence of Population Processes in Random Environments to the Stochastic Heat Equation with Colored Noise

- A. Sturm
- Mathematics
- 4 November 2003

We consider the stochastic heat equation with a multiplicative colored noise term on the real space for dimensions greater or equal to 1. First, we prove convergence of a branching particle system in… Expand

Voter models with heterozygosity selection

This paper studies variations of the usual voter model that favor types that are locally less common. Such models are dual to certain systems of branching annihilating random walks that are parity… Expand

New results on pathwise uniqueness for the heat equation with colored noise

- Thomas Rippl, A. Sturm
- Mathematics
- 18 December 2012

We consider strong uniqueness and thus also existence of strong solutions for the stochastic heat equation with a multiplicative colored noise term. Here, the noise is white in time and colored in… Expand

The Algebraic Approach to Duality: An Introduction

- A. Sturm, J. Swart, F. Vollering
- Mathematics
- 20 February 2018

This survey article gives an elementary introduction to the algebraic approach to Markov process duality, as opposed to the pathwise approach. In the algebraic approach, a Markov generator is written… Expand

TIGHTNESS OF VOTER MODEL INTERFACES

Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying states that are… Expand

The spatial $\Lambda$-coalescent

This paper extends the notion of the $\Lambda$-coalescent of Pitman (1999) to the spatial setting. The partition elements of the spatial $\Lambda$-coalescent migrate in a (finite) geographical space… Expand

Science and technology in the region: The output of regional science and technology, its strengths and its leading institutions

- N. Altvater-Mackensen, Gregor Balicki,
+20 authors Kerstin Werner - EconomicsScientometrics
- 9 May 2005

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