Rescaled voter models converge to super-Brownian motion

By J. Cox, R. Durrett, Edwin A. Perkins. 2000

97 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/ce2ef915cdea1de738bf525eb9d12aee7d60c400

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. École d'été de probabilités de Saint-Flour
2. Jean Picard
3. Gordon Slade

In Mathematical Physics

1. École d'été de probabilités de Saint-Flour
2. Jean Picard
3. Gordon Slade

In Statistics and Probability

1. École d'été de probabilités de Saint-Flour
2. Jean Picard
3. Alexandre B. Tsybakov
4. Shahar Mendelson
5. Gábor Lugosi
6. Alessandro Rinaldo
7. Francis R. Bach
8. Vladimir Koltchinskii

Citations in the corpus

• Recent progress in coalescent theory (2009, unknown): “It turns out that this model is in duality with coalescing random walks on the one hand, and on the other hand, that there exists an invariance principle for this model (due to Cox, Durrett and Perkins [54]).”
• The Lace Expansion and its Applications (2006, background): “In addition, SBM is the scaling limit of the voter model in dimensions d ≥ 2 [37, 58, 59], but the voter model will not be discussed further here.”