• Corpus ID: 119176634

Variable Speed Branching Brownian Motion 1. Extremal Processes in the Weak Correlation Regime

  title={Variable Speed Branching Brownian Motion 1. Extremal Processes in the Weak Correlation Regime},
  author={Anton Bovier and Lisa Hartung},
  journal={arXiv: Probability},
We prove the convergence of the extremal processes for variable speed branching Brownian motions where the "speed functions", that describe the time- inhomogeneous variance, lie strictly below their concave hull and satisfy a certain weak regularity condition. These limiting objects are universal in the sense that they only depend on the slope of the speed function at 0 and the nal time t. The proof is based on previous results for two-speed BBM obtained in Bovier and Hartung (2014) and uses… 

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