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Pré-Publication, Document De Travail Année : 2018

Strong law of large numbers for the capacity of the Wiener sausage in dimension four

Résumé

We prove a strong law of large numbers for the Newtonian capacity of a Wiener sausage in the critical dimension four, where a logarithmic correction appears in the scaling. The main step of the proof is to obtain precise asymptotics for the expected value of the capacity. This requires a delicate analysis of intersection probabilities between two independent Wiener sausages.
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Dates et versions

hal-01423781 , version 1 (31-12-2016)
hal-01423781 , version 2 (16-03-2018)

Identifiants

  • HAL Id : hal-01423781 , version 2

Citer

Amine Asselah, Bruno Schapira, Perla Sousi. Strong law of large numbers for the capacity of the Wiener sausage in dimension four. 2018. ⟨hal-01423781v2⟩
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