Details

Autor(en) / Beteiligte

• Cygan, Wojciech
• Sandrić, Nikola
• Šebek, Stjepan

Titel

Central limit theorem for the capacity of the range of stable random walks

Ist Teil von

• Stochastics (Abingdon, Eng. : 2005), 2022-02, Vol.94 (2), p.226-247

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2022

Quelle

Taylor & Francis Journals

Beschreibungen/Notizen

• In this article, we establish a central limit theorem for the capacity of the range process for a class of d-dimensional symmetric α-stable random walks with the index satisfying . Our approach is based on controlling the limit behaviour of the variance of the capacity of the range process which then allows us to apply the Lindeberg-Feller theorem.