Transition probability estimates for subordinate random walks

Cygan Wojciech; Sebek Stjepan

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Transition probability estimates for subordinate random walks

机译：从属随机行走的过渡概率估计

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摘要

Let Sn be a symmetric simple random walk on the integer lattice Z(d). For a Bernstein function phi we consider a random walk S-n(phi) which is subordinated to Sn. Under a certain assumption on the behaviour of phi at zero we establish global estimates for the transition probabilities of the random walk S-n(phi). The main tools that we apply are a parabolic Harnack inequality and appropriate bounds for the transition kernel of the corresponding continuous time random walk.

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来源
《Mathematische Nachrichten》 |2021年第3期|共41页
作者
Cygan Wojciech; Sebek Stjepan;
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作者单位

Tech Univ Dresden Inst Math Stochast Zellescher Weg 12-14 D-01069 Dresden Germany;

Univ Zagreb Fac Elect Engn &

Comp Dept Appl Math Unska 3 Zagreb 10000 Croatia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Bernstein function; discrete subordination; parabolic Harnack inequality; random walk; scaling condition; transition probability estimate;

机译：伯尔尼斯坦函数;离散从属;抛物线哈纳克不等式;随机步行;缩放条件;过渡概率估计;

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Transition probability estimates for subordinate random walks

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