Skip to main navigation Skip to search Skip to main content

Where does a random process hit a fractal barrier?

Itai Benjamini, Alexander Shamov

Research output: Contribution to journalArticlepeer-review

Abstract

Given a Brownian path β(t) on R, starting at 1, a.s. there is a singular time set Tβ, such that the first hitting time of β by an independent Brownian motion, starting at 0, is in Tβ with probability one. A couple of problems regarding hitting measure for random processes are presented.

Original languageEnglish
Article number25
Number of pages5
JournalElectronic Communications in Probability
Volume23
DOIs
StatePublished - 2018

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint

Dive into the research topics of 'Where does a random process hit a fractal barrier?'. Together they form a unique fingerprint.

Cite this