Leonid V. Bogachev

most citedAnalysis of the archetypal functional equation in the non-critical case

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2014★ 2 cited

Analysis of the archetypal functional equation in the non-critical case

Leonid V. Bogachev, Gregory Derfel, Stanislav A. Molchanov

We study the archetypal functional equation of the form $y (x) = \iint_{R^{2}} y (a (x - b)) μ (d a, d b)$ ( $x \in R$ ), where $μ$ is a probability measure on…

math.PR2010

Occupation time distributions for the telegraph process

Leonid Bogachev, Nikita Ratanov

For the one-dimensional telegraph process, we obtain explicit distribution of the occupation time of the positive half-line. The long-term limiting distribution is then derived whe…