Work

Long-term behaviour of refracted Lévy processes in a half-line

Year: 2026

Type: preprint

Abstract: We study the long-term behaviour of refracted Lévy processes within a half-line, with killing on exiting the domain and at state-dependent rate inside it. We identify the decay rate of the killed semigroup together with the associated invariant function and measure, and we obtain convergence at exponential rate to a Yaglom limit. The proofs make use of R-theory and Lyapunov function techniques.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.29326

Authors: Samanta, Ramkrishna Jyoti, Watson, Alexander R.

Institution: University College London

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Engineering and Physical Sciences Research Council, Division of Mathematical Sciences

Award: Additional Funding for Mathematical Sciences: Heilbronn Institute for Mathematical Research

OpenAlex ID: W7214286289

Cites: 1

Cited by:

Related to: 10