Spectral representation of one-dimensional Liouville Brownian motion and Liouville Brownian excursion
DOI10.4171/JFG/138zbMATH Open1547.60069MaRDI QIDQ6561918
Publication date: 25 June 2024
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
spectral theoryLiouville Brownian motionKrein's correspondencegeneralized linear diffusionsLiouville Brownian excursion
Geometric probability and stochastic geometry (60D05) Fractional processes, including fractional Brownian motion (60G22) Brownian motion (60J65) Fractals (28A80) Spectral theory of functional-differential operators (34K08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Liouville Brownian motion
- Continuity and estimates of the Liouville heat kernel with applications to spectral dimensions
- Gaussian multiplicative chaos and applications: a review
- Spectral dimension of Liouville quantum gravity
- Diffusion in planar Liouville quantum gravity
- Liouville quantum gravity and KPZ
- Spectral gaps and exponential integrability of hitting times for linear diffusions
- Excursion measure away from an exit boundary of one-dimensional diffusion processes
- On the excursion theory for linear diffusions
- On the asymptotic behaviors of transition probability densities of one- dimensional diffusion processes
- Log-infinitely divisible multifractal processes
- Liouville Brownian motion and thick points of the Gaussian free field
- Multifractal products of cylindrical pulses
- Time change approach to generalized excursion measures, and its application to limit theorems
- On the heat kernel and the Dirichlet form of Liouville Brownian motion
- An elementary approach to Gaussian multiplicative chaos
- Hitting time distributions of single points for 1-dimensional generalized diffusion processes
- Transition density asymptotics for some diffusion processes with multi-fractal structures
This page was built for publication: Spectral representation of one-dimensional Liouville Brownian motion and Liouville Brownian excursion
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6561918)