Boundary traces of shift-invariant diffusions in half-plane
DOI10.1214/22-AIHP1250MaRDI QIDQ2686622
Publication date: 28 February 2023
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.00072
diffusionLévy processelliptic equationDirichlet-to-Neumann operatornon-local operatorKrein's stringtrace process
Processes with independent increments; Lévy processes (60G51) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Diffusion processes (60J60) Integro-differential operators (47G20) Fractional partial differential equations (35R11) Jump processes on general state spaces (60J76)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The inverse spectral problem for indefinite strings
- Meromorphic Lévy processes and their fluctuation identities
- Brownian motion martingales and stochastic calculus
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- Generalized second order differential operators and their lateral conditions
- Local time and stochastic area integrals
- Periodic extensions of two-dimensional Brownian motion on the half plane. I
- A stochastic approach to quasi-everywhere boundary convergence of harmonic functions
- Periodic extensions of two-dimensional Brownian motion on the half plane. II
- Exit systems
- Functionals of Brownian meander and Brownian excursion
- Direct and inverse spectral problems for generalized strings
- Continuous strong Markov processes in dimension one
- Spectral analysis of stable processes on the positive half-line
- Hitting, occupation and inverse local times of one-dimensional diffusions: Martingale and excursion approaches
- Traces of harmonic functions, capacities, and traces of symmetric Markov processes
- Boundary trace of reflecting Brownian motions
- First passage times for subordinate Brownian motions
- Extension technique for complete Bernstein functions of the Laplace operator
- Extension technique for functions of diffusion operators: a stochastic approach
- Spectral theory for one-dimensional (non-symmetric) stable processes killed upon hitting the origin
- Local times and excursion theory for Brownian motion. A tale of Wiener and Itô measures
- Traces of symmetric Markov processes and their characterizations
- Hitting times of points for symmetric Lévy processes with completely monotone jumps
- The sweeping-out of additive functionals and processes and the boundary
- Multi-dimensional diffusion and the Markov process on the boundary
- Fluctuation theory for Lévy processes with completely monotone jumps
- ONE-DIMENSIONAL QUASI-RELATIVISTIC PARTICLE IN THE BOX
- Markovian extensions of symmetric second order elliptic differential operators
- Wiener-Hopf Factorization of Diffusions and Lévy Processes
- On harmonic functions for trace processes
- Spectral analysis of subordinate Brownian motions on the half-line
- Some Theorems Concerning 2-Dimensional Brownian Motion
- The diffusion satisfying Wentzell's boundary condition and the Markov process on the boundary, I
- On Excursions of Reflecting Brownian Motion
- On the spectral functions of the string
- [https://portal.mardi4nfdi.de/wiki/Publication:4101244 L�vy systems of Markov additive processes]
- Symmetric Stable Processes as Traces of Degenerate Diffusion Processes
- Lévy Processes and Stochastic Calculus
- A new class of bell-shaped functions
- Note on continuous additive functional of the 1-dimensional Brownian path
- An Extension Problem Related to the Fractional Laplacian
- Classical Expansions and Their Relation to Conjugate Harmonic Functions
- On a Problem in the Theory of Diffusion Processes
- Markov additive processes. II
- Bernstein functions. Theory and applications
This page was built for publication: Boundary traces of shift-invariant diffusions in half-plane