Telegraph process with elastic boundary at the origin
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Publication:1703032
DOI10.1007/s11009-017-9549-4zbMath1390.60317arXiv2103.08918OpenAlexW2592792553MaRDI QIDQ1703032
Shelemyahu Zacks, Barbara Martinucci, Antonio Di Crescenzo
Publication date: 1 March 2018
Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08918
Continuous-time Markov processes on general state spaces (60J25) Markov renewal processes, semi-Markov processes (60K15)
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Cites Work
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- Telegraph processes and option pricing
- Random flights governed by Klein-Gordon-type partial differential equations
- Telegraph processes with random jumps and complete market models
- Probability law and flow function of Brownian motion driven by a generalized telegraph process
- Occupation time distributions for the telegraph process
- A Langevin process reflected at a partially elastic boundary. I
- Flying randomly in \(\mathbb R^d\) with Dirichlet displacements
- Large deviation principles for telegraph processes
- Probability law, flow function, maximum distribution of wave-governed random motions and their connections with Kirchhoff's laws
- Iterated elastic Brownian motions and fractional diffusion equations
- A stochastic model related to the telegrapher's equation
- Random walks in an inhomogeneous one-dimensional medium with reflecting and absorbing barriers
- The first passage time and estimation of the number of level-crossings for a telegraph process
- A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions
- An alternative approach to modelling relapse in cancer with an application to adenocarcinoma of the prostate
- Langevin Process Reflected on a Partially Elastic Boundary II
- Time-Changed Processes Governed by Space-Time Fractional Telegraph Equations
- A Damped Telegraph Random Process with Logistic Stationary Distribution
- Distributions of stopping times for compound poisson processes with positive jumps and linear boundaries
- Telegraph processes with random velocities
- UPPER FIRST-EXIT TIMES OF COMPOUND POISSON PROCESSES REVISITED
- Motions with reflecting and absorbing barriers driven by the telegraph equation
- Moments of the first-passage time of a Wiener process with drift between two elastic barriers
- First passage time distribution of a Wiener process with drift concerning two elastic barriers
- Quantitative Estimates for the Long-Time Behavior of an Ergodic Variant of the Telegraph Process
- On the Asymmetric Telegraph Processes
- A Generalized Telegraph Process with Velocity Driven by Random Trials
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
- Probabilistic analysis of the telegrapher's process with drift by means of relativistic transformations
