Persistence of sums of correlated increments and clustering in cellular automata
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Publication:2419967
DOI10.1016/j.spa.2018.04.012zbMath1478.60198arXiv1706.08117OpenAlexW2964049198MaRDI QIDQ2419967
Publication date: 4 June 2019
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.08117
cellular automataMarkov chainsurvival probabilityrunning maximumannihilating particle systemscorrelated increments
Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical aspects of cellular automata (37B15)
Related Items (7)
Universality for persistence exponents of local times of self-similar processes with stationary increments ⋮ Cyclic cellular automata and Greenberg-Hastings models on regular trees ⋮ Persistence probabilities of weighted sums of stationary Gaussian sequences ⋮ Penalizing fractional Brownian motion for being negative ⋮ Asymptotic behaviour of the one-dimensional ``rock-paper-scissors cyclic cellular automaton ⋮ Clustering in the three and four color cyclic particle systems in one dimension ⋮ Large deviations and one-sided scaling limit of randomized multicolor box-ball system
Cites Work
- Unnamed Item
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- Unnamed Item
- A note on Wiener-Hopf factorization for Markov additive processes
- On the equality of algebraic and geometric multiplicities of matrix eigenvalues
- Flux and fixation in cyclic particle systems
- Some rigorous results for the Greenberg-Hastings model
- Clustering in the one-dimensional three-color cyclic cellular automaton
- A stochastic model related to the telegrapher's equation
- Ballistic annihilation and deterministic surface growth.
- Limiting behavior of 3-color excitable media on arbitrary graphs
- On the functional central limit theorem for stationary processes
- Synchronization of finite-state pulse-coupled oscillators
- Splitting and time reversal for Markov additive processes
- Persistence Probabilities and Exponents
- Random Graphs and Complex Networks
- An Elementary Proof of the Hitting Time Theorem
- A Combinatorial Lemma and Its Application to Probability Theory
- Markov Chains and Stochastic Stability
- Spatial Patterns for Discrete Models of Diffusion in Excitable Media
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- Additive Functionals of Markov Processes in Duality
- Symmetric Wiener-Hopf factorisations in Markov additive processes
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