Measure-valued growth processes in continuous space and growth properties starting from an infinite interface
DOI10.1016/j.spa.2023.104291arXiv2205.03937OpenAlexW4390619805MaRDI QIDQ6123270
Amandine Véber, Apolline Louvet
Publication date: 4 March 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.03937
Continuous-time Markov processes on general state spaces (60J25) Sums of independent random variables; random walks (60G50) Population dynamics (general) (92D25) Random measures (60G57) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Time-dependent percolation in statistical mechanics (82C43)
Cites Work
- A central limit theorem for the spatial \(\Lambda\)-Fleming-Viot process with selection
- The Brownian net and selection in the spatial \(\Lambda\)-Fleming-Viot process
- First passage percolation on \(\mathbb {Z}^2\): a simulation study
- A new model for evolution in a spatial continuum
- An improved subadditive ergodic theorem
- Some limit theorems for percolation processes with necessary and sufficient conditions
- Inequalities for the time constant in first-passage percolation
- First-passage percolation on the square lattice
- Stochastic Burgers and KPZ equations from particle systems
- Euclidean models of first-passage percolation
- Branching Brownian motion and selection in the spatial \(\Lambda\)-Fleming-Viot process
- Branching Brownian motion, mean curvature flow and the motion of hybrid zones
- A microscopic probabilistic description of a locally regulated population and macroscopic approximations
- Rescaling limits of the spatial Lambda-Fleming-Viot process with selection
- The spatial Lambda-Fleming-Viot process with fluctuating selection
- The spatial lambda-Fleming-Viot process: an event-based construction and a lookdown representation
- Continuous first-passage percolation and continuous greedy paths model: Linear growth
- Shape of territories in some competing growth models
- 50 Years of First-Passage Percolation
- Dynamic Scaling of Growing Interfaces
- Multiple Phase Transitions in Long-Range First-Passage Percolation on Square Lattices
- Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
- Asymptotic shape in a continuum growth model
- Coexistence in a two-type continuum growth model
- Lower and Upper Bounds for the Time Constant of First-Passage Percolation
- A stochastic model for competing growth on $\mathbb{R}^d$
- Stochastic Models for Structured Populations
- Probability Inequalities for Sums of Bounded Random Variables
- The spatial \(\Lambda\)-Fleming-Viot process in a random environment
- Stochastic measure-valued models for populations expanding in a continuum
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Measure-valued growth processes in continuous space and growth properties starting from an infinite interface
