Cover Image

Continuum graph dynamics via population dynamics: well-posedness, duality and equilibria

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Greven, Andreas, Hollander, Frank den, Klimovsky, Anton, Winter, Anita
Format:	Preprint
Published:	2023
Subjects:	Probability 05C80, 60J68, 60J70, 92D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Moran model with random resampling rates
by: Athreya, Siva, et al.
Published: (2024)

Local explosions and extinction in continuous-state branching processes with logistic competition
by: Foucart, Clément
Published: (2021)

Killing versus catastrophes in birth-death processes and an application to population genetics
by: Baake, Ellen, et al.
Published: (2024)

Continuous-state branching processes with Lévy-Khintchine drift-interaction: Laplace duality and Fellerian extensions
by: Foucart, Clément, et al.
Published: (2026)

The Brownian Spatial Coalescent
by: Koepernik, Peter
Published: (2024)

Time-inhomogeneous N-particle Branching Brownian Motion and the continuous random energy model
by: Legrand, Alexandre, et al.
Published: (2024)

Excursion theory for the Wright-Fisher diffusion
by: Jenkins, Paul A., et al.
Published: (2023)

An approximation of populations on a habitat with large carrying capacity
by: Bauman, N., et al.
Published: (2023)

A dual process for the coupled Wright-Fisher diffusion
by: Favero, Martina, et al.
Published: (2019)

Applications of the multi-sigmoidal deterministic and stochastic logistic models for plant dynamics
by: Di Crescenzo, Antonio, et al.
Published: (2024)

Uniform dispersion in growth models on homogeneous trees
by: Junior, Valdivino V., et al.
Published: (2024)

A contact process with stronger mutations on trees
by: Lopes, Fábio, et al.
Published: (2025)

Coalescent point process of branching trees in varying environment
by: Blancas, Airam, et al.
Published: (2022)

Exponential moments of truncated branching random walk martingales
by: Ma, Heng, et al.
Published: (2025)

Evolution of a trait distributed over a large fragmented population: Propagation of chaos meets adaptive dynamics
by: Lambert, Amaury, et al.
Published: (2025)

A stochastic model for immune response with mutations and evolution: the non-spatial setting
by: Grejo, Carolina, et al.
Published: (2024)

Genealogical structures under interactive neutral reproduction: factorial moment duality via a Frankenstein process
by: Baake, Ellen, et al.
Published: (2026)

Allele trees for the mother-dependent neutral mutations model and their scaling limits in the rare mutations regime
by: Blancas, Airam, et al.
Published: (2025)

The Boundary Principle of a Single Big Jump: Refined Asymptotics for Branching Processes with Immigration
by: Zhao, Yunfan
Published: (2025)

The Lamperti transformation in the infinite-dimensional setting, self-similar populations, and coalescents
by: Siri-Jégousse, Arno, et al.
Published: (2024)

Growth Models Under Uniform Catastrophes
by: Amaya, Joan, et al.
Published: (2026)

Distance to stationarity and open set recurrence for ergodic processes on the unit interval with a Bernstein or a Siegmund dual
by: Cordero, Fernando, et al.
Published: (2025)

Crossing a fitness valley in a changing environment: With and without pit stop
by: Esser, Manuel, et al.
Published: (2025)

A stochastic field theory for the evolution of quantitative traits in finite populations
by: Bhat, Ananda Shikhara
Published: (2024)

The effects of random and seasonal environmental fluctuations on optimal harvesting and stocking
by: Hening, Alexandru, et al.
Published: (2021)

Two waves of adaptation: speciation induced by dormancy in a model with changing environment
by: Cordero, Fernando, et al.
Published: (2024)

Self-repellent branching random walk
by: Bovier, Anton, et al.
Published: (2024)

Stability of (sub)critical non-local spatial branching processes with and without immigration
by: Horton, Emma, et al.
Published: (2024)

The coalescent of a sample from a linear-fractional branching process
by: Cardona-Tobón, Natalia, et al.
Published: (2025)

Statistical analysis and first-passage-time applications of a lognormal diffusion process withmulti-sigmoidal logistic mean
by: Di Crescenzo, Antonio, et al.
Published: (2024)

A generalised spatial branching process with ancestral branching to model the growth of a filamentous fungus
by: Kuwata, Lena
Published: (2024)

Convergence of population processes with small and frequent mutations to the canonical equation of adaptive dynamics
by: Champagnat, Nicolas, et al.
Published: (2023)

A spatial host-parasite model with host immunity: Survival and linear spread of parasites on $\mathbb{Z}$
by: Franck, Sascha, et al.
Published: (2025)

A phase transition for a spatial host-parasite model with extreme host immunities on $\mathbb{Z}^d$ and $\mathbb{T}_d$
by: Franck, Sascha
Published: (2025)

Genetic Composition of Supercritical Branching Populations under Power Law Mutation Rates
by: Brouard, Vianney
Published: (2023)

A general multi-scale description of metastable adaptive motion across fitness valleys
by: Esser, Manuel, et al.
Published: (2021)

Effective growth rates in a periodically changing environment: From mutation to invasion
by: Esser, Manuel, et al.
Published: (2023)

Looking forwards and backwards: dynamics and genealogies of locally regulated populations
by: Etheridge, Alison M., et al.
Published: (2023)

Behaviors near explosion of nonlinear CSBPs with regularly varying mechanisms
by: Li, Bo, et al.
Published: (2024)

Multi-type logistic branching processes with selection: frequency process and genealogy for large carrying capacities
by: Pra, Marta Dai, et al.
Published: (2025)