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Sharp approximation and hitting times for stochastic invasion processes

Project: SINGER

Updated at: 01-11-2025

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Periodic Reporting for period 1 - SINGER (Stochastic dynamics of sINgle cells: Growth, Emergence and Resistance)

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On the Krein-Rutman theorem and beyond

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Efficient simulation of individual-based population models: the R Package IBMPopSim

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Mathematical complements and developments associated to the main file. from Complex systems in ecology: a guided tour wi...

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Updated at: 01-03-2025

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Random walks on simplicial complexes

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The epidemiological footprint of contact structures in models with two levels of mixing

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Quasi-stationary distribution for kinetic SDEs with low regularity coefficients

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Algebraic two-level measure trees

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Regime switching on the propagation speed of travelling waves of some size-structured Myxobacteria population models

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Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress

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Evolving genealogies for branching populations under selection and competition

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Estimation of the lifetime distribution from fluctuations in Bellman-Harris processes

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Convergence of population processes with small and frequent mutations to the canonical equation of adaptive dynamics

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Classical Myelo-Proliferative Neoplasms emergence and development in patients based on real-life incidence and mathemati...

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Impact of the horizontal gene transfer on the evolutionary equilibria of a population

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Weak convergence of continuous-state branching processes with large immigration

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Branching diffusion processes and spectral properties of Feynman-Kac semigroup

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A scenario for an evolutionary selection of ageing

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Strong uniform convergence of Laplacians of random geometric and directed kNN graphs on compact manifolds

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Time reversal of spinal processes for linear and non-linear branching processes near stationarity

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Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations

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Fast, slow convergence, and concentration in the house of cards replicator-mutator model

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General criteria for the study of quasi-stationarity

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Exponential ergodicity of a degenerate age-size piecewise deterministic process

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Complex systems in Ecology: A guided tour with large Lotka-Volterra models and random matrices

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Existence, uniqueness and ergodicity for the centered Fleming-Viot process

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Quantitative effects of the stress response to DNA damage in the cell size control of Escherichia coli.

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Updated at: 01-03-2025

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Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts

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Updated at: 01-03-2025

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