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20142026
most citedFinite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model

84 citations

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Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019

Kingman's coalescent with erosion

Félix Foutel-Rodier, Amaury Lambert, Emmanuel Schertzer

Consider the Markov process taking values in the partitions of N such that each pair of blocks merges at rate one, and each integer is eroded, i.e., becomes a singleton block, at r…

math.PR2019

Scaling Limit of Sub-ballistic 1D Random Walk among Biased Conductances: a Story of Wells and Walls

Quentin Berger, Michele Salvi

We consider a one-dimensional random walk among biased i.i.d. conductances, in the case where the random walk is transient but sub-ballistic: this occurs when the conductances have…

math.PR2019★ 1 cited

Scale-free percolation in continuum space: quenched degree and clustering coefficient

Joseba Dalmau, Michele Salvi

Spatial random graphs capture several important properties of real-world networks. We prove quenched results for the continuum space version of scale-free percolation introduced in…