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20072026
most citedPower-law statistics and universal scaling in the absence of criticality

232 citations

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19 papers · 1 filter

math.PR2021★ 7 cited

Stochastic Models of Neural Plasticity: A Scaling Approach

Philippe Robert, Gaetan Vignoud

In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called synapses and represented by a scalar value, the synaptic w…

math.PR2020★ 4 cited

Averaging Principles for Markovian Models of Plasticity

Philippe Robert, Gaetan Vignoud

Mathematical models of biological neural networks are associated to a rich and complex class of stochastic processes. In this paper, we consider a simple {\em plastic} neural netwo…

math.PR2020★ 1 cited

Stochastic Models of Neural Synaptic Plasticity

Philippe Robert, Gaetan Vignoud

In neuroscience, learning and memory are usually associated to long-term changes of neuronal connectivity. In this context, synaptic plasticity refers to the set of mechanisms driv…

math.PR2020★ 26 cited

Combinatorial and stochastic properties of ranked tree-child networks

François Bienvenu, Amaury Lambert, Mike Steel

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Althoug…

math.PR2019

The coalescent structure of uniform and Poisson samples from multitype branching processes

Samuel G. G. Johnston, Amaury Lambert

We introduce a Poissonization method to study the coalescent structure of uniform samples from branching processes. This method relies on the simple observation that a uniform samp…

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…