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List of works by Eva Löcherbach

A System of Interacting Neurons with Short Term Synaptic Facilitation ⬇️

journal article from 'Journal of Statistical Physics' published in 2020

A system of interacting neurons with short term plasticity ⬇️

scholarly article from 'arXiv:1903.01270v1 [math.PR]' published in 2019

Absolute continuity of the invariant measure in Piecewise Deterministic Markov Processes having degenerate jumps ⬇️

journal article from 'arXiv:1601.07123 [math]' published in 2016

Absolute continuity of the invariant measure in piecewise deterministic Markov Processes having degenerate jumps ⬇️

scholarly article from 'Stochastic Processes and their Applications' published in 2018

Age Dependent Hawkes Process ⬇️

scholarly article from 'arXiv:1806.06370 [math]' published in 2019

Conditional propagation of chaos for mean field systems of interacting neurons ⬇️

scholarly article from 'arXiv:1909.02925 [math]' published in 2020

Convergence to equilibrium for time inhomogeneous jump diffusions with state dependent jump intensity ⬇️

scholarly article from 'arXiv:1712.03507 [math]' published in 2018

Ergodicity and limit theorems for degenerate diffusions with time periodic drift. Application to a stochastic Hodgkin−Huxley model ⬇️

scholarly article from 'ESAIM: Probability and Statistics' published in 2016

Ergodicity and limit theorems for degenerate diffusions with time periodic drift. Applications to a stochastic Hodgkin-Huxley model ⬇️

scholarly article from 'arXiv:1503.01648 [math]' published in 2016

Ergodicity and speed of convergence to equilibrium for diffusion processes ⬇️

document published in 2015

Estimating the interaction graph of stochastic neural dynamics

scientific article

Hawkes processes with variable length memory and an infinite number of components ⬇️

scientific article

Hawkes processes with variable length memory and an infinite number of components ⬇️

journal article from 'Advances in Applied Probability' published in 2017

Hydrodynamic Limit for Interacting Neurons ⬇️

scientific article

Infinite Systems of Interacting Chains with Memory of Variable Length—A Stochastic Model for Biological Neural Nets ⬇️

scientific article published in March 2013

Information Transmission and Criticality in the Contact Process ⬇️

scholarly article from 'Journal of Statistical Physics' published in 2017

Kalikow-type decomposition for multicolor infinite range particle systems ⬇️

journal article from 'The Annals of Applied Probability' published in 2013

Large deviations for cascades of diffusions arising in oscillating systems of interacting Hawkes processes ⬇️

scholarly article from 'arXiv:1709.09356 [math]' published in 2017

Mean field limits for nonlinear spatially extended Hawkes processes with exponential memory kernels ⬇️

journal article from 'Stochastic Processes and their Applications' published in 2019

Modeling networks of spiking neurons as interacting processes with memory of variable length ⬇️

scientific article

Multi-class oscillating systems of interacting neurons

Multi-class oscillating systems of interacting neurons ⬇️

scholarly article from 'arXiv:1512.00265 [math]' published in 2016

Neighborhood radius estimation for variable-neighborhood random fields ⬇️

journal article from 'Stochastic Processes and their Applications' published in 2011

Non-parametric estimation of the spiking rate in systems of interacting neurons

scientific article

On Nummelin splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multi-dimensional diffusions ⬇️

scholarly article from 'Stochastic Processes and their Applications' published in 2008

On a Finite-Size Neuronal Population Equation ⬇️

scholarly article from 'SIAM Journal on Applied Dynamical Systems' published in 2023

On a toy model of interacting neurons ⬇️

journal article from 'arXiv:1410.3263 [math]' published in 2015

On the Mathematical Consequences of Binning Spike Trains

scientific article published on 20 October 2016

Phase Transition for Infinite Systems of Spiking Neurons ⬇️

scientific article

Probabilistic spiking neuronal nets - Neuromathematics for the computer era ⬇️

manuscript published in 2021

Propagation of chaos and phase transition in a stochastic model for a social network ⬇️

published in May 2024

Spiking neurons: interacting Hawkes processes, mean field limits and oscillations ⬇️

journal article from 'ESAIM: Proceedings and Surveys' published in 2017

Stability, convergence to equilibrium and simulation of non-linear Hawkes processes with memory kernels given by the sum of Erlang kernels ⬇️

journal article from 'ESAIM: Probability and Statistics' published in 2019

Stochastic chains with memory of variable length ⬇️

journal article from 'arXiv:0804.2050 [math]' published in 2008

Stochastic coalescence with homogeneous-like interaction rates ⬇️

scholarly article from 'Stochastic Processes and their Applications' published in 2009

Strong error bounds for the convergence to its mean field limit for systems of interacting neurons in a diffusive scaling ⬇️

scholarly article published in 2021

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