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Memory and hypoellipticity in neuronal models Löcherbach, Eva

Description

I will discuss the effect of memory in two classical models of neuroscience, first the stochastic Hodgkin-Huxley model, considered in a series of papers by R. Höpfner, M. Thieullen and myself, and second, a model of interacting Hawkes processes in high dimension which has been studied recently by S. Ditlevsen and myself. I will explain why memory leads to hypoellipticity and then discuss the probabilistic and statistical consequences of this fact.

Item Metadata

Title
Memory and hypoellipticity in neuronal models
Creator
Löcherbach, Eva
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2017-02-27T14:16
Description
I will discuss the effect of memory in two classical models of neuroscience, first the stochastic Hodgkin-Huxley model, considered in a series of papers by R. Höpfner, M. Thieullen and myself, and second, a model of interacting Hawkes processes in high dimension which has been studied recently by S. Ditlevsen and myself. I will explain why memory leads to hypoellipticity and then discuss the probabilistic and statistical consequences of this fact.
Extent
38 minutes
Subject
Mathematics; Statistics; Probability theory and stochastic processes; Applied statistics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Université de Cergy-Pontoise
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2017-08-26
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0354793
URI
http://hdl.handle.net/2429/62834
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International