Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Weak convergence of marked point processes generated by crossings of multivariate jump processes. Applications to neural network modeling

Published:2014-11 Issue: Volume:288 Page:45-52
ISSN:0167-2789
Container-title:Physica D: Nonlinear Phenomena
language:en
Short-container-title:Physica D: Nonlinear Phenomena

Author:

Tamborrino Massimiliano,Sacerdote Laura,Jacobsen Martin

Funder

University of Torino

Università di Torino/Compagnia di San Paolo

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference53 articles.

1. Solutions of ordinary differential equations as limits of pure jump Markov processes;Kurtz;J. Appl. Probab.,1970

2. Limit theorems for a sequence of jump Markov processes approximating ordinary differential equations;Kurtz;J. Appl. Probab.,1971

3. Fluid limit theorems for stochastic hybrid systems with application to neuron models;Pakdaman;Adv. Appl. Probab.,2010

4. Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models;Riedler;Electron. J. Probab.,2012

5. Convergence of Probability Measures;Billingsley,1999

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Input-output consistency in integrate and fire interconnected neurons;Applied Mathematics and Computation;2023-03

2. A Review of Stochastic Models of Neuronal Dynamics: From a Single Neuron to Networks;Trends in Biomathematics: Modeling Epidemiological, Neuronal, and Social Dynamics;2023

3. Shot noise, weak convergence and diffusion approximations;Physica D: Nonlinear Phenomena;2021-04

4. A study of dependency features of spike trains through copulas;Biosystems;2019-10

5. Asymptotic results for weighted means of linear combinations of independent Poisson random variables;Stochastics;2019-07-14

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3