Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Renewal theory

Related publications (7)

Generating Sparse Stochastic Processes Using Matched Splines

Michaël Unser, Shayan Aziznejad, Leello Tadesse Dadi

We provide an algorithm to generate trajectories of sparse stochastic processes that are solutions of linear ordinary differential equations driven by Levy white noises. A recent paper showed that these processes are limits in law of generalized compound-P ...

2020

Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons

Tilo Schwalger, Noé Victor Gallice

The macroscopic dynamics of large populations of neurons can be mathematically analyzed using low-dimensional firing-rate or neural-mass models. However, these models fail to capture spike synchronization effects and nonstationary responses of the populati ...

AMER PHYSICAL SOC2020

Contact process under renewals I

Thomas Mountford

We investigate a non-Markovian analogue of the Harris contact process in Z(d): an individual is attached to each site x is an element of Z(d), and it can be infected or healthy; the infection propagates to healthy neighbours just as in the usual contact pr ...

ELSEVIER SCIENCE BV2019

Limit Behaviour of the Voter Model, Exclusion Process and Regenerative Chains

Samuel Schöpfer

Though the following topics seem unlinked, most of the tools used in this thesis are related to random walks and renewal theory. After introducing the voter model, we consider the parabolic Anderson model with the voter model as catalyst. In GÄRTNER, DEN H ...

EPFL2012

Stochastic dynamics of snow avalanche occurrence by superposition of Poisson processes

Paolo Perona, Benoît Crouzy

We study the dynamics of systems with deterministic trajectories randomly forced by instantaneous discontinuous jumps occurring according to two different compound Poisson processes. One process, with constant frequency, causes instantaneous positive rando ...

Royal Soc2012

Adaptation reduces variability of the neuronal population code

Eilif Benjamin Muller

Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for generalized non-renewal processes to calculate the interval and count statistics ...

2011

On the Transmission of Bursty Sources

Emre Telatar, Stéphane Musy

Traditionally, the bursty nature of data sources is not taken in consideration by information theory. Random arrival times typically are assumed to be smoothed out by appropriate source coding, rendering any meaningful analysis of the end-to-end delay impo ...

2006

Related publications (7)