SCHREC

Stochastic recursions and limit theorems

 Coordinatore UNIVERSITE DE RENNES I 

 Organization address address: RUE DU THABOR 2
city: RENNES CEDEX
postcode: 35065

contact info
Titolo: Ms.
Nome: Yolaine
Cognome: Bompays
Email: send email
Telefono: -23233692
Fax: -23235845

 Nazionalità Coordinatore France [FR]
 Totale costo 84˙481 €
 EC contributo 84˙481 €
 Programma FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
 Code Call FP7-PEOPLE-2009-IEF
 Funding Scheme MC-IEF
 Anno di inizio 2010
 Periodo (anno-mese-giorno) 2010-10-01   -   2011-09-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITE DE RENNES I

 Organization address address: RUE DU THABOR 2
city: RENNES CEDEX
postcode: 35065

contact info
Titolo: Ms.
Nome: Yolaine
Cognome: Bompays
Email: send email
Telefono: -23233692
Fax: -23235845

FR (RENNES CEDEX) coordinator 84˙481.20

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

random    description    mandelbrot    equation    invariant    then    proved    tail    stationary    existence    studied    affine    theorems    branching    lyapunov    related    exponent    matrix    going    recursions    limit    stochastic   

 Obiettivo del progetto (Objective)

'The project concerns investigations of stochastic recursions, related limit theorems and their applications in branching processes. Recently we have proved many properties of matrix recursions, when the Lyapunov exponent is negative, including precise description of the tail of the stationary measure and resulting limit theorems. We are going to develop further the methods we have used and apply them to study new problems. The main research objectives are:

- Studying of stochastic recursions when the consecutive increments are dependent and form a stationary Markov chain. Up to now only the affine recursion has been studied and under restrictive hypotheses, existence of the stationary measure and its tail have been described. We are going to prove related limit theorems and then to investigate matrix recursions and general stochastic recursions.

- Description of the invariant measure in the critical case, when the Lyapunov exponent is null. We have studied the case of one dimensional recursions and then we proved regular behavior at infinity of the invariant measure. Now we will concentrate on matrix recursions.

- Matrix valued branching processes and Mandelbrot equation. We would like, relying on our experience on affine recursions, to study multidimensional branching processes, where scalars are replaced by positive matrices. We will investigate existence of solutions of the Mandelbrot equation and their asymptotic properties. The problem is important in the context multitype branching processes and random walks on trees in random environments.'

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