Discovery Projects - Grant ID: DP230102209

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP230102209

Funding Status
Active

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Funded Activity Summary

Self-Interacting Random Walks. This project aims to study the growth properties of a class of self-interacting processes defined on Euclidean lattices. This project expects to determine whether a shape theorem holds for once-reinforced random walks, and establish conditions for their recurrence/transience. It also expects to obtain new and very precise estimates for the local time of simple random walks. Expected outcomes of this project include solving long-standing open problems in the field of reinforced random walks, and the development of novel methods for their study. This should provide significant benefits not only to the field of mathematics, but also to the myriad of applied disciplines where self-interacting processes are utilised.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Projects

Funding Amount: $405,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Probability theory | Statistics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Expanding Knowledge In the Mathematical Sciences | Probability theory | Statistics

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