Long memory random walks

My research project will entail a study on random walks, starting with the first few weeks on simple random walks with reinforced counterparts and the last three weeks simulating random walks where each edge is reinforced finitely many times. My research involves understanding basic results on simple random walks, and the limiting behaviour of once-reinforced random walks, and to create simulations for the behaviour of random walks.

Nelly Tucker

Monash University

Nelly Tucker is a second-year student at Monash University, studying a Bachelor of Science with a Major in Pure Maths and a Minor in Computational Science. She is interested in all types of mathematics, and is excited to embark on this project to further her understanding of probability theory and its applications to other fields. In the future she hopes to complete a PhD in mathematics.

In recognition of her academic work, Nelly has previously received the Dean’s List Award (2022) and ADF Future Innovators Award (2021). She is also an active member of the Peer Mentoring community at Monash as a Senior Mentor, where she has developed great communication and organisational skills.

Outside of her studies, Nelly enjoys painting and hiking. Having grown up in Sweden, she is interested in exploring more of Australia’s beautiful nature.

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