Wed, 28 May 2025
11:00
L5

A central limit theorem and large deviations principle for the generalised Dean--Kawasaki equation with truncated noise on a bounded domain

Shyam Popat
(Mathematical Institute)
Abstract

We begin with motivation on how the study of SPDEs are relevant when interested in fluctuations of particle systems. 

We then present a law of large numbers, central limit theorem and large deviations principle for the generalised Dean--Kawasaki SPDE with truncated noise. 

Our main contribution is the ability to consider the equation on a general $C^2$-regular, bounded domain with Dirichlet boundary conditions. On the particle level the boundary condition corresponds to absorption and injection of particles at the boundary.

The work is based on discussions with Benjamin Fehrman and can be found at https://arxiv.org/pdf/2504.17094 

 

New Employee Assistance Programme (EAP) launching

Effective 5 May 2025, Spectrum Life is the University’s new Employee Assistance Programme (EAP) provider, offering 24/7 support to all staff.  Services include immediate emotional support, structured short-term counselling (up to 6 sessions where clinically indicated), and expert advice on legal, financial, and consumer matters. Partners and dependents aged 16+ are also eligible. 

MPLS Pride Picnic 2025

Please join us for our annual Pride Picnic. This event is open to all within MPLS who are part of the LGBTQIA+ community. 

We will meet at 1pm in University Parks but drop by when convenient. We will provide a rainbow of snacks, but feel free to bring your own lunch. We’ll be just along South Walk between the two paths from Keble Gate towards the river.

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2025 Annual Disability Lecture: ‘Building an Environment for All’ starring Sam Howison

15 May, 6pm to 8pm, Lecture Theatre 1, Blavatnik School of Government and via Zoom

Our very own Sam Howison will consider how an institution like Oxford University might think about access issues as it maintains, refurbishes and rebuilds its workplace? Includes examples 'good and bad' from the Andrew Wiles Building - Sam was Head of the Mathematical Institute during its construction.

Blueprints: how mathematics shapes creativity - Marcus du Sautoy

In this Oxford Mathematics Public Lecture Marcus du Sautoy unpacks how we make art, why a creative mindset is vital for discovering mathematics, and how a fundamental connection to the natural world intrinsically links the two subjects. 

21 May, 5.30pm. Please email Dyrol (@email) to register to attend in person.

Short stories

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