46 10 851 https://urss.warwick.ac.uk/files/original/e85a2038cc63e96a31f370e8e37597c5.pdf 73924bd7b5d107cc5755195b7fb255a8 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Poster An academic poster Abstract The abstract of the paper An exploration of crowd and evacuation scenarios using mathematical and agent-based modelling techniques Meta Tags Meta tags Crowd Management, Crowd Dynamics, Evacuation, Mathematics Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Hector Palmer Contributor An entity responsible for making contributions to the resource Dr Susana Gomes Subject The topic of the resource Mathematics Title A name given to the resource Mathematics of Crowd Management Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://urss.warwick.ac.uk/files/original/2a3b9dcbc7061c5297bf9f1dbb9bf8bf.pdf b876d2d138b623eb2014fc37a27fa898 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper This research project explores the rise of AI-generated content, termed “synthetic content,” and its implications for generative models. Prior research indicates that if the ratio of synthetic to real content is too high, models may experience “collapse,” resulting in a decline in output quality. This study aims to analyse how increasing the synthetic ratio affects model behaviour, investigating whether this leads to a gradual decline or a sudden collapse. Understanding this boundary could help online service providers regulate synthetic content and improve insights into the behaviour of generative AIs. Meta Tags Meta tags research,poster,machine learning,generative ai Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource David Litchfield Contributor An entity responsible for making contributions to the resource Ranko Lazic and Matthias Englert Subject The topic of the resource Computer Science Title A name given to the resource Measuring generative model decay under iterative retraining with its own data Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://urss.warwick.ac.uk/files/original/e2ef200695f06d7f3c358965b35a46cf.pdf 9ea6b2f4b7ec98bf0cfa4c4205001476 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Paper An academic paper Abstract The abstract of the paper This project sought to produce a small and easy to assemble current sensor for the purpose of measuring leakage current in power MOSFETs. This current can often be in the range of nanoamps and so requires a circuit to amplify the output of any sensor. The final design involved the use of a shunt resistor as well as a operational amplifier circuit to amplify the voltage across the shunt resistor. This amplified voltage was then measured by an Arduino microprocessor to be recorded. Although the design was largely functional on paper it would have restricted range as the amplifier was unable to effectively amplify currents in the high nanoamps. Additionally the protype device was damaged during testing due to a fault so further testing was not able to take place. Despite this the design is simple, inexpensive, and can be constructed from a small number of readily available components if there is access to PCB manufacturing equipment. Meta Tags Meta tags Electronics, Engineering Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Subject The topic of the resource Engineering Date A point or period of time associated with an event in the lifecycle of the resource 2024 Title A name given to the resource Measuring Leakage Current in Power Transistors Creator An entity primarily responsible for making the resource Lewis Hillyard Electronics Engineering https://urss.warwick.ac.uk/files/original/2aa373281c175f18ae2b83c2311fc2d5.pdf 11b5a6f7f76b359f4513c3c2959b974a Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper We consider a stochastic Ising model evolving according to Glauber dynamics on a complete graph $\G$ with two clusters $\G_1$,$\G_2$. We analyse the metastability of the model and its dependence on the interaction coefficient $J^*$ between vertices $v\in G_1$, $w \in \G_2$. We also investigate the change to dynamics when a positive magnetic field with strength $h$ is introduced. In our study of the metastability we focus on the expected hitting time $\mathbb{E}[\tau^m_s]$. In \cite{Manzo}, the authors show that in the absence of deep cycles, provided we have good control on the typical paths from a $\X_m$, it is possible to derive asymptotic results concerning this value. In addition to asymptotic behaviour, we analyse the dynamics in the $n\to \infty$ limit via large deviation theory. Thus we provide weak convergence results for the Gibbs measure for under the mean-field assumption and identify changes to the dynamics below and above critical temperatures. Meta Tags Meta tags Markov Processes, Interacting Particle Systems, Large Deviation Theory Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2024 Contributor An entity responsible for making contributions to the resource Dr Paul Chleboun Title A name given to the resource Metastable Dynamics of Interacting Particle Systems Creator An entity primarily responsible for making the resource Tim Gunaydin https://urss.warwick.ac.uk/files/original/4c6d7da9b0a0118b013b12e315d83858.pdf 6bfe05f071a6222efa0d290938ddef55 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Methods in Analytic Number Theory Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Simon Shackleton Date A point or period of time associated with an event in the lifecycle of the resource 2024 analytical arithmetical function prime number theorum Warring numbers https://urss.warwick.ac.uk/files/original/155ccd1384368dc45b316c134abab3b5.pdf 62b89ae4d7bbbddc28e8525d31f3726a Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Methods to Investigate Carbon Dioxide Sensitivity in wild-type and mutated forms of Connexin 50 Subject The topic of the resource Life Sciences Creator An entity primarily responsible for making the resource Sahar Uppal Date A point or period of time associated with an event in the lifecycle of the resource 2023 Carbon Dioxide connexin 50 DNA Life Sciences molecular Sahar Uppla https://urss.warwick.ac.uk/files/original/9b30d15710f47c1cbc94fadeadd76915.pdf 8bc6669450b77e38f2cf255ed0b5f8ed Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper Named after Diophantus of Alexandria, Diophantine approximation is a field in number theory that studies how well real numbers can be approximated by rational numbers. In 1984 Mahler presented eight problems in transcendental number theory and Diophantine approximation. One of these problems posed the questions, ‘how well can irrationals in the middle third Cantor set be approximated by rationals in the middle third Cantor set?’ and ‘how well can irrationals in the middle third Cantor set be approximated by rationals not in the middle third Cantor set?’. This problem serves as the inspiration for this paper. The middle third Cantor set can be described as a missing digit set of base 3, which motivates our study of missing digit sets. In this paper, we will address the following related question, `How well can irrationals in a missing digit set be approximated by rationals with polynomial denominators?' and prove some related results. To achieve this, we will be closely looking at Khintchine's theorem, particularly the convergence case and aim to prove a Khintchine-like convergence theorem for missing digit sets with large bases and rationals with polynomial denominators. Meta Tags Meta tags tag1 mathematics, tag2 number theory, tag3 Diophantine approximation, tag4 measure theory, tag5 missing digit sets Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Subject The topic of the resource Diophantine approximation Date A point or period of time associated with an event in the lifecycle of the resource 2024 Title A name given to the resource Metric Diophantine Approximation on Fractals Creator An entity primarily responsible for making the resource James Wyatt https://urss.warwick.ac.uk/files/original/080e9edc81b4e341ba7e5c9c3657a75a.pdf e6c76d93509ae535f756da564cc13de8 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Mathematics Academic Paper An academic paper Abstract The abstract of the paper This project is supervised by Han Yu in Warwick Mathematics Institute. The main aim of this project is to explore the Khinchine's theorem on \mathbb(R)^n, and further restrict to a non-degenerate manifold \mathcal{M} with Gaussian curvature on \mathbb{R}^n, with relative measure on \mathcal{M}. For simplicity we just prove the result over [0,1]^n. Meta Tags Meta tags Number theory, Diophantine approximation, Khinchine's theorem Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Subject The topic of the resource Mathematics Date A point or period of time associated with an event in the lifecycle of the resource 2025 Contributor An entity responsible for making contributions to the resource Warwick Mathematics Institute Title A name given to the resource Metric diophantine approximation on non-degenerate manifold Creator An entity primarily responsible for making the resource Wenqing Yu https://urss.warwick.ac.uk/files/original/a8ebd18c61c5ec096de1d4fbc16b9c53.pdf a592b8132d783cf75d2befa963b66ba6 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Abstract The abstract of the paper Epilepsy is one of the most common neurodegenerative diseases, characterised by electrical imbalances in neurons yielding seizure activity. Around 600 people with epilepsy in the UK die every year from sudden unexpected death in epilepsy (SUDEP). A major cause of SUDEP, seizure-induced cardiorespiratory autonomic dysfunction, is known, however exact neuronal and microglial inflammatory mechanisms governing this impairment have not been characterised. Microglia, the resident multifunctional immune cells of the central nervous system were shown to surround cardiorespiratory neurons and to exhibit both pro- and anti-epileptic functions, supporting their modulatory role in the breathing phenotype characteristic of epilepsy. Cardiorespiratory dysfunction was previously suggested to arise resulting from propagating neuronal hyperexcitability into the brainstem and the consequent microglia-induced neuroinflammation. Based on this phenotype we hypothesize that seizure-induced microglial activation changes from being initially beneficial against seizures in acute epilepsy, to detrimental by progressively decreasing the threshold for seizures in chronic epilepsy, to ultimately fatal by compromising the activity of cardiorespiratory autonomic neurons in the brainstem. Cardiorespiratory function was examined in awake, freely moving epileptic and sham-treated mice in response to different levels of CO2 levels. Microglia activity rescued the breathing phenotype in acute but worsened it in chronic epilepsy. These findings suggest microglia may remodel cardiorespiratory neuronal circuits in epilepsy potentially leading to SUDEP. This research suggests directions for novel treatments for epilepsy that appropriately modify microglia activity. Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Microglia Modulate the Breathing Phenotype in Chronic Epilepsy Subject The topic of the resource Life Sciences Creator An entity primarily responsible for making the resource Bíborka Balázs Date A point or period of time associated with an event in the lifecycle of the resource 2023 animal models Bíborka Balázs breathing epilepsy health Life Sciences Neurodegenerative disorders neuroscience SUDEP https://urss.warwick.ac.uk/files/original/f25dd4eb20d39aab2830c52f45d63566.pdf 629a8597f2d34edea73fa8cb070a43c5 Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Science, Engineering and Medicine Academic Poster An academic poster Meta Tags Meta tags Epilepsy, SUDEP, Neuroscience, Life Sciences, Adwoa Boaten, Animal Models, Immunohistochemistry, Confocal Microscopy Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Creator An entity primarily responsible for making the resource Adwoa Boaten Subject The topic of the resource Life Sciences Title A name given to the resource Microglia Modulate the Development of the Chronic Epilepsy Breathing Phenotype Date A point or period of time associated with an event in the lifecycle of the resource 2024