5 10 110 https://linen-dog.lnx.warwick.ac.uk/files/original/1f1860ef4fdfc9d2a47a7eb1512032b6.pdf ea7d1359bffa73e3aaeb3f798032bedb 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 Proving Irrationality using Modular Forms Subject The topic of the resource Mathematics Creator An entity primarily responsible for making the resource Jai N Anantharajan Date A point or period of time associated with an event in the lifecycle of the resource 2024 Algebra Number Theory pure maths https://linen-dog.lnx.warwick.ac.uk/files/original/100f72ea5d4be0016cfdc58335260fd6.pdf 5bf33ba1e398024fb1ef88316da7f706 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 Meta Tags Meta tags Mathematics, Stochastic Differential Equations, Proton Beam Therapy 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 Richard Fekete Title A name given to the resource MONTE CARLO SIMULATION OF SDEs ASSOCIATED WITH PROTON BEAM THERAPY 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 Mathematics Proton Beam Therapy Stochastic Differential Equations https://linen-dog.lnx.warwick.ac.uk/files/original/7aebc547f1fce59d747f3c67e940b2e6.pdf fd60a0cc1ab5593d5355ec7a561f5cdd 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 Modelling Rare Stock Price Trajectories with Importance Splitting Meta Tags Meta tags Stochastic, Modelling, Finance, Rare Events 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 Archie Forsyth Contributor An entity responsible for making contributions to the resource Tobias Grafke Subject The topic of the resource Mathematics Title A name given to the resource Modelling Rare Stock Price Trajectories with Importance Splitting Date A point or period of time associated with an event in the lifecycle of the resource 2024 Importance Splitting Modelling Rare Events Stochastic https://linen-dog.lnx.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://linen-dog.lnx.warwick.ac.uk/files/original/cc5fcdaceaa8863e62ac443131b77d3e.pdf a6b0f9ac364fa637572418c2e10a730b 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 introduction to cyclotomic polynomials and modified Cauchy-Mirimano(CLM) polynomials Meta Tags Meta tags cyclotomic polynomial 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 Yiming Liao Contributor An entity responsible for making contributions to the resource Miles Reid Subject The topic of the resource Mathematics Title A name given to the resource An introduction to cyclotomic polynomials and modified Cauchy-Mirimano(CLM) polynomials Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://linen-dog.lnx.warwick.ac.uk/files/original/4adf5e1b19e87fb3f6234910200bc707.pdf 6b79aac9c7bec6d1e10d2f18a524e8be 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 A study of TV denoising with applications in blood vessel segmentation Meta Tags Meta tags Mathematics, Denoising, Inverse Problems, Regularisation, Total Variation, Discretisation, Ultrasound Scanning, Blood Vessels 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 Mihails Kosmans Contributor An entity responsible for making contributions to the resource Dr Björn Stinner Subject The topic of the resource Mathematics Title A name given to the resource A study of TV denoising with applications in blood vessel segmentation Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://linen-dog.lnx.warwick.ac.uk/files/original/5076710a3548004d073430fbf9c90345.pdf bfa5622fc5348d5385326fcd05d95c08 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 My URSS project explores a problem set out by Silversmith in [1] and [2]. The project involves ideas from projective geometry, graph theory and combinatorics. 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 Kitty Powell Contributor An entity responsible for making contributions to the resource Helena Verrill Subject The topic of the resource Cross-ratio degree problems Title A name given to the resource 'Cross-ratio degree problems for 7 and 8 points in projective space' combinatorics Geometry Graph Theory projective geometry https://linen-dog.lnx.warwick.ac.uk/files/original/c608e2d910b0d7441b9c6e1af92aca7c.pdf 3d87c2d63c7c323987075322deef26df 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 document is a report/log of my 2024 Undergraduate Research Support Scheme (URSS) project with the University of Warwick. This project was completed under the supervision of Helena Verrill, with the Warwick Mathematics Institute. The project has synergies with projective geometry, graph theory and combinatorics. 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 Title A name given to the resource Cross-ratio degree problems https://linen-dog.lnx.warwick.ac.uk/files/original/1096c1829ac5123add8cadc7cf9893a1.pdf c888bcb4c70da86ef1e62ed3b95f9bd7 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 As a space that is notoriously difficult to visualise, the hyperbolic plane is important in many areas of physics, geometry, dynamical systems, and other areas of mathematics. 3D printing models of the hyperbolic plane means that its geometric properties can be better appreciated by both students and the general public. Meta Tags Meta tags Mathematics, 3D Printing, Geometry, Hyperbolic Geometry, Mathematica, Surfaces 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 Zebedee Aylin Contributor An entity responsible for making contributions to the resource Dr Helena Verrill Subject The topic of the resource Mathematics Title A name given to the resource 3D Printing Models of the Hyperbolic Plane Date A point or period of time associated with an event in the lifecycle of the resource 2024 https://linen-dog.lnx.warwick.ac.uk/files/original/e7c8ce8e39596a5b6309bf6fb023592f.pdf 4c68ad2d128c4c4f4ef6ff28770b7e76 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 Introduced a technique to image denoising using LISTA framework. Meta Tags Meta tags #Applied Mathematics #Machine Learning #Optimization #Image Denoising #Neural Network 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 Hongxin Zhen Contributor An entity responsible for making contributions to the resource Clarice Poon, Paris Giampouras Subject The topic of the resource Mathematics Title A name given to the resource Image Denoising via Neural Network Techniques Date A point or period of time associated with an event in the lifecycle of the resource 2024