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EPSRC Random Systems CDT

@CDTRandomSys

The @EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and Algorithms @OxUniMaths @OxfordStats @ImperialSci

randomsystems-cdt.ac.uk/
Joined September 2019
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New from CDT student Bernat Bassols-Cornudella @ImperialMaths Binomial Cayley Graphs and Applications to Dynamics on Finite Spaces The paper is co-written with Francesco Viganò of the @EPSRC CDT in Geometry and Number Theory #Combinatorics #PhD doi.org/10.48550/arXiv.2305.…
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Image from EPSRC Random Systems CDT (@CDTRandomSys)
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If you weren't lucky enough to see @DesHigham live at our Conference of Mathematics of Random Systems @ICMS_Edinburgh we're happy to share this video of his excellent Public Lecture - #DeepLearning: What Could Go Wrong? - 25/04/23 youtu.be/xiP-2w2MuVQ
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Thanks to our keynote speakers Ilya Chevyrev, Ellen Powell, @eyal_neuman & @SamCMaths for sharing their research with us in a selection of excellent talks. Thanks also to @DesHigham for a hugely popular public talk on #DeepLearning (what could go wrong?) sites.google.com/view/mlfina…
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Thanks so much to all who took part in our 2023 Conference on Mathematics of Random Systems @ICMS_Edinburgh. We had excellent talks from our amazing students reflecting the broad range of topics in the CDT. The abstracts can be found on our website randomsystems-cdt.ac.uk/2023…
Participants at the 2023 Conference in Mathematics of Random Systems

ALT Participants at the 2023 Conference in Mathematics of Random Systems

CDT students at the top of Arthur's Seat, an extinct volcano in Edinburgh

ALT CDT students at the top of Arthur's Seat, an extinct volcano in Edinburgh

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CDT student Luca Gerolla @ImperialMaths has a new paper with @MartinHairer & Xue-Mei Li Fluctuations of stochastic #PDEs with long-range correlations arxiv.org/abs/2303.09811 #Probability #MathematicalPhysics 1/4
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New from CDT student Giuseppe Tenaglia with Jeroen Lamb and Dmitry Turaev @ImperialMaths "Horsehoes for a class of nonuniformly expanding random dynamical systems on the circle" doi.org/10.48550/arXiv.2304.… #ChaoticBehaviour #SymbolicDynamics #DynamicalSystems
Abstract for paper: We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to additive noise, large enough to make the Lyapunov exponent positive. In particular, we provide conditions which guarantee that given any pair of disjoint intervals, for almost every noise realization, there exists a positive density sequence of return times to these intervals such that the induced dynamics are the full shift on two symbols.

ALT Abstract for paper: We propose a notion of random horseshoe for one-dimensional random dynamical systems. We prove the abundance of random horseshoes for a class of circle endomorphisms subject to additive noise, large enough to make the Lyapunov exponent positive. In particular, we provide conditions which guarantee that given any pair of disjoint intervals, for almost every noise realization, there exists a positive density sequence of return times to these intervals such that the induced dynamics are the full shift on two symbols.

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New from CDT students Matheus Castro & Giuseppe Tenaglia @ImperialMaths Random Young towers and quenched decay of correlations for predominantly expanding multimodal circle maps doi.org/10.48550/arXiv.2303.… #DynamicalSystems #ExponentialMixing #LyapunovExponents
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We are excited to be holding our conference on the Mathematics of Random Systems @ICMS_Edinburgh 24-26 April 2023. To learn more, including how to register please visit randomsystems-cdt.ac.uk/2023…
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Now in #QuantitiveFinance from CDT student Felix Prenzel, Rama Cont, Mihai Cucuringu & Vacslav Glukhov Analysis & modeling of client order flow in #LimitOrderMarkets doi.org/10.1080/14697688.202… Four distinct clusters of client order flow are identified and their properties analysed
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CDT students @ThomasTendron and Julian Sieber shared their research at our last workshop of 2022 We were joined for a discussion on careers after a PhD in Maths by Katia Babbar @ImmersiFiMI Coralia Cartis & Robert Leese @smithinst randomsystems-cdt.ac.uk/even… randomsystems-cdt.ac.uk/even…
Julian Sieber takes questions from the floor

ALT Julian Sieber takes questions from the floor

Thomas Tendron introduces his work

ALT Thomas Tendron introduces his work

Coralia Cartis speaking on the careers panel

ALT Coralia Cartis speaking on the careers panel

CDT members at dinner at Worcester College

ALT CDT members at dinner at Worcester College

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