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  • 2023

    Modelling the rise of volcanic plumes to estimate mass eruption rates

    Hogg, A. J. & Woodhouse, M. J., 30 Aug 2023, (Accepted/In press) More UK Success Stories in Industrial Mathematics. Aston, P. (ed.). Springer, Cham, (Mathematics in Industry).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • 2022

    Computing Classical Modular Forms

    Best, A., Bober, J. W., Booker, A. R., Costa, E., Cremona, J., Derickx, M., Lee, M., Lowry-Duda, D., Roe, D., Sutherland, A. & Voight, J., 16 Mar 2022, Arithmetic Geometry, Number Theory, and Computation. 1 ed. Springer, p. 131-213 82 p. (Simons Symposia).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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  • Decidability in Proof-Theoretic Validity

    Stafford, W., 2022, The Logica Yearbook 2021.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • 2021

    Pooled testing and its applications in the COVID-19 pandemic

    Ellis, D. & Aldridge, M. P., 24 Oct 2021, Pandemics: Insurance and Social Protection. Springer

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Public Engagement 280 Characters at a Time

    Johnson, O. T., 21 Jan 2021, (E-pub ahead of print) Math in the Time of Corona. Wonders, A. (ed.). Springer

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    Open Access
  • 2020

    Descriptive properties of higher Kurepa trees

    Schlicht , P. & Lücke, P., 11 Dec 2020, (Accepted/In press) Research Trends in Contemporary Logic. College Publications

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Improved bounds on Brun's constant

    Platt, D. & Trudgian, T., 26 Mar 2020, From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017. Bailey, D. H., Borwein, N. S., Brent, R. P., Burachik, R. S., Osborn, J.-A. H., Sims, B. & Zhu, Q. J. (eds.). Springer-Verlag Berlin, Vol. 313. p. 395-406 12 p. (Springer Proceedings in Mathematics and Statistics; vol. 313).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    3 Citations (Scopus)
    144 Downloads (Pure)

  • Length functions on currents and applications to dynamics and counting

    Erlandsson, V. & Uyanik, C., 2020, In the tradition of Thurston . Papadopoulos , A. & Oshika, K. (eds.). Springer

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    5 Citations (Scopus)
  • 2019

    Point-plane incidences and some applications in positive characteristic

    Rudnev, M., 2019, Combinatorics and Finite Fields Difference Sets, Polynomials, Pseudorandomness and Applications Difference Sets, Polynomials, Pseudorandomness and Applications, K.-U. Schmidt and A. Winterhof, eds., vol. 23 of Radon Series on Computational and Applied Mathematics. Berlin, Boston: de Gruyter, Vol. 23. p. 211--240

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Proving Theorems from Reflection

    Welch, P. D., 12 Nov 2019, (E-pub ahead of print) Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Centron, S., Sarikaya, D. & Kant, D. (eds.). Springer, Cham, p. 79-97 19 p. (Synthese Library in Philosophy; vol. 407).

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    2 Citations (Scopus)
    145 Downloads (Pure)

  • Semistable types of hyperelliptic curves

    Maistret, C., Dokchitser, T., Dokchitser, V. & Morgan, A., 22 Jan 2019, Algebraic Curves and Their Applications. Beshaj, L. & Shaska, T. (eds.). American Mathematical Society, p. 73-136 64 p. (Contemporary Mathematics; vol. 724).

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    8 Citations (Scopus)
    260 Downloads (Pure)
  • 2018

    Elliptic fibrations on covers of the elliptic modular surface of level 5

    Maistret, C., Balastrieri, F., Desjardins, J., Garbagnati, A., Salgado , C. & Vogt, I., 2018, Contributions to Number Theory and Arithmetic Geometry, AWM Springer Series 11. (WINE II: Contributions to Number Theory and Arithmetic Geometry).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Exploring Dynamics and Noise in Gonadotropin-Releasing Hormone (GnRH) Signaling

    Voliotis, M., Garner, K. L., Alobaid, H., Tsaneva-Atanasova, K. & McArdle, C. A., 2018, Methods in Molecular Biology. Vol. 1819. p. 405-429 25 p. (Methods in Molecular Biology).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    4 Citations (Scopus)

  • Feferman and the Truth

    Cantini, A., Volker, H. & Fujimoto, K., 2 Apr 2018, Feferman on Foundations: Logic, Mathematics, Philosophy. Springer, p. 287 314 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Order-of-magnitude speedup for steady states and traveling waves via Stokes preconditioning in Channeflow and Openpipeflow

    Tuckerman, L., Langham, J. & Willis, A., 17 Apr 2018, (Accepted/In press) Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics. Gelfgat, A. (ed.). 1 ed. Springer International Publishing AG, (Computational Methods in Applied Sciences; vol. 50).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Order-of-magnitude speedup for steady states and traveling waves via stokes preconditioning in channelflow and openpipeflow

    Tuckerman, L. S., Langham, J. & Willis, A., 7 Jul 2018, Computational Methods in Applied Sciences. Springer, Cham, p. 3-31 29 p. (Computational Methods in Applied Sciences; vol. 50).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    9 Citations (Scopus)

  • Simple groups, fixed point ratios and applications

    Burness, T., 15 May 2018, Local Representation Theory and Simple Groups. European Mathematical Society, p. 267-322 56 p. (EMS Series of Lectures in Mathematics; vol. 29).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • The Axiomatic Approach to Truth

    Volker, H., Fujimoto, K. & Glanzberg, M. (Editor), 19 Jul 2018, Oxford Handbook of Truth. Oxford University Press, p. 718 738 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Two Sides of the Same Coin: Counting and Enumerating Keys Post Side-Channel Attacks Revisited

    Martin, D. P., Mather, L. & Oswald, E., 7 Mar 2018, Two Sides of the Same Coin: Counting and Enumerating Keys Post Side-Channel Attacks Revisited. p. 394-412 Chapter 21. (Topics in Cryptology – CT-RSA 2018; vol. 10808).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    11 Citations (Scopus)
  • 2017

    Cloaking in Water Waves

    Porter, R., 1 Dec 2017, World Scientific Handbook of Metamaterials and Plasmonics. World Scientific Publishing Co., (World Scientific Handbook of Metamaterials and Plasmonics cover World Scientific Series in Nanoscience and Nanotechnology; vol. 2).

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    4 Citations (Scopus)
    514 Downloads (Pure)

  • Entropy and thinning of discrete random variables

    Johnson, O. T., 21 Apr 2017, Convexity and concentration: proceedings of the Spring 2015 Semester of the Theme Year in Discrete Structures, IMA Minneapolis. Carlen, E., Madiman, M. & Werner, E. (eds.). Springer, p. 33-53 (The IMA Volumes in Mathematics and its Applications; vol. 161).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    379 Downloads (Pure)

  • Gödel

    Welch, P. D., 29 Jun 2017, The History of Philosophical and Formal Logic: From Aristotle to Tarski. Antonutti-Marfori, M. & Malpass, A. (eds.). Bloomsbury

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    103 Downloads (Pure)

  • How sticky is the chaos/order boundary?

    Dettmann, C. P., 30 Sept 2017, Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov: Conference Dedicated to the Memory of Nikolai Chernov Dynamical Systems, Ergodic Theory, and Probability May 18–20, 2015 University of Alabama at Birmingham, Birmingham, Alabama. Bloch, A. M., Bunimovich, L. A., Jung, P. H., Oversteegen, L. G. & Sinai, Y. G. (eds.). American Mathematical Society, p. 111-128 18 p. (Contemporary Mathematics; vol. 698).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    3 Citations (Scopus)
    293 Downloads (Pure)

  • Impurity models and products of random matrices

    Comtet, A. & Tourigny, Y., 10 Aug 2017, Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School 2015. Schehr, G., Altland, A., Fyodorov, Y. V., O'Connell, N. & Cugliandolo, L. F. (eds.). Oxford: Oxford University Press, Vol. 104. 71 p. (Lecture Notes of the Les Houches Summer School).

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  • Obtaining Woodin's cardinals

    Welch, P. D., 30 May 2017, Foundations of Mathematics: Logic at Harvard: Essays in Honor of W. Hugh Woodin's 60th Birthday, March 27-29 2015, Harvard University, Cambridge, MA. Caicedo, A. E., Cummings, J., Koellner, P. & Larson, P. B. (eds.). American Mathematical Society, p. 161-176 16 p. (Contemporary Mathematics; vol. 690).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    6 Citations (Scopus)
    473 Downloads (Pure)

  • On the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential II

    Bothner, T., Deift, P., Its, A. & Krasovsky, I., 23 Mar 2017, (E-pub ahead of print) Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics: The Albrecht Böttcher Anniversary Volume. Bini, D. A., Ehrhardt, T., Karlovich, A. Y. & Spitkovsky, I. (eds.). Springer, Vol. 259. p. 213-234 ( Operator Theory: Advances and Applications; vol. 259).

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    11 Citations (Scopus)
    14 Downloads (Pure)

  • Random matrices and number theory: some recent themes

    Keating, J., 2017, Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School: Volume 104, July 2015.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • The recognizability strength of infinite time Turing machines with ordinal parameters

    Schlicht, P. & Carl, M., 2017, The recognizability strength of infinite time Turing machines with ordinal parameters. p. 198-209 12 p. (Lecture Notes in Computer Science ; vol. 10307).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    1 Citation (Scopus)
  • 2016

    Anomaly detection for cyber security applications

    Rubin-Delanchy, P., Lawson, D. J. & Heard, N. A., 1 May 2016, Dynamic Networks and Cyber-Security. World Scientific Publishing Co., Vol. 1. p. 137-156 20 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    7 Citations (Scopus)

  • Avalanche defence schemes

    Hogg, A. J. & Jóhannesson, T., 1 Jan 2016, UK Success Stories in Industrial Mathematics. Springer International Publishing AG, p. 53-58 6 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    1 Citation (Scopus)

  • Discrete transfinite computation

    Welch, P., 22 Jan 2016, Turing's Revolution: The Impact of His Ideas about Computability. Sommaruga, G. & Strahm, T. (eds.). Basel: Birkhäuser Basel, p. 161-185 25 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    3 Citations (Scopus)
    369 Downloads (Pure)

  • Introduction

    Horsten, L. & Welch, P., 11 Aug 2016, Gödel's Disjunction: The scope and limits of mathematical knowledge. Horsten, L. & Welch, P. (eds.). Oxford University Press, p. 1-15 15 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence

    Fortunati, A. & Wiggins, S., 15 Jun 2016, Essays in Mathematics and its Applications: In Honor of Vladimir Arnold. Rassias, T. M. & Pardalos, P. M. (eds.). Cham: Springer International Publishing AG, Vol. 9783319313368. p. 89-99 11 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    1 Citation (Scopus)

  • Van der Corput and Golden Ratio sequences along the Hilbert space filling curve

    Schretter, C., He, Z., Gerber, M., Chopin, N. & Niederreiter, H., 2016, Monte Carlo and Quasi-Monte Carlo Methods: MCQMC, Leuven, Belgium, April 2014. Springer International Publishing AG, (Springer Proceedings in Mathematics & Statistics).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    6 Citations (Scopus)

  • Whitham Modulation Equations and Application to Small Dispersion Asymptotics and Long Time Asymptotics of Nonlinear Dispersive Equations

    Grava, T., 2016, Rogue and Shock Waves in Nonlinear Dispersive Media. Onorato, M., Resitori, S. & Baronio, F. (eds.). Springer, p. 309-335 27 p. (Lecture Notes in Physics; vol. 926).

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    6 Citations (Scopus)
    468 Downloads (Pure)
  • 2015

    Contemporary developments in statistical software for social scientists

    Lambert, P. S., Browne, W. & michaelides, D., 2015, Innovations in Digital Research Methods. SAGE Publications Ltd, p. 143-160

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Covariance Weighted Procrustes Analysis

    Brignell, C. J., Dryden, I. & Browne, W., 2015, Riemannian Computing in Computer Vision. Springer, p. 189-209

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    4 Citations (Scopus)

  • Explicit formulae in probability and in statistical physics

    Tourigny, Y. & Comtet, A., 7 Sept 2015, In Memoriam Marc Yor--Seminaire de Probabilites XLVII: Lecture Notes in Mathematics. Donati-Martin, C. & Rouault, A. (eds.). Springer, Vol. 2137. p. 505-519 15 p. (Lecture Notes in Mathematics).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    3 Citations (Scopus)
    401 Downloads (Pure)

  • Introduction

    Fujimoto, K., Achourioti, T., Martinez-Fernandez, J. & Galinon, H., 2015, Unifying the Philosophy of Truth. Springer

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • MAD-Bayes matching and alignment for labelled and unlabelled configurations

    Green, P., Oct 2015, Geometry driven statistics. Dryden, I. & Kent, J. (eds.). Chichester: John Wiley & Sons, Inc, p. 377 390 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    3 Citations (Scopus)

  • Moments of zeta and correlations of divisor-sums: II

    Conrey, B. & Keating, J. P., 2015, Fields Institute Communications. Springer, New York, NY, Vol. 77. p. 75-85 11 p. (Fields Institute Communications; vol. 77).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    23 Citations (Scopus)

  • Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

    van den Berg, M., Buttazzo, G. & Velichkov, B., 18 Nov 2015, New Trends in Shape Optimization. Pratelli, A. & Leugering, G. (eds.). Springer, p. 19-41 23 p. (International Series of Numerical Mathematics; vol. 166).

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    19 Citations (Scopus)
    332 Downloads (Pure)

  • Populations in Statistical Genetic Modelling and Inference

    Lawson, D. J., Mar 2015, Population in the Human Sciences: Concepts, Methods, Evidence. 1 ed. Oxford: Oxford University Press, p. 108-130 22 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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    3 Citations (Scopus)
    363 Downloads (Pure)

  • Statistical modelling of climate change

    Powell, B., 14 Oct 2015, Climate Change: Observed Impacts on Planet Earth. Letcher, T. (ed.).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Stochastic Bäcklund Transformations

    O'Connell, N., 2015, In Memoriam Marc Yor - Séminaire de Probabilités XLVII. Donati-Martin, C., Lejay, A. & Rouault, A. (eds.). Cham: Springer International Publishing AG, p. 467-496 30 p. (Lecture Notes in Mathematics; vol. 2137).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    1 Citation (Scopus)
  • 2014

    Complexity Measures and Physical Principles

    Wiesner, K., 2014, Interdisciplinary Symposium on Complex Systems. Springer, p. 15-20 ( Emergence, Complexity and Computation).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • Singular del Pezzo fibrations and birational rigidity

    Ahmadinezhad, H., 2014, Lecture Notes in Mathematics: Automorphisms in Birational and Affine Geometry. Springer, p. 3-15

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

    4 Citations (Scopus)

  • Whittaker functions and related stochastic processes

    O'Connell, N., 2014, MSRI Publications: Random Matrix Theory, Interacting Particle Systems and Integrable Systems. Deift, P. & Forrester, P. (eds.). Cambridge University Press, Vol. 65. p. 385-409

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • 2013

    Landslide and avalanche hazard

    Hincks, T. K., Aspinall, W. P., Sparks, R. S. J., Holcombe, E. A. & Kern, M., 2013, Risk and Uncertainty Assessment of Natural Hazards. Rougier, J., Sparks, R. S. J. & Hill, L. (eds.). Cambridge University Press, p. 275-316

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  • 2012

    Nodal domains on graphs;how to count them and why?

    Band, R., Oren, I. & Smilansky, U., 2012, Analysis on Graphs and its Applications. Exner, P., Keating, J. P., Kuchning, P., Sunada, T. & Teplyaev, A. (eds.). American Mathematical Society, Vol. 77. p. 5 - 27 23 p.

    Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book