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  2. MUST

    www.damtp.cam.ac.uk/research/env/must/content/index.html
    16 Dec 2019: Search site. The Mathematical Underpinnings of Stratified Turbulence. The fluid mechanics groups in applied mathematics at Bristol and Cambridge have joined together in major new £2.3M project funded by an
  3. Dr Matthew Wingate - Teaching

    www.damtp.cam.ac.uk/user/wingate/teach.html
    26 Jan 2019: 2015-16: Tensor Renormalization Group -- typo in Ref [5] fixed. 2013-14: Flavour Constraints on New Physics.
  4. Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/lectures/trends2018/index.html
    10 Dec 2019: The use of deep learning in inverse problems is a rather new concept, and the community has just started investigating the many possibilities.
  5. David Skinner -- Mathematical Methods -- University of Cambridge

    www.damtp.cam.ac.uk/user/dbs26/1Bmethods.html
    23 Nov 2019: I've greatly enjoyed reading both Korner's Fourier Analysis and Olver's new book Introduction to Partial Differential Equations while preparing these notes, but they are slightly more advanced.
  6. Bogdan Roman - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/bogdan/
    6 Nov 2019: Alternative solutions, extensions or new questions for any of the above are very welcome. ... Publications. B. Adcock, A. C. Hansen, C. Poon, B. Roman, Breaking the coherence barrier: A new theory for compressed sensing, Sigma, 2017.
  7. Keeping Cambridge Special The new local plan for Cambridge ...

    www.damtp.cam.ac.uk/user/pvl/programme_28.9.19.pdf
    3 Nov 2019: Keeping Cambridge Special The new local plan for Cambridge and South Cambs:.
  8. Course: Contemporary Sampling and Compressed Sensing - Applied…

    www.damtp.cam.ac.uk/research/afha/lectures/cs.1.html
    10 Dec 2019: Search. AFHA. DAMTP. All Maths. Course: Contemporary Sampling and Compressed Sensing.. Contemporary sampling techniques and compressed sensing (Part III course). Lecturers: Anders Hansen and Bogdan Roman. Time, location: Tue & Thu 11am, MR11.
  9. Action Principles

    www.damtp.cam.ac.uk/user/examples/A11Lh.pdf
    22 May 2019:  G. Fraser, (ed.) The New Physics: For the Twenty-first Century, Cambridge UP, (2009), chaps. ... Barrow, New Theories of Everything, Oxford UP, (2008).  S.L. Boersma, A maritime analogy of the Casimir effect, American J.
  10. @article{taylor2016new title={A new method for isolating turbulent…

    www.damtp.cam.ac.uk/research/env/must/content/showbibTex.php%3Fkey=taylor2016new.html
    16 Dec 2019: article{taylor2016new. title={A new method for isolating turbulent states in transitional stratified plane Couette flow}.
  11. A New Class of Algorithms for Computing Spectra with Error Control

    www.damtp.cam.ac.uk/user/mjc249/talks/SIAM_pres%20_mcolbrook.pdf
    21 Aug 2019: A New Class of Algorithms for Computing Spectra withError Control. Matthew Colbrook.
  12. Action Principles

    www.damtp.cam.ac.uk/user/examples/A11Lc.pdf
    1 May 2019: Newtonian Mechanics – the old way. A New Perspective on Motion.
  13. PowerPoint Presentation

    www.damtp.cam.ac.uk/user/examples/A11Le.pdf
    8 May 2019: How can you solve 1024 equations at once? Use a statistical approach with three new concepts:.
  14. New Developments in Massive Gravity

    www.damtp.cam.ac.uk/research/hep/files/conferences/branes/pkt_talks/bergshoeff.pdf
    6 Feb 2019: Conclusions. Outline. Introduction. Introduction 3D New Massive Gravity Critical Gravity Beyond Three Dimensions? ... m = 0Curtright (1980). Introduction 3D New Massive Gravity Critical Gravity Beyond Three Dimensions?
  15. 1 Stephanie S.M.H. Höhn Dept. of Applied Mathematics and ...

    www.damtp.cam.ac.uk/user/sh753/pdfs/Hoehn_CV_2019_09.pdf
    18 Sep 2019: 2014 Award for Best Talk, New Postdoc Symposium, DAMTP, CMS, Cambridge, UK.
  16. Introduction to Optimal Transport Matthew Thorpe Office: F2.08Email:…

    www.damtp.cam.ac.uk/research/cia/files/teaching/Optimal_Transport_Syllabus.pdf
    26 Feb 2019: Other good references areVillani’s ‘other’ book Optimal Transport Old and New, Santambrogio’s book Optimal Transportfor Applied Mathematicians, and Ambrosio, Gigli and Savaré’s book Gradient Flows in MetricSpaces and
  17. On Instabilities of Deep Learningin Image Reconstruction Part II ...

    www.damtp.cam.ac.uk/user/mjc249/talks/Newton_talk_mjc.pdf
    10 Jun 2019: Numerical Example. Figure: Stability test for new networks. Top row: original image withperturbations.
  18. The Foundations of Infinite-Dimensional Spectral Computations-8mm

    www.damtp.cam.ac.uk/user/mjc249/talks/mjc_CAT4.pdf
    9 Dec 2019: New exemplar of spectral computation. Method is:. Local and parallelisable. Convergent for first time. ... Results in this talk:. Can compute spectra of a large class of operators with error control.New algorithm is fast, local and parallelisable.
  19. Inverse Problems (M24) Hanne Kekkonen & Yury Korolev Inverse ...

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2019/DescriptionInverse.pdf
    10 Oct 2019: Applied Mathematical Sciences, Springer New York, 2008, ISBN:9780387309316. 3. M. Dashti and A.M.
  20. Inverse Problems (L24) Matthias Ehrhardt & Lukas Lang Solving ...

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_Lent_2018/CourseDescription.pdf
    16 Jul 2019: Lenzen. VariationalMethods in Imaging. Applied Mathematical Sciences, Springer New York, 2008, ISBN:9780387309316.
  21. 3 The Harmonic Oscillator I now want to use ...

    www.damtp.cam.ac.uk/user/dbs26/PQM/chap3.pdf
    18 Oct 2019: learn new things about harmonic oscillators; indeed, we’ll mostly just recover results you’ve. ... of N. – 18 –. Whenever we’re presented with some new operators, the first thing to do is to work.
  22. Spectral analysis and new resolvent based methods

    www.damtp.cam.ac.uk/user/mjc249/talks/SCI_colbrook_washington_talk.pdf
    2 May 2019: Construction of towers of algorithms give us info on assumptionsneeded to lower SCI new algorithms.Crucial in rigorous numerical analysis to understand the differencebetween 1, Σ1 and 2. ... Construction of towers of algorithms give us info on
  23. Jerome A. NeufeldBP Institute, Bullard Laboratories,Madingley Road,…

    www.damtp.cam.ac.uk/user/jneufeld/JANeufeld_CV.pdf
    6 May 2019: Education. 05/2008 Ph.D. Geophysics, Yale University, New Haven, USA. 05/2004 M.Phil. ... Geophysics, Yale University, New Haven, USA. 08/2002 M.Sc. Physics, University of Toronto, Toronto, Canada.
  24. Department of Applied Mathematicsand Theoretical PhysicsHanne…

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_2019/example_sheet_3.pdf
    27 Nov 2019: We define the cumulative distribution function. Φ(t) =. t. π(v)dv. Define a new random variable T = Φ(V ). Show that T U([0, 1]). Exercise 5 (Hyperpriors)Assume that
  25. BAYESIAN INVERSE PROBLEMS – EXAMPLES 1 Lent 2019Please email ...

    www.damtp.cam.ac.uk/research/cia/files/teaching/Bayesian_Inverse_Problems_Lent_2019/ExampleSheet1.pdf
    16 Jul 2019: We define the cumulative distribution function. Φ(t) =. t. π(x)dx. Define a new random variable y = Φ(x).
  26. Inverse Problems in Imaging (M16) Yury Korolev Inverse problems ...

    www.damtp.cam.ac.uk/research/cia/files/teaching/Inverse_Problems_Michaelmas_2018/Course_Description.pdf
    16 Jul 2019: Applied Mathematical Sciences, Springer New York, 2008, ISBN:9780387309316. 3. A. Chambolle, T.
  27. Highly oscillatory time-dependent trapped wave equation Marissa…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2019_02.pdf
    29 Jan 2019: January 22, 2019. Abstract. We explore a new asymptotic-numerical solver for the time-dependent waveequation with an interaction term that is oscillating in time with a very highfrequency. ... Using these new schemes, highaccuracy is achieved at a low
  28. Exact Coherent States: Theory &Methods Rich Kerswell Lectures 1…

    www.damtp.cam.ac.uk/user/rrk26/Udine_LT12_RRK.pdf
    2 Jun 2019: Each ofthese leads to a new type of exact solution to the governing equations. ... iv) Flows where the base flow becomes linearly unstable offer a natural beechheadto find new attractors.
  29. Exact Coherent States: VariationalMethods Rich Kerswell Lectures 5…

    www.damtp.cam.ac.uk/user/rrk26/Udine_LT56_RRK.pdf
    2 Jun 2019: is set by insuring that the new initial condition x2(0) still has theinitial energy E0: see step 4 above). ... Beyond a certain E0, a new optimal is selected whichis 3D and localized in both the radius and azimuth - see figure 12 below (it is
  30. 6 Addition of Angular Momentum Back in section 2.3.1, ...

    www.damtp.cam.ac.uk/user/dbs26/PQM/chap6.pdf
    23 Nov 2019: momentum. Applying such an operator to a state yields a new state whose total angular. ... 6.78). in terms of a0. Let’s define a new operator A by.
  31. Action Principles

    www.damtp.cam.ac.uk/user/examples/A11Lb.pdf
    29 Apr 2019: Maximum force conjectures.  Forming Planck units can yield new fundamental insights when they are non-quantum. ... movie of the first atomic bomb explosion,. which took place in the New Mexico desert.
  32. PowerPoint Presentation

    www.damtp.cam.ac.uk/user/examples/A11Lf.pdf
    15 May 2019: What is this strange new constant ? (see next lecture). Karl Schwarzschild’s solution. ... Further reading A. Einstein The Meaning of General Relativity, Methuen, 1955, new pbk edn by Routledge 2003.
  33. Do stable networks with recovery guarantees exist? Can compressed ...

    www.damtp.cam.ac.uk/user/mjc249/talks/Grenoble_talk_mjc.pdf
    12 Jul 2019: Numerical Example. Figure: Stability test for new networks. Top row: original image withperturbations.
  34. Slide 1

    www.damtp.cam.ac.uk/user/examples/A11Lg.pdf
    15 May 2019: Every solution of GR is an entire Universe. A New Piece of Gravity.
  35. Cop yrig ht © 201 9 U nive rsity ...

    www.damtp.cam.ac.uk/user/examples/3R1b.pdf
    5 Nov 2019: in the new basis are related to its components in the old basis by.
  36. Exact Coherent States: Importance &Identification Rich Kerswell…

    www.damtp.cam.ac.uk/user/rrk26/Udine_LT34_RRK.pdf
    2 Jun 2019: 6. new pair of initial conditions as follows. ( u(n1)0 ,u. ... Thus it was the first demonstration of multiple edge states. Secondly, therealisation that such ‘highly symmetric’ TWs could exist led to whole new families ofTWs being quickly discovered
  37. The Unified TransformA New Tool for Scattering Problems Matthew ...

    www.damtp.cam.ac.uk/user/mjc249/talks/Waves_talk2.pdf
    30 Apr 2019: The Unified TransformA New Tool for Scattering Problems. Matthew ColbrookDAMTP, University of Cambridge.
  38. 8 Perturbation Theory I: Time Independent Case We’ve now ...

    www.damtp.cam.ac.uk/user/dbs26/PQM/chap8.pdf
    23 Nov 2019: magnets. The dipole moment me of the electron sits inside this field, leading to a new. ... adjusts to the new minimum of the potential. However, if the marble initially lies at rest.
  39. A family of orthogonal rational functions and other orthogonal ...

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2019_03.pdf
    6 Feb 2019: Christov 1982) and the following is apparently new,. 4i. 1 4x2ϕn(x) = ϕn1(x) 2ϕn(x) ϕn1(x), n Z. ... American Mathematical Society, Colloquium Publications,Vol. XXIII. Takenaka, S. (1926), ‘On the orthogonal functions and a new formula of
  40. Euro.key

    www.damtp.cam.ac.uk/research/hep/files/conferences/EurostringTalks/Stieberger.pdf
    6 Feb 2019: beyond KLT). new string duality(to all orders in i.e. beyond BPS). ... New kind of duality relating amplitudes involving full tower of massive string excitations.
  41. 10 Interpreting Quantum Mechanics In this final chapter, I ...

    www.damtp.cam.ac.uk/user/dbs26/PQM/chap10.pdf
    6 Dec 2019: tion12. (|〉|〉 |〉|〉) |〉|〉. apparently confirms this suspicion. Since relativity forbids news of Alice’s work on the. ... Experimental Realization of the Einstein–Podolski–Rosen–Bohm. Gedankenexperiment: A New Violation of Bell’s
  42. 5 Angular Momentum In the previous chapter we obtained ...

    www.damtp.cam.ac.uk/user/dbs26/PQM/chap5.pdf
    23 Nov 2019: g) =. eiβ(g)U(g) which obeys our original condition (4.7). By agreeing to work with the new. ... pected sign is the non-trivial topology of the rotation group – in our new terminology,.
  43. Static and dynamic fluid-driven fracturing of adhered elastica

    www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Ball-2018a.pdf
    6 May 2019: In addition, the treatment of using thin elastica coupledwith an adhesive sheet has provided a simple, new approach to understanding fluid-driven fracturing. ... Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959).[24] D.
  44. Nonlinear systems for unconventional computing Kirill P. Kalinin and…

    www.damtp.cam.ac.uk/user/ngb23/publications/unconventional.pdf
    26 Nov 2019: 4 Kirill P. Kalinin and Natalia G. Berloff. Real-life optimisation. problem: planning, logistics, new materials, AI,. ... the dynamic analysis of financial mar-kets, the prediction of new chemical materials, and machine learning [15].
  45. Fast computation of orthogonal systems with a skew-symmetric…

    www.damtp.cam.ac.uk/user/na/NA_papers/NA2019_01.pdf
    24 Jan 2019: In Fourier space these orthogonal systems arerelated to an apparently new generalisation of the Carlitz polynomials. ... Thepurpose of the paper is to present a range of new results that improve our knowledgeof approximation on the real line in the
  46. The unified transform for mixed boundary condition problems in…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/UT_unbounded_domains_mjc.pdf
    27 Apr 2019: Such problems arise frequently in acousticscattering or in the calculation of electric fields ingeometries involving finite and/or multiple plates.The new approach constructs a global relation thatrelates known boundary data, ... These examples
  47. MNRAS 467, 2421–2429 (2017) doi:10.1093/mnras/stx261Advance Access…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/MNRAS_diffusion_scaling_mjc.pdf
    27 Apr 2019: M., 2008, Anomalous Transport: Founda-tions and Applications. John Wiley & Sons, New York. ... Am. Inst. Phys., New York, p. 421. Kowal G., Lazarian A., 2007b, BAAS, 39, 984Kritsuk A.
  48. NON-UNIFORM RECOVERY GUARANTEES FOR BINARY MEASUREMENTS…

    www.damtp.cam.ac.uk/research/afha/anders/main_Thesing.pdf
    30 Aug 2019: HANSEN. The new system still obeys the MRA hence the boundary wavelets can be deduced from the boundary cor-rected scaling functions.
  49. What do AI algorithms actually learn? – On false ...

    www.damtp.cam.ac.uk/research/afha/anders/False_Structures_DL.pdf
    4 Jun 2019: Seidel. New barriers in complexitytheory: On the solvability complexity index and the towers of algorithms. ... Shub, and S. Smale. Complexity and Real Computation. Springer-Verlag New York, Inc., Secaucus, NJ, USA, 1998.
  50. J. Fluid Mech. (2018), vol. 837, pp. 520–545. c� ...

    www.damtp.cam.ac.uk/user/jneufeld/pubfiles/Nijjer-2018a.pdf
    6 May 2019: Finally, we identify a new final exchange-flow regime in which apair of counter-propagating diffusive fingers slow exponentially. ... Finally, in 6, we discuss thelate-time behaviour, for which we derive an analytic solution for the new
  51. A Life in Mathematical Science Part I: Growing-Up, Student ...

    www.damtp.cam.ac.uk/user/nsm10/NSMbioV2.pdf
    4 Nov 2019: sisters escaped from Lida to New York, but her parents and other sister perished,and she never forgave the Germans. ... The colourful flags were replaced by a. 9. new series of black and white Beatles cards around 1963.

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