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  2. Ben Allanach's Homepage

    www.damtp.cam.ac.uk/user/bca20/index.html
    29 Apr 2024: Rencontres de Moriond: Weak interactions and unified theories, La Thuile, Italy, Mar 24-31, 2024. ... 23 Mar 24 11am, talk for Cambridge Festival at INI: The Force Awakens: Quantum Collisions.
  3. Anders Hansen - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/anders/
    13 Jun 2024: J. Amer. Math. Soc. 24, no. 1, 81-124. J. Ben-Artzi, M. ... J. Amer. Math. Soc. 24, no. 1, 81-124. A. C. Hansen, J.
  4. List of publications H.K. Moffatt May 24, 2024 Curriculum ...

    www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf
    18 Jun 2024: Fluid Dyn. 24 (1-4, SI), 209–215. PDF. 2009. 169. Moffatt, H. ... PDF. 4. Publications: H.K.Moffatt May 24, 2024. 167. Moffatt, H. K. &
  5. Course: Numerical Analysis - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/lectures/NST_1A/
    3 Apr 2024: Time: T,Th,Sat 9am. This is a Part IA course in Mathematical Methods given in Michaelmas term 2023 that contains 24 lectures.
  6. Rich Kerswell

    www.damtp.cam.ac.uk/user/rrk26/
    14 Jun 2024: Draft lectures on Exact Coherent Structures:Recent Meetings. Isaac Newton Institute Mathematical Aspects of Turbulence: Where Do We Stand?'', Jan 4-June 24, 2022, Cambridge, UK.
  7. 8 Jun 2024: 2.24. To worship gods that are not yours, that is toadyism.
  8. Stephen J. Cowley: University Committees

    www.damtp.cam.ac.uk/user/sjc1/Council/Committees.html
    8 Jun 2024: 01/01/17-. 31/12/20). ;. the Governance Review Working Group. (24/04/17-. 31/12/20. );. the Pensions Advisory Group. (May 2017 - December 2020, also October 2010 - December 2014). ... elected. 01/01/24-. 31/12/27 and. 01/01/11-. 31/12/14. , co-opted.
  9. Upcoming Talks (up to Aug 2022)

    www.damtp.cam.ac.uk/user/mjc249/Talks.html
    18 Jun 2024: FoCM 2023. (Sorbonne University, Paris. 24 May 2023. Avoiding discretization issues for nonlinear eigenvalue problems. ... Analysis & PDE Seminar. (Cardiff University. 24 March 2022. Koopman operators and the computation of spectral properties in
  10. University of Cambridge, DAMTP: Goldstein Lab

    www.damtp.cam.ac.uk/user/gold/lectures.html
    22 May 2024: Department of Applied Mathematics. and Theoretical Physics. Goldstein Lab. Lectures, Programmes, etc. Audio/Videos of Recent Presentations. Conferences, Colloquia, and Seminars. Seminar, CENTURI, Turing Centre for Living Systems, Marseille, France,
  11. Duncan Hewitt

    www.damtp.cam.ac.uk/user/drh39/
    16 Jan 2024: Teaching. 2023-24: Lecturer for NST IA Mathematical Methods II ('A' course) in Lent term.
  12. Lectures: Ben Allanach

    www.damtp.cam.ac.uk/user/bca20/teaching.html
    22 Apr 2024: It is a similar course, although because the lectures were longer in duration, he gave 14 rather than 24.
  13. 17 Jan 2024: Roughly pages 18-24 of the printed notes. More on canonical quantization, including normal ordering, the vacuum and the interpretation of particles.
  14. 26 Jun 2024: 2.1.2 The Infinite Potential Well 24. 2.1.3 The Gaussian Wavepacket 27. ... 24 –. easy to deal with. The Schrödinger equation equation is.
  15. Hamza Fawzi - Research

    www.damtp.cam.ac.uk/user/hf323/research.html
    20 Feb 2024: H. Fawzi, O. Fawzi, S. Scalet, Certified algorithms for equilibrium states of local quantum Hamiltonians, QIP'24.
  16. brum_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Edinburgh_mjc.pdf
    21 Mar 2024: orthogonal projection. 24. Convergence theoryKey ingredient: unitary discretization. 25. Spectral measures. ... Slide 19. Slide 20. Slide 21. Slide 22. Slide 23. Slide 24.
  17. italy_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Italy_mpEDMD.pdf
    6 Apr 2024: Slide 23: Convergence of measures. Slide 24: Further convergence. Slide 25: Lorenz system.
  18. BMC_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf
    18 Jun 2024: 𝑒𝑗 𝑒𝑗1. 𝑈 =. Back to the shift! ෍. 24. 0 1. ... Slide 24: Back to the shift! Slide 25: Back to the shift!
  19. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf
    26 Jun 2024: Instead, both (1.23) and (1.24) are best thought of as integrating the 2-form Fµ over. ... Armed with (1.23) and (1.24), we see that, at least for this specific example,.
  20. 11 Mar 2024: The kinematics of hexagonal magnetoconvection. Geo.Astro. Fluid Dyn., 24:109–136, 1983. 24. ... Phys. Fluids, 24,107103, 2012. 1975-1980 1981-1990 1991-2000 2001-2010 2011-2020 2021-2030. 184.
  21. PUBLICATION LIST -- J

    www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf
    3 Jun 2024: Mech. Phys. Solids 24 (1976) 225-238. 43. F. J. Sabina and J. ... Mech. Phys. Solids, 40. (1992) 1671-1681. 126. J. R. Willis, “Asymptotic analysis of crack bridging by ductile fibres”, Composites 24 (1993).
  22. standardmodel

    www.damtp.cam.ac.uk/user/tong/sm/standardmodel3.pdf
    26 Jun 2024: V (r) =g2s. 4rT AcaT? Adb. (3.24). – 99 –. We’ve still got those colour indices to deal with. ... the result (3.24).) Consider the operator. SA = T A(R1) 1 1 T A(R2).
  23. 4. Lattice Gauge Theory Quantum field theory is hard. ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf
    26 Jun 2024: 4.24). with @ = @t @x. The equations of motion tell us @ = @ = 0. ... moving fermion. The chiral symmetry of the action (4.24) means that the left- and right-handed.
  24. How do cicadas emerge together? Thermophysical aspects of their…

    www.damtp.cam.ac.uk/user/gold/pdfs/cicadas.pdf
    1 Feb 2024: Collective behavior via communication [20] is foundin many contexts: bacterial quorum sensing [21], ant foraging[22–24], and bird flocking [25]. ... Acad. Sci. USA 110, 13769 (2013). [24] O. Feinerman, I. Pinkoviezky, A.
  25. Controlling Confined Collective Organization with Taxis

    www.damtp.cam.ac.uk/user/lauga/papers/224.pdf
    21 Mar 2024: Pedley and J. Kessler, Annu. Rev. Fluid Mech. 24, 313(1992). [16] B. ... 24] A. Creppy, F. Plouraboué, O. Praud, X. Druart, S. Cazin, H.Yu, and P.
  26. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: group, means that the theory admits fluxes (8.24) and gauge transformations (8.25). ... a derivative of the Chern-Simons term (2.24). (It also arose in the same context when.
  27. University of Cambridge, DAMTP: Quantum Fluids

    www.damtp.cam.ac.uk/user/ngb23/publications.html
    11 Mar 2024: J. Baumberg, "Coupled counter-rotating polariton condensates in optically defined annular potentials", 111(24):8770-5 Proceedings of National Academy of Siences, USA (2014). ... 1-24, July 1997. Department of Applied Mathematics and Theoretical Physics,
  28. 5. When Gravity is Weak The elegance of the ...

    www.damtp.cam.ac.uk/user/tong/gr/five.pdf
    31 May 2024: 1 1. 2He. i!t. (5.24). where, as we mentioned previously, we should take the real part of the right-hand-side. ... S1(0)2 S2(0)2 = R2. The solutions (5.24) tell us how these geodesics evolve.
  29. CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf
    11 May 2024: 24. M.J. Colbrook, B. Roman, A.C. Hansen, How to compute spectra with error control, Physical Review Letters,2019.Cover highlight for issue.Prizes: Grade 1 Smith–Knight/Rayleigh–Knight
  30. Stochastic Voronoi Tessellations as Models forCellular Neighborhoods…

    www.damtp.cam.ac.uk/user/gold/pdfs/Srinivasan_etal110324.pdf
    11 Mar 2024: 33, 958–972 (1962). [24] P. Rathie, On the volume distribution of the typi-cal Poisson–Delaunay cell, J.
  31. 12 Jun 2024: 1.3.3 An Application: Work and Potential Energy 24. 1.3.4 A Subtlety 25. ... 24 –. We learn that a conservative force, one that can be written as (1.18), has a conserved.
  32. Opto-fluidically multiplexed assembly and micro-robotics

    www.damtp.cam.ac.uk/user/lauga/papers/223.pdf
    28 Feb 2024: With rapid implementation and advanced control,it might be feasible to position one particle every fewmicrometers, which is the typical length scale over whichthe flow fields exhibit significant decay22,24. ... eLight 1, 7 (2021). 24. Liao, W. et al.
  33. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 Jun 2024: The gluon exchange is now. 1N2. (6.24). but there are order N3 triplets of quarks, so again the total amplitude scales as N. ... 6N2. X. i 6=j 6=k. V3(xij, xjk). where xij = xi xj and the coecients in front of the potentials are taken from (6.23)and (6.24
  34. 22 Feb 2024: 22].c Data from Ludeman et al. [24].d Data from Dahihande et al. ... 24]; Amphime-don queenslandica from Sogabe et al. [53]. indicates the hy-pothetical minimum diameter of E.
  35. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf
    26 Jun 2024: Zrmax(t). 0. drp1 kr2/R2. = c a(t). Zt. 0. dt0. a(t0)(1.24). ... Indeed,. mathematically it could be that the integral on the left-hand side of (1.24) does not.
  36. 5. Chiral Symmetry Breaking In this section, we discuss ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf
    26 Jun 2024: For example, we. have. m2K+. m2K0. m2. =mu mdmu md. (5.24). ... corrections, we can generalise (5.24) to. (m2K m2K0) (m2 m20). m20.
  37. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf
    26 Jun 2024: integral as. n 4. (2)3 eµ. Z 1. 0. dp p2ep2/2m =. mkBT. 22. 3/2eµ (2.24). Let’s try to interpret this. Read naively, it seems to tell ... anti-aligned to give 3 dierent spin 1 states. With these two amendments, our expression for the number density (2
  38. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics.
  39. Eric Lauga - Publications

    www.damtp.cam.ac.uk/user/lauga/publications.html
    29 Jun 2024: Lauga and L. Brandt, Phys. Fluids, 24, 051902, 2012. ... 2008. 24. Flapping motion and force generation in a viscoelastic fluid.
  40. 4 A Quantum Particle in Three Dimensions We will ...

    www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf
    26 Jun 2024: 0 for all S(r) and R(r) (4.24). This is clearly satisfied if R and S are finite at the origin.
  41. dynrel

    www.damtp.cam.ac.uk/user/tong/relativity/one.pdf
    27 Jan 2024: 2.3.1 The Gravitational Field 22. 2.3.2 Escape Velocity 24. 2.3.3 Inertial vs Gravitational Mass 25.
  42. 20 Apr 2024: 2.1.2 The Infinite Potential Well 24. 2.1.3 The Gaussian Wavepacket 27.
  43. 31 May 2024: should identify. g00(x) 1. 2(x). c2. (1.24). where (x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential of the kind that we would invoke for.
  44. 2 Jan 2024: 1B), owing to the cell-to-cell variations inmetabolism and the number and morphology of flagella (24).Thanks to the large sample size of our experiments, we are able tomeasure the
  45. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    20 Apr 2024: d2h. dy22ydh. dy+ (Ẽ 1)h = 0 (2.26). You can check that this is indeed satisfied by our earlier solution (2.24) with h = 1. ... We learn that the. Gaussian wavefunction (2.24) that we guessed earlier is actually the lowest energy.
  46. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    31 May 2024: Claim:. d? F =? J , rµF µ = J (3.24).
  47. Biophysical Fluid Dynamics in a Petri Dish George T. ...

    www.damtp.cam.ac.uk/user/gold/pdfs/petridish130224.pdf
    13 Feb 2024: Rotletflows arise from (d) the bacterium Escherichia coli under confinement, generating flow field in (e) [24], (f)a magnetic nano stir bar [25], and (g) a macroscopic stirrer [26]. ... 23 eqs. 29-30. Stokeslet Main text eq. 24 eqs. 32-34.Rotlet Appendix
  48. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 May 2024: 6. Black Holes. Black holes are among the most enigmatic objects in the universe. They are described. by deceptively simple solutions to the Einstein equations, yet hold a host of insights. and surprises, from the meaning of causal structure, to
  49. Koopman_turing_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf
    23 May 2024: 24. Residual DMD (ResDMD).
  50. Koop_italy_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf
    20 May 2024: Slide 23: Example: Verified spectra and modes. Slide 24: Example: Verified dictionary.
  51. Publications | Maciej Dunajski | University of Cambridge

    www.damtp.cam.ac.uk/user/md327/publ.html
    20 May 2024: Asian Journal of Mathematics, Vol. 24, 621-652 pdf file. ... Quantum. Grav. 24, 1841-1862.

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