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Ben Allanach's Homepage
www.damtp.cam.ac.uk/user/bca20/index.html8 Jul 2024: Research. I'm Principal Investigator on our STFC Consolidated HEP theory grant: £2.3m ST/T000694/1 (1/10/20-30/9/24) and £2.2m ST/X000664/1 ... 20 Oct 2022: RD/RD interview in CERN Courier. -
Anders Hansen - Applied Functional and Harmonic Analysis
www.damtp.cam.ac.uk/research/afha/anders/8 Jul 2024: Speaking (online) at XAI: Explaining what goes on inside DNN/AI (Oct 20, 2020). ... Speaking at Imperial College/University College London, Numerical Analysis Seminar (Feb. 20 2019). -
3 The Formalism of Quantum Mechanics In the previous ...
www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf26 Jun 2024: commutation relations (3.17) tell us that. [x̂, p̂] = i (3.20). ... Because. it follows purely from (3.20), any operators that obey the same commutation relation. -
Eric Lauga - People
www.damtp.cam.ac.uk/user/lauga/people.html4 Jul 2024: Alex Chamolly ('16-'20) - now postdoc, ENS Paris and Institut Pasteur [Favourite movie: The Silence of the Lambs]. ... Weida Liao ('20) - from Trinity College, Cambridge [Favourite movie: Singin' in the Rain]. -
Stephen J. Cowley: University Committees
www.damtp.cam.ac.uk/user/sjc1/Council/Committees.html8 Jun 2024: 01/01/17-. 31/12/20. , also. 01/01/07-. 31/12/14). ;. the Nominating Committee for External Members of the Council. ... 01/10/22-. 31/12/23. and. 01/01/16-. 31/12/17. , co-opted. 01/01/18-. 31/12/20. and. 01/01/08-. -
John Hinch - Homepage
www.damtp.cam.ac.uk/user/hinch/publications/index.shtml10 Jun 2024: Fluids 20, S22-S30. Hinch, E.J. 1977 An averaged-equation approach to particle interactions in a fluid suspension J. ... Fluids 20, 023302 (9 pages). Chiu-Webster, S, Hinch, E.J. and Lister, J.R. -
Robert Jack's homepage
www.damtp.cam.ac.uk/user/rlj22/pub.html3 Jul 2024: 20. , 2060 (2024). [DOI]. Partial and complete wetting of droplets of active Brownian particles, arXiv:2310.07531. ... 20] R. L. Jack and P. Sollich, J. Stat. Mech. (2009), P11011. -
Publications | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/publ.html20 May 2024: 2023) Wormhole Model for Neon-20' arXiv:2303.15567. ... Quantum Grav. 20, 3427-3440. Dunajski, M. and Mason, L.J. (2003) Twistor theory of hyper-K{"a}hler metrics with hidden symmetries', J. -
Peter Haynes: Publications
www.damtp.cam.ac.uk/user/phh/pubs.html22 Apr 2024: Nonlin. Processes Geophys., 20, 239-248. Haynes, P.H., 2013: Transport in geophysical fluids -- overview. ... Phys. Fluids, 19, 067101. (20 pages). Tzella, A., and Haynes, P.H., 2007: Small-scale spatial structure in plankton distributions. -
Statistical Field Theory: Example Sheet 3 David Tong, November ...
www.damtp.cam.ac.uk/user/tong/sft/99c.pdf12 Apr 2024: 2(ϕ)2 λ0 ζβ. 20/4π cos(β0ϕ. ). Hence show that the cos(βϕ) potential is relevant when β20 < 8π and irrelevant when. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/one.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. -
List of publications H.K. Moffatt May 24, 2024 Curriculum ...
www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf18 Jun 2024: PDF. 163. Moffatt, H. K. 2007c Professor D. Howell Peregrine - 30 December 1938 - 20 March 2007.Obituary. ... 442, pp. 29–35. Springer. Symposium in Honour ofProfessor Jean-Pierre Guiraud, Université Pierre et Marie Curie, Paris, France, 20–22 -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics4.pdf2 Jul 2024: We define the Rabi frequency as. = eE0 h 1|x| 2i (4.20). ... However, the Rabi frequency is proportional to the. amplitude of the electric field (4.20). -
4 The Integral Theorems The fundamental theorem of calculus ...
www.damtp.cam.ac.uk/user/tong/vc/vc4.pdf12 Jun 2024: solve this in conjunction with (4.20) but here it will turn out, somewhat fortuitously,. ... that if we just find the obvious solution to (4.20) then it solves rB = 0 automatically. -
4 A Quantum Particle in Three Dimensions We will ...
www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf26 Jun 2024: wavefunction as. (r) = rR(r) (4.20). Then, written in terms of the new function (r), the Schrödinger equation takes the. ... additional = 0 node. In Figure 20 we’ve fixed the energy level to n = 4 and plotted. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel7.pdf26 Jun 2024: in Figure 20. In the rest of this section, we will describe the basics of neutrino masses. ... As we saw in. Section 5, we label the three generations of leptons as (5.20),. -
Hyper-Kähler metrics from isomonodromy
www.damtp.cam.ac.uk/user/tjahm2/GlasgowTalk.pdf15 Apr 2024: Recall thefamily of metrics. g = eijhi v j (20). Choose eij = ωij, the pull-back of the natural symplectic formω on M (affine symplectic fibration). -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf26 Jun 2024: 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. ... tem in Nature are described by the Hamiltonian (2.20). (There are exceptions. -
Koop_italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Koopman_workshop_mjc.pdf20 May 2024: University of Cambridge. 20/05/2024 • C., Townsend, “Rigorous data-driven computation of spectral properties of Koopman. ... Slide 20: Residual DMD. Slide 21: ResDMD: Avoiding the dangers. Slide 22: ResDMD: Avoiding the dangers. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf26 Jun 2024: story for leptons? We decompose the left-handed leptons as (5.20). LiL=. ( ... i. L. (6.20). Each of these currents is diagonal in flavour, but this is before we do the rotation (6.9). -
5. When Gravity is Weak The elegance of the ...
www.damtp.cam.ac.uk/user/tong/gr/five.pdf31 May 2024: Hµ! Hµ i (kµ kµ kµ) (5.20). Polarisation matrices that dier in this way describe the same gravitational wave. ... We’re left withZ. d3x0 T ij(x0, t) =1. 2@20. Z. d3x0 T 00(x0, t)x0ix0j. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm1.pdf26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. -
Computational Projects Lecture 3: Numbers and numerical errors…
www.damtp.cam.ac.uk/user/rlj22/catam/L3-errors.pdf30 Apr 2024: Bits. On 64-bit architectures, we are basically ok for integers of up to 20 digits (in decimal notation). -
CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…
www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf11 May 2024: 20. M.J. Colbrook, Z.I. Botev, K. Kuritz, S. MacNamara, Kernel density estimation with linked boundary conditions,Studies in Applied Mathematics, 2020. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf26 Jun 2024: re-purpose it to describe atomic reactions like (2.20) (and, later, nuclear reactions). ... will understand recombination and the atomic reaction (2.20). We consider non-relativistic particles, with energy. -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. ... 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. -
Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf12 Jun 2024: fixed. – 20 –. For scalar fields (x, y, z) in R3, the gradient is. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 Jun 2024: action from (8.19). Se =. Zd3x. g2. 82(@µ). 2 KeSmono cos(2) (8.20). ... our eective action (8.20). This means that the vacuum does not support a constant,. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/sft/sft.pdf12 Apr 2024: 1.2.4 A First Look at Universality 20. 1.3 Landau-Ginzburg Theory 22. ... χ 1|T Tc|. (1.20). We’ll see the relevance of this shortly. -
Two parabolic contact geometries in five dimensions
www.damtp.cam.ac.uk/user/tjahm2/GeiloTalk.pdf10 Apr 2024: Hom(Λ1H Λ2H) rank : 4 5 = 20. but integrability of P,V further reduces the rank of thebundle in which the torsion lies to 16. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/relativity/dynrel.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. ... 22 x. 23, from which we can. – 20 –. compute r/xi = xi/r for i = 1, 2, 3. -
Limits and Powers of Koopman LearningMatthew J. Colbrook* Igor ...
www.damtp.cam.ac.uk/user/mjc249/pdfs/Koopman_foundations.pdf8 Jul 2024: 16, 17, 18, 19, 20] for avery small sample. -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf26 Jun 2024: conditions, Sθ can only take values of the form. Sθ = θN with N Z (1.20). ... 22cNe2. Sθ = θN with N = nn′ Z. which is our promised result (1.20). -
3. Anomalies We learn as undergraduates that particles come ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf26 Jun 2024: The. infinitesimal action of the vector rotation! ei is. = i , ̄ = i (3.20). ... tions dier. For the vector transformation (3.20), we have = i and ̄ = i ̄.This extra minus sign means that the Jacobian factors for and ̄ have the form. -
E.J.Hinch, 12 March 2024 Publications by E.J. Hinch 1. ...
www.damtp.cam.ac.uk/user/hinch/publications/pubs.pdf10 Jun 2024: 71, 481–495. 20. Hinch, E.J. 1975 Applications of the Langevin equation to fluid suspensionsJ. ... Fluids 20, 023302(9 pages). 119. Chiu-Webster, S., Hinch, E.J. & Lister, J.R. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/two.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. ... 23, from which we can. – 20 –. compute @r/@xi = xi/r for i = 1, 2, 3. -
Convergence analysis of oversampled collocation boundary element…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf1 May 2024: s2αs‖uχN‖r2α‖‖u(M)N χN‖s2α+ Er,s(M )‖V‖r2αr‖V‖s2αs‖uχN‖s2α‖‖u(M)N χN‖r2α. (20). ... 20) any term of the form ‖u χN‖t has t 0 (by virtue ofr,s 1 = 2α). -
BMC_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf18 Jun 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf2 Jul 2024: x0 = E/C. The asymptotic behaviour (2.19) and (2.20) is exactly what we need to. ... totic form of the Airy function (2.20) is given by. Ai(x). -
PUBLICATION LIST -- J
www.damtp.cam.ac.uk/user/tsm/jrw_publist1.pdf3 Jun 2024: Electrostatics”, SIAM J. Math. Anal. 20 (1989) 1283-1292. 94. M. Cancurtaran, G. ... with a transformation invariant form”. New J. Physics 8 (2006), 248 (20 pages). -
italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Operator_learning.pdf11 May 2024: 11:00-11:20 : Diana HalikiasElliptic PDE Learning Is Provably Data-Efficient. • 15:45-16:05 : Samuel Otto Operator learning without the adjoint. • -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf2 Jul 2024: 2, 1)1/2 (5.20). where, again, the labelling is premature and should be taken with a grain of salt before. ... components of these doublets. We write. QL =. uL. dL! and LL =. L. eL! (5.77). (We already introduced these names in (5.18) and (5.20) although, -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/four.pdf3 Jul 2024: attractive or repulsive). – 63 –. bb. Figure 20:. Firstly, by energy conservation, the speed of the particle at the end of its trajectory. ... negligible. But, from (4.20), we see that, regardless of the initial velocity v, if you fire. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 Jun 2024: the emitted light,. 0 =a(t0). a(t1)1 =. 1. a(t1)(1.20). This is intuitive: the light is stretched by the expansion of space as it travels through. ... long journey. If they are emitted with frequency 1 then, from (1.20), they arrive with. -
5. Chiral Symmetry Breaking In this section, we discuss ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf26 Jun 2024: This is achieved by the so-called hedgehog ansatz,. USkyrme(x) = exp (if(r) x̂) = cos f(r) i x̂ sin f(r) (5.20). ... a spatial and flavour rotation. The subgroup of (5.21) which acts non-trivially on the Skyrmion solution (5.20). -
Preprint typeset in JHEP style - PAPER VERSION June ...
www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf31 May 2024: original ones, allowing us to define three matrices Ji,. η̄iµν δβAν = (Ji)αβ [δαAµ] (1.20). ... 20 –. of the D(p 4)-brane [3, 5]. They are the same object! -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/gr.pdf31 May 2024: which it couples to the new term Aµ(x). It’s simple to check that the action (1.20). ... 1.20) is determined by the Maxwell equation. We will describe the Einstein equations. -
G-Adaptive mesh refinement - leveraging graphneural networks and…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf11 Jun 2024: Such methods offer certain advantages (forexample in high dimensional settings [20]), but are typically outperformed by traditional numericalmethods in accuracy in most settings [17]. ... 20] J. Han, A. Jentzen, and W. E. Solving high-dimensional partial -
Koopman_turing_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf23 May 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”.
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