Results 11 to 20 of about 66,502 (83)

Currents and finite elements as tools for shape space

, 2018
The nonlinear spaces of shapes (unparameterized immersed curves or submanifolds) are of interest for many applications in image analysis, such as the identification of shapes that are similar modulo the action of some group.
Benn, James, Marsland, Stephen, McLachlan, Robert I, Modin, Klas, Verdier, Olivier   +4 more
core   +1 more source

Convergence of vector bundles with metrics of Sasaki-type

, 2011
If a sequence of Riemannian manifolds, $X_i$, converges in the pointed Gromov-Hausdorff sense to a limit space, $X_\infty$, and if $E_i$ are vector bundles over $X_i$ endowed with metrics of Sasaki-type with a uniform upper bound on rank, then a ...
B. Wilking, C.L. Terng, D. Burago, D. Gromoll, E. Boeckx, E. Musso, J. Cheeger, J. Cheeger, J. Cheeger, J. Cheeger, J. Cheeger, J. Cheeger, K. Grove, M. Benyounes, M. Gromov, M. Gromov, M.A. Rieffel, M.T. Anderson, M.T. Anderson, M.T. Kadaoui Abbassi, O. Kowalski, O. Kowalski, P. Petersen, P. Solórzano, P.J. Freyd, Pedro Solórzano, S. Kobayashi, S. Sasaki, T. Shioya, T. Yamaguchi, X. Rong   +30 more
core   +1 more source

Quantum Magnetic Algebra and Magnetic Curvature

, 2003
The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard structure on the Euclidean phase space.
Anderson R F V, Anderson R F V, Bayen F, Berezin F A, Berry M V, Bieliavsky P, Bieliavsky P, Cartan É, Dodonov V V, Dyson F J, Fedosov B, Fock V A, Folland G B, Gracia-Bondia J M, Grossmann A, Hormander L, Karasev M V, Karasev M V, Karasev M V, Karasev M V Osborn T A M A Vasiliev A M Semikhatov V N Zaikin, Kontsevich M, Loos O, M V Karasev, Marinov M S, Maslov V P, Maslov V P, Müller M, Omori H, Rawnsley J, Rieffel M A, Royer A, Schutz B, Stratonovich R L, Stratonovich R L, T A Osborn, Valatin J G, Varilly J C, Weinstein A, Weyl H   +38 more
core   +1 more source

Entropies from coarse-graining: convex polytopes vs. ellipsoids

, 2015
We examine the Boltzmann/Gibbs/Shannon $\mathcal{S}_{BGS}$ and the non-additive Havrda-Charv\'{a}t / Dar\'{o}czy/Cressie-Read/Tsallis \ $\mathcal{S}_q$ \ and the Kaniadakis $\kappa$-entropy \ $\mathcal{S}_\kappa$ \ from the viewpoint of coarse-graining ...
Kalogeropoulos, Nikos
core   +2 more sources

Dynamics of Pure Shape, Relativity and the Problem of Time

, 2003
A new approach to the dynamics of the universe based on work by O Murchadha, Foster, Anderson and the author is presented. The only kinematics presupposed is the spatial geometry needed to define configuration spaces in purely relational terms.
Barbour, Julian
core   +1 more source

Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings

, 2010
Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates.
A Barducci, A Basu, A Calini, A Klotzek, A Neveu, A Sym, A Sym, AI Bobenko, AI Bobenko, AI Bobenko, AI Bobenko, AS Fokas, AS Fokas, B Grossman, B Rosenstein, BG Konopelchenko, BG Konopelchenko, BG Konopelchenko, BG Konopelchenko, D Nickel, D Nickel, D Nickel, DJ Gross, DM Hofman, E Antonyan, F Correa, F Lund, F Lund, F Lund, G Basar, G Basar, G Basar, G Gat, Gerald V. Dunne, GL Lamb, GL Lamb, GL Lamb, GV Dunne, GV Dunne, Gökçe Başar, H Hopf, HJ Vega De, IA Taimanov, IA Taimanov, IE Frolov, J Feinberg, JL Davis, K Kenmotsu, K Pohlmeyer, KG Klimenko, L Martina, LF Alday, LH Haddad, LP Eisenhart, LS Rios Da, LV Bogdanov, LV Bogdanov, LY Glozman, M Grigoriev, M Thies, M Thies, M Thies, MJ Ablowitz, N Dorey, NJ Hitchin, P Forcrand de, R Hasimoto, RF Dashen, RK Dodd, RL Ricca, RS Ward, S Hands, S Hands, SP Novikov, SP Novikov, SP Novikov, SP Novikov, T Kojo, T Kojo, TF Treml, U Wolff, V Schon, V Schon, W Bietenholz   +83 more
core   +1 more source

Spectral curves and the mass of hyperbolic monopoles

, 2005
The moduli spaces of hyperbolic monopoles are naturally fibred by the monopole mass, and this leads to a nontrivial mass dependence of the holomorphic data (spectral curves, rational maps, holomorphic spheres) associated to hyperbolic multi-monopoles. In
A. Sen, C.J. Houghton, C.J. Houghton, E. Arbarello, E. Ercolani, F. Klein, G.B. Segal, J. Hurtubise, J. Maldacena, L. Kiepert, M. Adler, M. Murray, M.F. Atiyah, M.F. Atiyah, M.F. Atiyah, M.K. Murray, N.J. Hitchin, N.J. Hitchin, N.S. Manton, N.S. Manton, Nuno M. Romão, P. Griffiths, P. Griffiths, P. Norbury, P.F. Byrd, P.M. Sutcliffe, Paul Norbury, R. Fricke, S. Jarvis   +28 more
core   +2 more sources

Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]

Sci Rep
Caputi L, Pidnebesna A, Hlinka J.
europepmc   +1 more source

RiemannInfer: improving transformer inference through Riemannian geometry. [PDF]

Sci Rep
Mao R, Zhang Z, Yang M, Xie H, Wei S, Hu C.   +5 more
europepmc   +1 more source

Multi-order hyperbolic graph convolution and aggregated attention for social event detection. [PDF]

PLoS One
Liu Y, Tan TP, Liu Z, Li Y.
europepmc   +1 more source