Journal articles: 'Moment map'

1

Wang, Xiaowei. "Riemannian moment map." Communications in Analysis and Geometry 16, no. 4 (2008): 837–63. http://dx.doi.org/10.4310/cag.2008.v16.n4.a5.

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2

Donaldson, S. K. "Moment map and diffeomorphisms." Surveys in Differential Geometry 7, no. 1 (2002): 107–27. http://dx.doi.org/10.4310/sdg.2002.v7.n1.a5.

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3

Guillemin, Victor, and Shlomo Sternberg. "The moment map revisited." Journal of Differential Geometry 69, no. 1 (January 2005): 137–62. http://dx.doi.org/10.4310/jdg/1121540342.

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4

Zhang, Songyang, Houwen Peng, Jianlong Fu, and Jiebo Luo. "Learning 2D Temporal Adjacent Networks for Moment Localization with Natural Language." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 07 (April 3, 2020): 12870–77. http://dx.doi.org/10.1609/aaai.v34i07.6984.

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We address the problem of retrieving a specific moment from an untrimmed video by a query sentence. This is a challenging problem because a target moment may take place in relations to other temporal moments in the untrimmed video. Existing methods cannot tackle this challenge well since they consider temporal moments individually and neglect the temporal dependencies. In this paper, we model the temporal relations between video moments by a two-dimensional map, where one dimension indicates the starting time of a moment and the other indicates the end time. This 2D temporal map can cover diverse video moments with different lengths, while representing their adjacent relations. Based on the 2D map, we propose a Temporal Adjacent Network (2D-TAN), a single-shot framework for moment localization. It is capable of encoding the adjacent temporal relation, while learning discriminative features for matching video moments with referring expressions. We evaluate the proposed 2D-TAN on three challenging benchmarks, i.e., Charades-STA, ActivityNet Captions, and TACoS, where our 2D-TAN outperforms the state-of-the-art.

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5

Marian, Alina. "On the Real Moment Map." Mathematical Research Letters 8, no. 6 (2001): 779–88. http://dx.doi.org/10.4310/mrl.2001.v8.n6.a8.

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6

Heckman, Gert, and Lei Zhao. "Angular momenta of relative equilibrium motions and real moment map geometry." Inventiones mathematicae 205, no. 3 (January 5, 2016): 671–91. http://dx.doi.org/10.1007/s00222-015-0644-2.

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7

Ferreiro Pérez, Roberto. "Equivariant prequantization and the moment map." Forum Mathematicum 33, no. 3 (February 20, 2021): 593–600. http://dx.doi.org/10.1515/forum-2020-0287.

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Abstract If ω is a closed G-invariant 2-form and μ is a moment map, we obtain necessary and sufficient conditions for equivariant prequantizability that can be computed in terms of the moment map μ. Our main result is that G-equivariant prequantizability is related to the fact that the moment map μ should be quantized for certain vectors on the Lie algebra of G. We also compute the obstructions to lift the action of G to a prequantization bundle of ω. Our results are valid for any compact and connected Lie group G.

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8

Azad, H. "A remark on the moment map." Proceedings of the American Mathematical Society 121, no. 4 (April 1, 1994): 1295. http://dx.doi.org/10.1090/s0002-9939-1994-1191865-4.

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9

Heinzner, Peter, and Gerald W. Schwarz. "Cartan decomposition of the moment map." Mathematische Annalen 337, no. 1 (August 1, 2006): 197–232. http://dx.doi.org/10.1007/s00208-006-0032-8.

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10

Warnick, K. F., and Weng Cho Chew. "Error analysis of the moment method." IEEE Antennas and Propagation Magazine 46, no. 6 (December 2004): 38–53. http://dx.doi.org/10.1109/map.2004.1396735.

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11

Bansal, Rajeev. "A Eureka Moment [AP-S Turnstile]." IEEE Antennas and Propagation Magazine 53, no. 3 (June 2011): 174–75. http://dx.doi.org/10.1109/map.2011.6028445.

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12

Barkley, D., I. G. Kevrekidis, and A. M. Stuart. "The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments." SIAM Journal on Applied Dynamical Systems 5, no. 3 (January 2006): 403–34. http://dx.doi.org/10.1137/050638667.

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13

Biliotti, Leonardo. "On the moment map on symplectic manifolds." Bulletin of the Belgian Mathematical Society - Simon Stevin 16, no. 1 (February 2009): 107–16. http://dx.doi.org/10.36045/bbms/1235574195.

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14

Hashimoto, Takashi. "A twisted moment map and its equivariance." Tohoku Mathematical Journal 66, no. 4 (December 2014): 563–81. http://dx.doi.org/10.2748/tmj/1491616814.

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15

Tkachev, V. G. "Ullemar’s formula for the moment map, II." Linear Algebra and its Applications 404 (July 2005): 380–88. http://dx.doi.org/10.1016/j.laa.2005.03.012.

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16

Herbig, Hans-Christian, and Gerald W. Schwarz. "The Koszul complex of a moment map." Journal of Symplectic Geometry 11, no. 3 (2013): 497–508. http://dx.doi.org/10.4310/jsg.2013.v11.n3.a9.

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17

Kaur, Manjit, and Vijay Kumar. "Fourier–Mellin moment-based intertwining map for image encryption." Modern Physics Letters B 32, no. 09 (March 30, 2018): 1850115. http://dx.doi.org/10.1142/s0217984918501154.

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In this paper, a robust image encryption technique that utilizes Fourier–Mellin moments and intertwining logistic map is proposed. Fourier–Mellin moment-based intertwining logistic map has been designed to overcome the issue of low sensitivity of an input image. Multi-objective Non-Dominated Sorting Genetic Algorithm (NSGA-II) based on Reinforcement Learning (MNSGA-RL) has been used to optimize the required parameters of intertwining logistic map. Fourier–Mellin moments are used to make the secret keys more secure. Thereafter, permutation and diffusion operations are carried out on input image using secret keys. The performance of proposed image encryption technique has been evaluated on five well-known benchmark images and also compared with seven well-known existing encryption techniques. The experimental results reveal that the proposed technique outperforms others in terms of entropy, correlation analysis, a unified average changing intensity and the number of changing pixel rate. The simulation results reveal that the proposed technique provides high level of security and robustness against various types of attacks.

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18

Benson, Chal, Joe Jenkins, Ronald L. Lipsman, and Gail Ratcliff. "The Moment Map for a Multiplicity Free Action." Bulletin of the American Mathematical Society 31, no. 2 (January 1, 1994): 185–91. http://dx.doi.org/10.1090/s0273-0979-1994-00514-2.

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19

Mikhalkin, G. "Real Algebraic Curves, the Moment Map and Amoebas." Annals of Mathematics 151, no. 1 (January 2000): 309. http://dx.doi.org/10.2307/121119.

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20

Wildberger, N. J. "The moment map of a Lie group representation." Transactions of the American Mathematical Society 330, no. 1 (January 1, 1992): 257–68. http://dx.doi.org/10.1090/s0002-9947-1992-1040046-6.

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21

Bass, Mark J., Mark Brouard, Andrew P. Clark, and Claire Vallance. "Fourier moment analysis of velocity-map ion images." Journal of Chemical Physics 117, no. 19 (November 15, 2002): 8723–35. http://dx.doi.org/10.1063/1.1514978.

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22

Gustafsson, Björn, and Vladimir Tkachev. "On the Jacobian of the Harmonic Moment Map." Complex Analysis and Operator Theory 3, no. 2 (October 24, 2008): 399–417. http://dx.doi.org/10.1007/s11785-008-0091-9.

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23

Borman, Matthew Strom. "Quasi-States, Quasi-Morphisms, and the Moment Map." International Mathematics Research Notices 2013, no. 11 (April 17, 2012): 2497–533. http://dx.doi.org/10.1093/imrn/rns120.

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24

Cho, Yunhyung, and Min Kyu Kim. "Hamiltonian circle action with self-indexing moment map." Mathematical Research Letters 23, no. 3 (2016): 719–32. http://dx.doi.org/10.4310/mrl.2016.v23.n3.a8.

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25

Maaskant, Rob, and Michel Arts. "Reconsidering the Voltage-Gap Source Model Used in Moment Methods." IEEE Antennas and Propagation Magazine 52, no. 2 (April 2010): 120–25. http://dx.doi.org/10.1109/map.2010.5525588.

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26

Abdelmoula, Lobna, Ali Baklouti, and Yasmine Bouaziz. "On the generalized moment separability theorem for type 1 solvable Lie groups." Advances in Pure and Applied Mathematics 9, no. 4 (October 1, 2018): 247–77. http://dx.doi.org/10.1515/apam-2018-0020.

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Abstract Let G be a type 1 connected and simply connected solvable Lie group. The generalized moment map for π in {\widehat{G}} , the unitary dual of G, sends smooth vectors of the representation space of π to {{\mathcal{U}(\mathfrak{g})}^{*}} , the dual vector space of {\mathcal{U}(\mathfrak{g})} . The convex hull of the image of the generalized moment map for π is called its generalized moment set, denoted by {J(\pi)} . We say that {\widehat{G}} is generalized moment separable when the generalized moment sets differ for any pair of distinct irreducible unitary representations. Our main result in this paper provides a second proof of the generalized moment separability theorem for G.

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27

Gottschalk, L., I. Krasovskaia, E. Leblois, and E. Sauquet. "Mapping mean and variance of runoff in a river basin." Hydrology and Earth System Sciences 10, no. 4 (July 3, 2006): 469–84. http://dx.doi.org/10.5194/hess-10-469-2006.

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Abstract. The study presents an approach to represent the two first order moments of temporal runoff variability as a function of catchment area and aggregation time interval, and to map them in space. The problem is divided into two steps. First, the first order moment (the long term value) is analysed and mapped applying an interpolation procedure for river runoff. In a second step a simple random model for the river runoff process is proposed for the instantaneous point runoff normalised with respect to the long term mean. From this model analytical expressions for the time-space variance-covariance of the inflow to the river network are developed, which then is used to predict how the second order moment varies along rivers from headwaters to the mouth. The observation data are handled by a hydrological information system, which allows to display the results either in the form of area dependence of moments along the river branches to the basin outlet or as a map of the variation of the moments across the basin. The findings are demonstrated by the example of the Moselle drainage basin (French part).

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28

Daszkiewicz, Andrzej, and Tomasz Przebinda. "On the Moment Map of a Multiplicity Free Action." Colloquium Mathematicum 71, no. 1 (1996): 107–10. http://dx.doi.org/10.4064/cm-71-1-107-110.

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29

Nasr, Walid W., Ali Charanek, and Bacel Maddah. "MAP fitting by count and inter-arrival moment matching." Stochastic Models 34, no. 3 (July 3, 2018): 292–321. http://dx.doi.org/10.1080/15326349.2018.1474478.

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30

Mladenov, I. M., and V. V. Tsanov. "Quantization of the moment map of coupled harmonic oscillators." Journal of Physics A: Mathematical and General 26, no. 23 (December 7, 1993): 7115–23. http://dx.doi.org/10.1088/0305-4470/26/23/046.

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31

Paradan, Paul-Emile. "The moment map and equivariant cohomology with generalized coefficients." Topology 39, no. 2 (March 2000): 401–44. http://dx.doi.org/10.1016/s0040-9383(99)00028-2.

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32

Heinzner, Peter, and Alan Huckleberry. "Kählerian potentials and convexity properties of the moment map." Inventiones Mathematicae 126, no. 1 (September 18, 1996): 65–84. http://dx.doi.org/10.1007/s002220050089.

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33

Wilkin, Graeme. "Moment map flows and the Hecke correspondence for quivers." Advances in Mathematics 320 (November 2017): 730–94. http://dx.doi.org/10.1016/j.aim.2017.09.011.

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34

Zara, Catalin. "Positivity of equivariant Schubert classes through moment map degeneration." Journal of Symplectic Geometry 8, no. 4 (2010): 381–402. http://dx.doi.org/10.4310/jsg.2010.v8.n4.a2.

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35

Wang, Xiaowei. "Moment Map, Futaki Invariant and Stability of Projective Manifolds." Communications in Analysis and Geometry 12, no. 5 (2004): 1009–238. http://dx.doi.org/10.4310/cag.2004.v12.n5.a2.

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36

Goto, Ryushi. "Scalar curvature as moment map in generalized Kähler geometry." Journal of Symplectic Geometry 18, no. 1 (2020): 147–90. http://dx.doi.org/10.4310/jsg.2020.v18.n1.a4.

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37

McDuff, Dusa. "The moment map for circle actions on sympletic manifolds." Journal of Geometry and Physics 5, no. 2 (January 1988): 149–60. http://dx.doi.org/10.1016/0393-0440(88)90001-0.

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38

Su, Xiuping. "Flatness for the moment map for representations of quivers." Journal of Algebra 298, no. 1 (April 2006): 105–19. http://dx.doi.org/10.1016/j.jalgebra.2006.01.039.

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39

Baldoni, Velleda, Michèle Vergne, and Michael Walter. "Horn conditions for quiver subrepresentations and the moment map." Pure and Applied Mathematics Quarterly 19, no. 4 (2023): 1687–731. http://dx.doi.org/10.4310/pamq.2023.v19.n4.a1.

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40

Gottschalk, L., I. Krasovskaia, E. Leblois, and E. Sauquet. "Mapping mean and variance of runoff in a river basin." Hydrology and Earth System Sciences Discussions 3, no. 2 (March 9, 2006): 299–333. http://dx.doi.org/10.5194/hessd-3-299-2006.

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Abstract. The study presents an approach to depict the two first order moments of runoff as a function of area (and thus on a map). The focal point is the mapping of the statistical properties of runoff q=q(A,D) in space (area A) and time (time interval D). The problem is divided into two steps. Firstly the first order moment (the long term mean value) is analysed and mapped applying an interpolation procedure for river runoff. In a second step a simple random model for the river runoff process is proposed for the instantaneous point runoff normalised with respect to the long term mean. From this model theoretical expressions for the time-space variance-covariance of the inflow to the river network are developed, which then is used to predict how the second order moment vary along rivers from headwaters to the mouth. The observation data are handled in the frame of a hydrological information system HydroDem, which allows displaying the results either in the form of area dependence of moments along the river branches to the basin outlet or as a map of the variation of the moments across the basin space. The findings are demonstrated on the example of the Moselle drainage basin (French part).

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41

Cook, G. G., and S. K. Khamas. "Efficient moment method for analysing printed wire loop antennas." IEE Proceedings - Microwaves, Antennas and Propagation 144, no. 5 (1997): 364. http://dx.doi.org/10.1049/ip-map:19971229.

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42

Khan, Muhammad Shuaib, and Robert King. "Transmuted Modified Inverse Rayleigh Distribution." Austrian Journal of Statistics 44, no. 3 (October 14, 2015): 17–29. http://dx.doi.org/10.17713/ajs.v44i3.21.

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We introduce the transmuted modified Inverse Rayleighdistribution by using quadratic rank transmutation map (QRTM), whichextends the modified Inverse Rayleigh distribution. A comprehensiveaccount of the mathematical properties of the transmuted modified InverseRayleigh distribution are discussed. We derive the quantile, moments,moment generating function, entropy, mean deviation, Bonferroni andLorenz curves, order statistics and maximum likelihood estimation Theusefulness of the new model is illustrated using real lifetime data.

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43

Descardeci, J. R. "A note on using the frequency-domain moment method for rectangular microstrip antennas." IEEE Antennas and Propagation Magazine 48, no. 4 (August 2006): 96–98. http://dx.doi.org/10.1109/map.2006.1715240.

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44

Chhetri, Sher, Nonhle Mdziniso, and Cory Ball. "Extended Lindley Distribution with Applications." Revista Colombiana de Estadística 45, no. 1 (January 1, 2022): 65–83. http://dx.doi.org/10.15446/rce.v45n1.93548.

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In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto, Louzada & Balakrishnan (2017). We derive expressions for several mathematical properties including moments and moment generating function, mean deviation, probability weighted moments, quantile function, reliability analysis, and order statistics. We conducted a simulation study to assess the performance of the maximum likelihood estimation procedure for estimating model parameters. The flexibility of the proposed model is illustrated by analyzing two real data sets.

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45

HAMACHI, KENTARO. "QUANTUM MOMENT MAPS AND INVARIANTS FOR G-INVARIANT STAR PRODUCTS." Reviews in Mathematical Physics 14, no. 06 (June 2002): 601–21. http://dx.doi.org/10.1142/s0129055x02001314.

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We study a quantum moment map and propose an invariant for G-invariant star products on a G-transitive symplectic manifold. We start by describing a new method to construct a quantum moment map for G-invariant star products of Fedosov type. We use it to obtain an invariant that is invariant under G-equivalence. In the last section we give two simple examples of such invariants, which involve non-classical terms and provide new insights into the classification of G-invariant star products.

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46

Zappia, Natale. "Map Room." California History 91, no. 4 (2014): 4–5. http://dx.doi.org/10.1525/ch.2014.91.4.4.

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In the minds of Californians, then, Mulholland’s aqueduct represents a historical pivot; a before-and-after event when farmers lost and the city won; a moment when Los Angeles began to soak the desert with water and populate it with people. The idea that the city is an actual desert disguised by uninhibited water theft has permeated the minds of policy makers and popular culture (i.e. “Chinatown”) for so long that it is hard to rectify the map above with the “genesis myth” of the Owens River Aqueduct. Yet, in the minds of engineers in 1888 (when the population of Los Angeles stood at around 50,000—roughly half the size of Santa Monica today), Los Angeles—particularly West Los Angeles, was anything but a parched landscape. This map, in fact, reveals an incredibly complex series of patchworks containing irrigation lines (both newly constructed and older Rancho era Zanjas), “moist areas,” pipelines, washes, creeks, streams, swamps, rivers, canals, wells, and of course, the large and still wild Los Angeles River.

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47

Hashimoto, Takashi. "The moment map on symplectic vector space and oscillator representation." Kyoto Journal of Mathematics 57, no. 3 (September 2017): 553–83. http://dx.doi.org/10.1215/21562261-2017-0006.

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48

Lauret, Jorge. "On the moment map for the variety of Lie algebras." Journal of Functional Analysis 202, no. 2 (August 2003): 392–423. http://dx.doi.org/10.1016/s0022-1236(02)00108-8.

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49

Harada, Megumi, and Graeme Wilkin. "Morse theory of the moment map for representations of quivers." Geometriae Dedicata 150, no. 1 (May 21, 2010): 307–53. http://dx.doi.org/10.1007/s10711-010-9508-5.

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50

Conca, Aldo, Hans-Christian Herbig, and Srikanth B. Iyengar. "Koszul properties of the moment map of some classical representations." Collectanea Mathematica 69, no. 3 (May 23, 2018): 337–57. http://dx.doi.org/10.1007/s13348-018-0226-x.

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Journal articles on the topic 'Moment map'

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