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Journal articles on the topic 'Path fields'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Cho, Yong Seung, and Soon-Tae Hong. "Jacobi Fields in Path Space." Journal of the Korean Physical Society 57, no. 6 (2010): 1344–49. http://dx.doi.org/10.3938/jkps.57.1344.

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2

Borsari, Lucilía D., Fernanda S. P. Cardona, and Peter Wong. "Equivariant path fields on topological manifolds." Topological Methods in Nonlinear Analysis 33, no. 1 (2009): 1. http://dx.doi.org/10.12775/tmna.2009.001.

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3

Ko, Inyoung, Beobkyoon Kim, and Frank Chongwoo Park. "Randomized path planning on vector fields." International Journal of Robotics Research 33, no. 13 (2014): 1664–82. http://dx.doi.org/10.1177/0278364914545812.

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4

Laflamme, R. "Thermo fields from Euclidean path integrals." Physica A: Statistical Mechanics and its Applications 158, no. 1 (1989): 58–63. http://dx.doi.org/10.1016/0378-4371(89)90507-4.

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5

Nolan, John P. "Path Properties of Index-$\beta$ Stable Fields." Annals of Probability 16, no. 4 (1988): 1596–607. http://dx.doi.org/10.1214/aop/1176991586.

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6

HWANG, Cheolhoi, and Haewon LEE*. "Fermi Fields, Clifford Alegebras and Path Integrals." New Physics: Sae Mulli 66, no. 6 (2016): 742–47. http://dx.doi.org/10.3938/npsm.66.742.

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7

Wong, Peter. "Equivariant Path Fields on $\bf G$-complexes." Rocky Mountain Journal of Mathematics 22, no. 3 (1992): 1139–45. http://dx.doi.org/10.1216/rmjm/1181072717.

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8

TANIMURA, SHOGO, and IZUMI TSUTSUI. "INDUCED GAUGE FIELDS IN THE PATH-INTEGRAL." Modern Physics Letters A 10, no. 34 (1995): 2607–17. http://dx.doi.org/10.1142/s021773239500274x.

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The path-integral on a homogeneous space G/H is constructed, based on the guiding principle “first lift to G and then project to G/H”. It is then shown that this principle admits inequivalent quantizations inducing a gauge field (the canonical connection) on the homogeneous space, and thereby reproduces the result obtained earlier by algebraic approaches.

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9

de Montigny, M., F. C. Khanna, and F. M. Saradzhev. "Path-integral quantization of Galilean Fermi fields." Annals of Physics 323, no. 5 (2008): 1191–214. http://dx.doi.org/10.1016/j.aop.2007.08.002.

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10

Ziemiański, Krzysztof. "Directed path spaces via discrete vector fields." Applicable Algebra in Engineering, Communication and Computing 30, no. 1 (2018): 51–74. http://dx.doi.org/10.1007/s00200-018-0360-4.

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11

Doria, R. M., and J. A. Helayel-Neto. "A possible path towards massive vector fields." Acta Physica Hungarica 71, no. 1-2 (1992): 89–98. http://dx.doi.org/10.1007/bf03156290.

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12

SISSAKIAN, A. N., I. L. SOLOVTSOV та O. Yu. SHEVCHENKO. "δ2-QUANTIZATION OF GAUGE FIELDS". Modern Physics Letters A 07, № 30 (1992): 2819–26. http://dx.doi.org/10.1142/s0217732392004195.

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On the basis of the path-integral formalism in the phase space, a new scheme of quantization of gauge fields is proposed. The path integral in the configuration space is shown to contain two functional δ-functions that reflect the gauge condition and the Gauss law. A new propagator is obtained for the vector field which, for instance, for gauges nμAμ=0 distinguishes choices between time- and space-like vectors nμ and does not lead to contradictions in the computation of the Wilson loop.

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13

Caicedo, Xavier, and Guillermo Mantilla-Soler. "On a characterization of path connected topological fields." Journal of Pure and Applied Algebra 223, no. 12 (2019): 5279–84. http://dx.doi.org/10.1016/j.jpaa.2019.03.021.

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14

Hwang, Kyo-Shin, and Yong-Kab Choi. "PATH PROPERTIES OF $l^\infty$-VALUED RANDOM FIELDS." Taiwanese Journal of Mathematics 17, no. 2 (2013): 601–20. http://dx.doi.org/10.11650/tjm.17.2013.2014.

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15

Kajuri, Nirmalya. "Path integral representation for polymer quantized scalar fields." International Journal of Modern Physics A 30, no. 34 (2015): 1550204. http://dx.doi.org/10.1142/s0217751x15502048.

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According to loop quantum gravity, matter fields must be quantized in a background-independent manner. For scalar fields, such a background-independent quantization is called polymer quantization and is inequivalent to the standard Schrödinger quantization. It is therefore important to obtain predictions from the polymer quantized scalar field theory and compare with the standard results. As a step towards this, we develop a path integral representation for the polymer quantized scalar field. We notice several crucial differences from the path integral for the Schrödinger quantized scalar fiel

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16

Nolan, John P. "Correction: Path Properties of Index-$\beta$ Stable Fields." Annals of Probability 20, no. 3 (1992): 1601–2. http://dx.doi.org/10.1214/aop/1176989709.

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17

HWANG, Cheolhoi, and Haewon LEE*. "Fermi Fields, Clifford Alegebras and Path Integrals II." New Physics: Sae Mulli 67, no. 6 (2017): 733–37. http://dx.doi.org/10.3938/npsm.67.733.

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18

Lyons, T. J., and Z. M. Qian. "A Class of Vector Fields on Path Spaces." Journal of Functional Analysis 145, no. 1 (1997): 205–23. http://dx.doi.org/10.1006/jfan.1996.3013.

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19

Moussa, Majda, and Giovanni Beltrame. "Real-Time Path Planning With Virtual Magnetic Fields." IEEE Robotics and Automation Letters 6, no. 2 (2021): 3279–86. http://dx.doi.org/10.1109/lra.2021.3063992.

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20

Lyons, Terry, and Zhongmin Qian. "Stochastic Jacobi fields and vector fields induced by varying area on path spaces." Probability Theory and Related Fields 109, no. 4 (1997): 539. http://dx.doi.org/10.1007/s004400050141.

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21

Yuan, Quan Bo, Hui Juan Wang, Peng Hua Zhu, and Hui Zhao. "A Hybrid Algorithm to Solute the Problem of the Robot Path Planning." Advanced Materials Research 383-390 (November 2011): 385–89. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.385.

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This paper analyzes the problems of artificial potential fields in robot path planning. A hybrid algorithm for robot path planning is proposed. Robot searching for path in artificial potential fields method, it is possible that the robot can’t reach the goal because of local minimum, when it is best to use a genetic algorithm for robot. Simulation results show the effectiveness of the models, and it can effectively solve the problem caused by defects of artificial potential fields in the path planning.

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22

MATSUO, TOSHIHIRO, and YUUICHIROU SHIBUSA. "QUANTIZATION OF FIELDS BASED ON GENERALIZED UNCERTAINTY PRINCIPLE." Modern Physics Letters A 21, no. 16 (2006): 1285–96. http://dx.doi.org/10.1142/s0217732306020639.

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We construct a quantum theory of free scalar field in (1+1) dimensions based on the deformed Heisenberg algebra [Formula: see text] where β is a deformation parameter. Both canonical and path integral formalisms are employed. A higher dimensional extension is easily performed in the path integral formalism.

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23

Park, Jae Beom, Tapan Sabuwala, and Gustavo Gioia. "The origin of similarity fields in steady elastoplastic crack propagation under K–T loading." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2130 (2010): 1739–48. http://dx.doi.org/10.1098/rspa.2010.0383.

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It has been inferred from computer simulations that the plastic-zone fields of a crack that propagates steadily under K–T loading are similarity fields. Here, we show theoretically that these similarity fields are but a manifestation of the existence of an invariant path integral. We also show that the attendant similarity variable involves an intrinsic length scale set by the specific fracture energy that flows into the crack tip. Finally, we show that where the crack is stationary there can be no similarity fields, even though there exists a (different) invariant path integral. Our results a

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24

Soulignac, Michaël. "Feasible and Optimal Path Planning in Strong Current Fields." IEEE Transactions on Robotics 27, no. 1 (2011): 89–98. http://dx.doi.org/10.1109/tro.2010.2085790.

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25

Ivanov, Dentcho V., and Julian I. Burov. "Mean path length in random acoustic fields in solids." Journal of the Acoustical Society of America 80, no. 3 (1986): 813–14. http://dx.doi.org/10.1121/1.393956.

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26

Conkur, Erdinc Sahin. "Path planning using potential fields for highly redundant manipulators." Robotics and Autonomous Systems 52, no. 2-3 (2005): 209–28. http://dx.doi.org/10.1016/j.robot.2005.03.005.

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27

Zhu, Chengjun, and John R. Klauder. "Nontrivial path integrals for nonrenormalizable fields—Multicomponent ultralocal models." Journal of Mathematical Physics 36, no. 8 (1995): 4020–27. http://dx.doi.org/10.1063/1.530944.

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28

Fanourgakis, George S., Thomas E. Markland, and David E. Manolopoulos. "A fast path integral method for polarizable force fields." Journal of Chemical Physics 131, no. 9 (2009): 094102. http://dx.doi.org/10.1063/1.3216520.

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29

ELWORTHY, K. D., and XUE-MEI LI. "SOME FAMILIES OF q-VECTOR FIELDS ON PATH SPACES." Infinite Dimensional Analysis, Quantum Probability and Related Topics 06, supp01 (2003): 1–27. http://dx.doi.org/10.1142/s0219025703001213.

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Some families of H-valued vector fields with calculable Lie brackets are given. These provide examples of vector fields on path spaces with a divergence and we show that versions of Bismut type formulae for forms on a compact Riemannian manifold arise as projections of the infinite dimensional theory.

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30

Reid, Max B. "Optical calculation of potential fields for robotic path planning." Applied Optics 33, no. 5 (1994): 881. http://dx.doi.org/10.1364/ao.33.000881.

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31

Moreau, Julien, Pierre Melchior, Stéphane Victor, François Aioun, and Franck Guillemard. "Path planning with fractional potential fields for autonomous vehicles." IFAC-PapersOnLine 50, no. 1 (2017): 14533–38. http://dx.doi.org/10.1016/j.ifacol.2017.08.2076.

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32

Choi, Yong-Kab, and Miklós Csörgo. "Path properties of l p -valued Gaussian random fields." Science in China Series A: Mathematics 50, no. 10 (2007): 1501–20. http://dx.doi.org/10.1007/s11425-007-0084-6.

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33

Atkinson, C., J. M. Bastero, and I. Miranda. "Path-independent integrals in fracture dynamics using auxiliary fields." Engineering Fracture Mechanics 25, no. 1 (1986): 53–62. http://dx.doi.org/10.1016/0013-7944(86)90203-1.

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34

Cooper, Benjamin S., and Raghvendra V. Cowlagi. "Path-planning with waiting in spatiotemporally-varying threat fields." PLOS ONE 13, no. 8 (2018): e0202145. http://dx.doi.org/10.1371/journal.pone.0202145.

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35

Wang, Tong, Olivier P. Le Maître, Ibrahim Hoteit, and Omar M. Knio. "Path planning in uncertain flow fields using ensemble method." Ocean Dynamics 66, no. 10 (2016): 1231–51. http://dx.doi.org/10.1007/s10236-016-0979-2.

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36

Li, Zhen, Jing Sun, and Robert F. Beck. "Evaluation and Modification of a Robust Path Following Controller for Marine Surface Vessels in Wave Fields." Journal of Ship Research 54, no. 02 (2010): 141–47. http://dx.doi.org/10.5957/jsr.2010.54.2.141.

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This paper evaluates a novel robust path following controller for marine surface vessels in wave fields. Because of complex wave structure interactions, most path following control designs neglect the wave impact at the design stage and rely on simulation or experiment to ensure the satisfactory performance in wave fields. In this paper, we first introduce a numerical test bed that combines the ship dynamics and wave effects on vessels to facilitate the model-base performance evaluation of path following control systems in wave fields. Then, a novel robust path following controller is describe

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37

Djordjević, Goran S., Branko Dragovich, and Ljubiša Nešić. "Adelic Path Integrals for Quadratic Lagrangians." Infinite Dimensional Analysis, Quantum Probability and Related Topics 06, no. 02 (2003): 179–95. http://dx.doi.org/10.1142/s0219025703001134.

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Feynman's path integral in adelic quantum mechanics is considered. The propagator [Formula: see text] for one-dimensional adelic systems with quadratic Lagrangians is analytically evaluated. Obtained exact general formula has the form which is invariant under interchange of the number fields ℝ and ℚp.

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38

Botteghi, N., A. Kamilaris, L. Sinai, and B. Sirmacek. "MULTI-AGENT PATH PLANNING OF ROBOTIC SWARMS IN AGRICULTURAL FIELDS." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences V-1-2020 (August 3, 2020): 361–68. http://dx.doi.org/10.5194/isprs-annals-v-1-2020-361-2020.

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Abstract. Collaborative swarms of robots/UAVs constitute a promising solution for precision agriculture and for automatizing agricultural processes. Since agricultural fields have complex topologies and different constraints, the problem of optimized path routing of these swarms is important to be tackled. Hence, this paper deals with the problem of optimizing path routing for a swarm of ground robots and UAVs in different popular topologies of agricultural fields. Four algorithms (Nearest Neighbour based on K-means clustering, Christofides, Ant Colony Optimisation and Bellman-Held-Karp) are a

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39

Mason, Jesse David, Jesse David Mason, Yimin Xiao, and Yimin Xiao. "Sample Path Properties of Operator-Slef-Similar Gaussian Random Fields." Teoriya Veroyatnostei i ee Primeneniya 46, no. 1 (2001): 94–116. http://dx.doi.org/10.4213/tvp3953.

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40

Jacquot, J. L. "Path integral regularization of QED by means of Stueckelberg fields." Physics Letters B 631, no. 1-2 (2005): 83–92. http://dx.doi.org/10.1016/j.physletb.2005.09.065.

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41

Kubalak, Joseph R., Alfred L. Wicks, and Christopher B. Williams. "Deposition path planning for material extrusion using specified orientation fields." Procedia Manufacturing 34 (2019): 754–63. http://dx.doi.org/10.1016/j.promfg.2019.06.209.

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42

Receveur, Jean-Baptiste, Stéphane Victor, and Pierre Melchior. "New interpretation of fractional potential fields for robust path planning." Fractional Calculus and Applied Analysis 22, no. 1 (2019): 113–27. http://dx.doi.org/10.1515/fca-2019-0007.

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Abstract Trajectory planning for autonomous vehicles is a research topical subject. In previous studies, optimal intermediate targets have been used in the Potential Fields (PFs). PFs are only a path planning method, or a reactive obstacle avoidance method and not a trajectory tracking method. In this article, the PFs are interpreted as an on-line control method to follow an optimal trajectory. An analysis and methodological approach to design the attractive potential as a robust controller are proposed, and a new definition of a fractional repulsive potential to characterize the dangerousness

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43

Beckhaus, Steffi, Felix Ritter, and Thomas Strothotte. "Guided Exploration with Dynamic Potential Fields: the Cubical Path System." Computer Graphics Forum 20, no. 4 (2001): 201–10. http://dx.doi.org/10.1111/1467-8659.00549.

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44

Gozzi, E., and M. Reuter. "Metaplectic spinor fields on phase space: A path integral approach." Journal of Physics A: Mathematical and General 26, no. 22 (1993): 6319–35. http://dx.doi.org/10.1088/0305-4470/26/22/030.

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45

Mason, J. D., and Xiao Yimin. "Sample Path Properties of Operator-Slef-Similar Gaussian Random Fields." Theory of Probability & Its Applications 46, no. 1 (2002): 58–78. http://dx.doi.org/10.1137/s0040585x97978749.

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46

Botelho, Luiz C. L. "A Note on Feynman Path Integral for Electromagnetic External Fields." International Journal of Theoretical Physics 56, no. 8 (2017): 2535–39. http://dx.doi.org/10.1007/s10773-017-3406-7.

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47

Deck, T. "Non-Gaussian Complex Random Fields, their Skeletons and Path Measures." Potential Analysis 24, no. 1 (2006): 63–86. http://dx.doi.org/10.1007/s11118-005-8567-y.

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48

Ayache, Antoine, and Geoffrey Boutard. "Stationary Increments Harmonizable Stable Fields: Upper Estimates on Path Behaviour." Journal of Theoretical Probability 30, no. 4 (2016): 1369–423. http://dx.doi.org/10.1007/s10959-016-0698-0.

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49

Aouachria, M., and L. Chetouani. "Rabi oscillations in gravitational fields: Exact solution via path integral." European Physical Journal C 25, no. 2 (2002): 333–38. http://dx.doi.org/10.1007/s10052-002-0984-0.

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50

Shin, Yujin, and Euiho Kim. "Hybrid path planning using positioning risk and artificial potential fields." Aerospace Science and Technology 112 (May 2021): 106640. http://dx.doi.org/10.1016/j.ast.2021.106640.

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