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Journal articles on the topic 'Path operators'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Cokelaer, F., H. Talbot, and J. Chanussot. "Efficient Robust d-Dimensional Path Operators." IEEE Journal of Selected Topics in Signal Processing 6, no. 7 (2012): 830–39. http://dx.doi.org/10.1109/jstsp.2012.2213578.

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2

Slapal, Josef. "Path-set induced closure operators on graphs." Filomat 30, no. 3 (2016): 863–71. http://dx.doi.org/10.2298/fil1603863s.

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Given a simple graph, we associate with every set of paths of the same positive length a closure operator on the (vertex set of the) graph. These closure operators are then studied. In particular, it is shown that the connectedness with respect to them is a certain kind of path connectedness. Closure operators associated with sets of paths in some graphs with the vertex set Z2 are discussed which include the well known Marcus-Wyse and Khalimsky topologies used in digital topology. This demonstrates possible applications of the closure operators investigated in digital image analysis.

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3

Polchinski, Joseph. "Vertex operators in the polyakov path integral." Nuclear Physics B 289 (January 1987): 465–83. http://dx.doi.org/10.1016/0550-3213(87)90389-0.

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4

Blumer, Adrian, Jan Novák, Ralf Habel, Derek Nowrouzezahrai, and Wojciech Jarosz. "Reduced Aggregate Scattering Operators for Path Tracing." Computer Graphics Forum 35, no. 7 (2016): 461–73. http://dx.doi.org/10.1111/cgf.13043.

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5

McCoy, John J., and L. Neil Frazer. "Pseudodifferential operators, operator orderings, marching algorithms and path integrals for one-way equations." Wave Motion 9, no. 5 (1987): 413–27. http://dx.doi.org/10.1016/0165-2125(87)90030-8.

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6

VAN TONDER, ANDRÉ. "WORLDSHEET COVARIANT PATH INTEGRAL QUANTIZATION OF STRINGS." International Journal of Modern Physics A 21, no. 32 (2006): 6525–74. http://dx.doi.org/10.1142/s0217751x0603446x.

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We discuss a covariant functional integral approach to the quantization of the bosonic string. In contrast to approaches relying on noncovariant operator regularizations, interesting operators here are true tensor objects with classical transformation laws, even on target spaces where the theory has a Weyl anomaly. Since no implicit noncovariant gauge choices are involved in the definition of the operators, the anomaly is clearly separated from the issue of operator renormalization and can be understood in isolation, instead of infecting the latter as in other approaches. Our method is of wide

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7

Huang, Kerson, and Michael E. Peskin. "Quantum Field Theory: From Operators to Path Integrals." Physics Today 52, no. 11 (1999): 66–68. http://dx.doi.org/10.1063/1.882887.

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8

Rutenberg, M. L. "The path integral and ordering of noncommuting operators." Physics Letters B 325, no. 3-4 (1994): 383–86. http://dx.doi.org/10.1016/0370-2693(94)90029-9.

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9

Chan, Kit C., and Rebecca Sanders. "Common supercyclic vectors for a path of operators." Journal of Mathematical Analysis and Applications 337, no. 1 (2008): 646–58. http://dx.doi.org/10.1016/j.jmaa.2007.04.023.

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10

Zanlongo, Sebastián A., Peter Dirksmeier, Philip Long, Taskin Padir, and Leonardo Bobadilla. "Scheduling and Path-Planning for Operator Oversight of Multiple Robots." Robotics 10, no. 2 (2021): 57. http://dx.doi.org/10.3390/robotics10020057.

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There is a need for semi-autonomous systems capable of performing both automated tasks and supervised maneuvers. When dealing with multiple robots or robots with high complexity (such as humanoids), we face the issue of effectively coordinating operators across robots. We build on our previous work to present a methodology for designing trajectories and policies for robots such that a few operators can supervise multiple robots. Specifically, we: (1) Analyze the complexity of the problem, (2) Design a procedure for generating policies allowing operators to oversee many robots, (3) Present a me

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11

Izuchi, Kei Ji, and Yuko Izuchi. "Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II." Journal of the Indian Mathematical Society 85, no. 1-2 (2018): 92. http://dx.doi.org/10.18311/jims/2018/16577.

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12

Fukutaka, Hiroki, and Taro Kashiwa. "Path integration on spheres: Hamiltonian operators from the Faddeev-Senjanovic path integral formula." Annals of Physics 176, no. 2 (1987): 301–29. http://dx.doi.org/10.1016/0003-4916(87)90004-2.

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13

Phillips, John. "Self-Adjoint Fredholm Operators And Spectral Flow." Canadian Mathematical Bulletin 39, no. 4 (1996): 460–67. http://dx.doi.org/10.4153/cmb-1996-054-4.

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AbstractWe study the topology of the nontrivial component, , of self-adjoint Fredholm operators on a separable Hilbert space. In particular, if {Bt} is a path of such operators, we can associate to {Bt} an integer, sf({Bt}), called the spectral flow of the path. This notion, due to M. Atiyah and G. Lusztig, assigns to the path {Bt} the net number of eigenvalues (counted with multiplicities) which pass through 0 in the positive direction. There are difficulties in making this precise — the usual argument involves looking at the graph of the spectrum of the family (after a suitable perturbation)

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14

Lamy-Poirier, Joël, and Pierre Mathieu. "Path representation of states I: Operators and particles for." Nuclear Physics B 845, no. 2 (2011): 257–96. http://dx.doi.org/10.1016/j.nuclphysb.2010.11.019.

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15

Lamoureux, Michael P., and Gary F. Margrave. "Numerical implementation of seismic wavefield operators via path integrals." PAMM 7, no. 1 (2007): 1130201–2. http://dx.doi.org/10.1002/pamm.200700343.

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16

Prisner, Erich. "The dynamics of the line and path graph operators." Graphs and Combinatorics 9, no. 2-4 (1993): 335–52. http://dx.doi.org/10.1007/bf02988321.

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17

Choe, Boo Rim, Hyungwoon Koo, Wayne Smith, and Pham Trong Tien. "Path components of composition operators over the half-plane." Journal of Mathematical Analysis and Applications 497, no. 2 (2021): 124861. http://dx.doi.org/10.1016/j.jmaa.2020.124861.

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18

Estrada, Ernesto. "d-Path Laplacians and Quantum Transport on Graphs." Mathematics 8, no. 4 (2020): 527. http://dx.doi.org/10.3390/math8040527.

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We generalize the Schrödinger equation on graphs to include long-range interactions (LRI) by means of the Mellin-transformed d-path Laplacian operators. We find analytical expressions for the transition and return probabilities of a quantum particle at the nodes of a ring graph. We show that the average return probability in ring graphs decays as a power law with time when LRI is present. In contrast, we prove analytically that the transition and return probabilities on a complete and start graphs oscillate around a constant value. This allowed us to infer that in a barbell graph—a graph consi

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19

ICHINOSE, WATARU. "ON CONVERGENCE OF THE FEYNMAN PATH INTEGRAL FORMULATED THROUGH BROKEN LINE PATHS." Reviews in Mathematical Physics 11, no. 08 (1999): 1001–25. http://dx.doi.org/10.1142/s0129055x99000313.

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We study the convergence of the Feynman path integral formulated through broken line paths in nonrelativistic quantum mechanics. The rigorous proof of its convergence had been given little except for special cases for a long time. In the preceding paper the author showed for a class of potentials that this path integral converges and gives the probability amplitude, i.e. the solution of the Schrödinger equation. In the present paper we generalize this result, showing the boundedness theorem on the weighted Sobolev spaces for some integral operators and joining this boundedness theorem to the m

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20

XU, XIAOPING. "PATH HYPERGEOMETRIC FUNCTIONS." Journal of Algebra and Its Applications 06, no. 04 (2007): 595–653. http://dx.doi.org/10.1142/s0219498807002405.

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Under a certain condition, we find the explicit formulas for the trace functions of certain intertwining operators among gl(n)-modules, introduced by Etingof in connection with the solutions of the Calogero–Sutherland model. If n = 2, the master function of the trace function is exactly the classical Gauss hypergeometric function. When n > 2, the master functions of the trace functions are a new family of multiple hypergeometric functions, whose differential property and Euler type integral representation are dominated by certain polynomials of integral paths connecting pairs of positive in

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21

Niedfeldt, Peter C., Brandon T. Carroll, Joel A. Howard, Randal W. Beard, Bryan S. Morse, and Stephen Pledgie. "Enhanced UAS Surveillance Using a Video Utility Metric." Unmanned Systems 01, no. 02 (2013): 277–96. http://dx.doi.org/10.1142/s2301385013500088.

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A successful mission for an Unmanned Air System (UAS) often depends on the ability of human operators to utilize data collected from onboard imaging sensors. Many hours are spent preparing and executing flight objectives, putting a tremendous burden on human operators both before and during the flight. We seek to automate the planning process to reduce the workload for UAS operators while also optimizing the quality of the collected video stream. We first propose a metric based on an existing image utility metric to estimate the utility of video captured by onboard cameras. We then use this me

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22

CECIL, MATTHEW, and BRUCE K. DRIVER. "HEAT KERNEL MEASURE ON LOOP AND PATH GROUPS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 11, no. 02 (2008): 135–56. http://dx.doi.org/10.1142/s0219025708003099.

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Diffusions on the pinned loop and pathgroup of a general (non-compact) Lie group are constructed. The laws of the endpoint processes satisfy heat equations related to second order differential operators associated to subspaces of the Cameron–Martin space.

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23

Khoi, Le Hai, Le Thi Hong Thom та Pham Trong Tien. "Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱp(ℂ)". International Journal of Mathematics 30, № 03 (2019): 1950015. http://dx.doi.org/10.1142/s0129167x19500150.

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In this paper, we establish necessary and sufficient conditions for boundedness and compactness of weighted composition operators acting between Fock spaces [Formula: see text] and [Formula: see text]. We also give complete descriptions of path connected components for the space of composition operators and the space of nonzero weighted composition operators in this context.

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24

HIROSHIMA, FUMIO, TAKASHI ICHINOSE, and JÓZSEF LŐRINCZI. "PATH INTEGRAL REPRESENTATION FOR SCHRÖDINGER OPERATORS WITH BERNSTEIN FUNCTIONS OF THE LAPLACIAN." Reviews in Mathematical Physics 24, no. 06 (2012): 1250013. http://dx.doi.org/10.1142/s0129055x12500134.

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Path integral representations for generalized Schrödinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein functions with Lévy subordinators is used, thereby the role of Brownian motion entering the standard Feynman–Kac formula is taken here by subordinate Brownian motion. As specific examples, fractional and relativistic Schrödinger operators with magnetic field and spin are covered. Results on self-adjointness of these operators are obtained under conditions allowing for singular magnetic fields and singular

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25

Zandron, O. P., and P. A. Turner. "First order Lagrangians and path integral quantization for Hubbard operators." Advanced Studies in Theoretical Physics 10 (2016): 173–200. http://dx.doi.org/10.12988/astp.2016.512115.

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26

Koshevoy, Gleb A. "Path-independence and closure operators with the anti-exchange property." Discrete Applied Mathematics 147, no. 1 (2005): 81–89. http://dx.doi.org/10.1016/j.dam.2004.06.022.

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27

Gaveau, Bernard, and Philippe Sainty. "A path integral formula for certain fourth-order elliptic operators." Letters in Mathematical Physics 15, no. 4 (1988): 345–50. http://dx.doi.org/10.1007/bf00419593.

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28

Estrada, Ernesto. "Path Laplacians versus fractional Laplacians as nonlocal operators on networks." New Journal of Physics 23, no. 7 (2021): 073049. http://dx.doi.org/10.1088/1367-2630/ac14ac.

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29

Kei Ji Izuchi and Yuko Izuchi. "Path-Connected Components in Weighted Composition Operators on the Disk Algebra with the Essential Operator Norm." Mathematical Proceedings of the Royal Irish Academy 115A, no. 1 (2015): 1. http://dx.doi.org/10.3318/pria.2015.115.5.

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30

GAITAN, ROLANDO. "ON PATH-DEPENDENT STATE SPACE FOR THE PROCA FIELD." Modern Physics Letters A 14, no. 21 (1999): 1383–90. http://dx.doi.org/10.1142/s0217732399001474.

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A gauge formulation for the Proca model quantum theory in an open path functional space representation is revisited. The path-dependent vacuum state and the functional integration measure needed to define an internal product in the state space are obtained. Finally, a possible scheme for the construction of creation–annihilation path-dependent operators is presented.

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31

LUGO, ADRIAN R. "VERTEX OPERATORS FOR THE CLOSED BOSONIC STRING THEORY AT ARBITRARY GENUS IN THE OPERATOR FORMALISM." International Journal of Modern Physics A 05, no. 12 (1990): 2391–409. http://dx.doi.org/10.1142/s0217751x90001112.

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A systematic procedure for constructing vertex operators for the physical states of the closed bosonic string theory at genus g in the operator formalism is presented. The method is based on imposing suitable commutation relations with the generators of the conformal transformations required by unitarity of scattering amplitudes. An Arakelov-type metric on the Riemann surface naturally arises in the case of the tachyon, which allows to define vertex operators at higher levels via covariant derivatives. They involve covariant derivatives of the curvature with respect to this metric as it happen

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32

Jumpaluang, Jommutta, and Witaya Wannasuphoprasit. "Implementing Expandable Path for an Resizable Cobot." Applied Mechanics and Materials 619 (August 2014): 224–29. http://dx.doi.org/10.4028/www.scientific.net/amm.619.224.

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Collaborative Robots or Cobots are passively assisted devices that are intended to work directly with human operators. We describe a Resizable Cobot that specially designed to expand or retract itself while moving along a specified path. In this paper, we propose and implement a 4-DOF path planning using a path length parameter. The computer simulation using Cobot Kinematic and the experiment result of the Resizable Cobot are provided.

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33

Castellani, Leonardo. "History operators in quantum mechanics." International Journal of Quantum Information 17, no. 08 (2019): 1941001. http://dx.doi.org/10.1142/s0219749919410016.

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It is convenient to describe a quantum system at all times by means of a “history operator” [Formula: see text], encoding measurements and unitary time evolution between measurements. These operators naturally arise when computing the probability of measurement sequences, and generalize the “sum over position histories” of the Feynman path-integral. As we argue in this work, this description has some computational advantages over the usual state vector description, and may help to clarify some issues regarding nonlocality of quantum correlations and collapse. A measurement on a system describe

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34

Xue, Yang. "Mobile Robot Path Planning with a Non-Dominated Sorting Genetic Algorithm." Applied Sciences 8, no. 11 (2018): 2253. http://dx.doi.org/10.3390/app8112253.

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In many areas, such as mobile robots, video games and driverless vehicles, path planning has always attracted researchers’ attention. In the field of mobile robotics, the path planning problem is to plan one or more viable paths to the target location from the starting position within a given obstacle space. Evolutionary algorithms can effectively solve this problem. The non-dominated sorting genetic algorithm (NSGA-II) is currently recognized as one of the evolutionary algorithms with robust optimization capabilities and has solved various optimization problems. In this paper, NSGA-II is adop

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35

Lewis, Michael, Huadong Wang, Shih Yi Chien, Prasanna Velagapudi, Paul Scerri, and Katia Sycara. "Process and Performance in Human-Robot Teams." Journal of Cognitive Engineering and Decision Making 5, no. 2 (2011): 186–208. http://dx.doi.org/10.1177/1555343411409323.

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The authors are developing a theory for human control of robot teams based on considering how control difficulty grows with team size. Current work focuses on domains, such as foraging, in which robots perform largely independent tasks. Such tasks are particularly amenable to analysis because effects on performance and cognitive resources are predicted to be additive, and tasks can safely be allocated across operators because of their independence. The present study addresses the interaction between automation and organization of human teams in controlling large robot teams performing an urban

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36

Booss-Bavnbek, Bernhelm, Matthias Lesch, and John Phillips. "Unbounded Fredholm Operators and Spectral Flow." Canadian Journal of Mathematics 57, no. 2 (2005): 225–50. http://dx.doi.org/10.4153/cjm-2005-010-1.

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AbstractWe study the gap (= “projection norm” = “graph distance”) topology of the space of all (not necessarily bounded) self-adjoint Fredholm operators in a separable Hilbert space by the Cayley transformand direct methods. In particular, we show the surprising result that this space is connected in contrast to the bounded case. Moreover, we present a rigorous definition of spectral flow of a path of such operators (actually alternative but mutually equivalent definitions) and prove the homotopy invariance. As an example, we discuss operator curves on manifolds with boundary.

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37

BERAKDAR, J. "SCATTERING PATH FORMALISM FOR THE PROPAGATION OF INTERACTING COMPOUNDS IN ORDERED AND DISORDERED MATERIALS." Surface Review and Letters 07, no. 03 (2000): 205–10. http://dx.doi.org/10.1142/s0218625x00000257.

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This study presents a theoretical framework for the propagation of a compound consisting of N interacting particles in a multicenter potential. A novel Green operator approach is proposed that disentangles the geometrical and dynamical properties of the scatterers from the internal evolution of the projectile compound. Furthermore, the transition operator for the scattering from the multicenter potential is expanded in terms of many-body scattering path operators, which in turn are expressed in terms of single site transition operators that are amenable to computations. To deduce the correlate

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38

Izuchi, Kei Ji, Yuko Izuchi, and Shûichi Ohno. "Path connected components in weighted composition operators on $h^\infty $ and $H^\infty $ with the operator norm." Transactions of the American Mathematical Society 365, no. 7 (2012): 3593–612. http://dx.doi.org/10.1090/s0002-9947-2012-05730-8.

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39

Izuchi, Kei Ji, and Yuko Izuchi. "PATH CONNECTED COMPONENTS IN THE SPACES OF NONZERO WEIGHTED COMPOSITION OPERATORS WITH THE STRONG OPERATOR TOPOLOGY I." International Journal of Functional Analysis, Operator Theory and Applications 7, no. 3 (2016): 161–76. http://dx.doi.org/10.17654/fa007030161.

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40

Mengestie, Tesfa. "Path connected components of the space of Volterra-type integral operators." Archiv der Mathematik 111, no. 4 (2018): 389–98. http://dx.doi.org/10.1007/s00013-018-1193-x.

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41

Merveille, Odyssee, Hugues Talbot, Laurent Najman, and Nicolas Passat. "Curvilinear Structure Analysis by Ranking the Orientation Responses of Path Operators." IEEE Transactions on Pattern Analysis and Machine Intelligence 40, no. 2 (2018): 304–17. http://dx.doi.org/10.1109/tpami.2017.2672972.

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42

Doerr, Benjamin, Daniel Johannsen, Timo Kötzing, Frank Neumann, and Madeleine Theile. "More effective crossover operators for the all-pairs shortest path problem." Theoretical Computer Science 471 (February 2013): 12–26. http://dx.doi.org/10.1016/j.tcs.2012.10.059.

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43

Hall, Randall W. "Formally exact path integral Monte Carlo calculations using approximate projection operators." Journal of Chemical Physics 97, no. 9 (1992): 6481–84. http://dx.doi.org/10.1063/1.463709.

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44

Šlapal, Josef. "Path-induced closure operators on graphs for defining digital Jordan surfaces." Open Mathematics 17, no. 1 (2019): 1374–80. http://dx.doi.org/10.1515/math-2019-0121.

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Abstract Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and consider the closure operators on ℤm (m a positive integer) that are induced by a special product of m copies of the introduced set of paths. We focus on the case m = 3 and show that the closure operator considered provides the digital space ℤ3 with a connectedness that may be used for defining digital surfaces satisfying a Jordan surface th

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45

Ichinose, Takashi. "On Three Magnetic Relativistic Schrödinger Operators and Imaginary-Time Path Integrals." Letters in Mathematical Physics 101, no. 3 (2012): 323–39. http://dx.doi.org/10.1007/s11005-012-0573-6.

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46

Güneysu, Batu, and Matthias Keller. "Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs." Journal d'Analyse Mathématique 141, no. 2 (2020): 751–70. http://dx.doi.org/10.1007/s11854-020-0110-y.

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47

Wang, Yingzhi, Tailin Han, Xu Jiang, Yuhan Yan, and Hong Liu. "Path Planning of Pattern Transfer Based on Dual-Operator and a Dual-Population Ant Colony Algorithm for Digital Mask Projection Lithography." Entropy 22, no. 3 (2020): 295. http://dx.doi.org/10.3390/e22030295.

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In the process of digital micromirror device (DMD) digital mask projection lithography, the lithography efficiency will be enhanced greatly by path planning of pattern transfer. This paper proposes a new dual operator and dual population ant colony (DODPACO) algorithm. Firstly, load operators and feedback operators are used to update the local and global pheromones in the white ant colony, and the feedback operator is used in the yellow ant colony. The concept of information entropy is used to regulate the number of yellow and white ant colonies adaptively. Secondly, take eight groups of large

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48

Zhang, Chun Lei. "Research on Route Optimization of Dynamic Random Network Based on Genetic Algorithm." Advanced Materials Research 121-122 (June 2010): 792–96. http://dx.doi.org/10.4028/www.scientific.net/amr.121-122.792.

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The traditional algorithms of shortest path, different path and etc can only solve the path optimization problems of static network. Based on the fact of actual transport network as dynamic random network, the paper used method of shortest route to optimize the path. The solution of shortest route was on the basis of genetic algorithm. The paper designed operators of crossover, mutation and selection. In addition, the specific example of dynamic random network route selection based on the proposed algorithm also verified the feasibility of the algorithm.

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49

Li, Jianping, and Juanping Zhu. "The Capacity Expansion Path Problem in Networks." Journal of Applied Mathematics 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/156901.

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This paper considers the general capacity expansion path problem (GCEP) for the telecommunication operators. We investigate the polynomial equivalence between the GCEP problem and the constrained shortest path problem (CSP) and present a pseudopolynomial algorithm for the GCEP problem, no matter the graph is acyclic or not. Furthermore, we investigate two special versions of the GCEP problem. For the minimum number arc capacity expansion path problem (MN-CEP), we give a strongly polynomial algorithm based on the dynamic programming. For the minimum-cost capacity expansion shortest path problem

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50

Monjardet, Bernard, and Vololonirina Raderanirina. "The duality between the anti-exchange closure operators and the path independent choice operators on a finite set." Mathematical Social Sciences 41, no. 2 (2001): 131–50. http://dx.doi.org/10.1016/s0165-4896(00)00061-5.

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