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Relevant bibliographies by topics / Algebraic chains

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Academic literature on the topic 'Algebraic chains'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Algebraic chains"

1

De Sterck, H., T. A. Manteuffel, S. F. McCormick, K. Miller, J. Ruge, and G. Sanders. "Algebraic Multigrid for Markov Chains." SIAM Journal on Scientific Computing 32, no. 2 (2010): 544–62. http://dx.doi.org/10.1137/090753589.

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Fortunato, L., and W. A. de Graaf. ""Lost chains" in algebraic models." Journal of Physics: Conference Series 284 (March 1, 2011): 012025. http://dx.doi.org/10.1088/1742-6596/284/1/012025.

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Wang, Ying-Zhe, and Mu-Fa Chen. "Algebraic convergence of Markov chains." Annals of Applied Probability 13, no. 2 (2003): 604–27. http://dx.doi.org/10.1214/aoap/1050689596.

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Albeverio, Sergio, and Shao-Ming Fei. "Symmetry, Integrable Chain Models and Stochastic Processes." Reviews in Mathematical Physics 10, no. 06 (1998): 723–50. http://dx.doi.org/10.1142/s0129055x98000239.

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A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. As an example the chain models with An symmetry and the related Temperley–Lieb algebraic structures and representations are discussed. It is shown that corresponding to these An symmetric integrable chain models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains with transition matrices (resp. intensity matrices) having spectra which coincide with the ones of the correspondin

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Bagchi, Susmit. "Homotopy of Linearly Ordered Split–Join Chains in Covering Spaces of Foliated n-Manifold Charts." Symmetry 15, no. 3 (2023): 574. http://dx.doi.org/10.3390/sym15030574.

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Topological spaces can be induced by various algebraic ordering relations such as, linear, partial and the inclusion-ordering of open sets forming chains and chain complexes. In general, the classifications of covering spaces are made by using fundamental groups and lifting. However, the Riesz ordered n-spaces and Urysohn interpretations of real-valued continuous functions as ordered chains provide new perspectives. This paper proposes the formulation of covering spaces of n-space charts of a foliated n-manifold containing linearly ordered chains, where the chains do not form topologically sep

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Iachello, Francesco, and Piero Truini. "Algebraic Model of Anharmonic Polymer Chains." Annals of Physics 276, no. 1 (1999): 120–43. http://dx.doi.org/10.1006/aphy.1999.5940.

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Zhao, Pan. "Strong Stationary Duality and Algebraic Duality for Continuous Time Möbius Monotone Markov Chains." International Journal of Applied Mathematics and Machine Learning 15, no. 2 (2021): 69–86. http://dx.doi.org/10.18642/ijamml_710012241.

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Under the assumption of Möbius monotonicity, we develop the theory of strong stationary duality for continuous time Markov chains on the finite partially ordered state space, we also construct a nonexplosive algebraic duality for continuous time Markov chains on Finally, we present an application to the two-dimensional birth and death chain.

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Lee, C.-C., and J. M. Hervé. "Discontinuously Movable Seven-Link Mechanisms Via Group-Algebraic Approach." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 219, no. 6 (2005): 577–87. http://dx.doi.org/10.1243/095440605x31436.

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Combining planar and spherical 4R chains generates three kinds of new discontinuously movable (DM) seven-link mechanisms. The mobility analysis is based on algebraic concepts of set theory. These mechanisms are called hybrid planar-spherical 7R, hybrid spherical-spherical 7R, and hybrid planar-planar 6RIP DM mechanisms. Their discontinuous mobility is explained employing the Lie group algebraic properties of the displacement set. Moreover, the same given spatial arrangement of joints can be linked in two ways constituting two distinct chains, which have a quite different mobility. One chain ha

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Brown, Ronald, and Philip J. Higgins. "Crossed complexes and chain complexes with operators." Mathematical Proceedings of the Cambridge Philosophical Society 107, no. 1 (1990): 33–57. http://dx.doi.org/10.1017/s0305004100068353.

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Chain complexes with a group of operators are a well known tool in algebraic topology, where they arise naturally as the chain complex of cellular chains of the universal cover of a reduced CW-complex X. The group of operators here is the fundamental group of X.

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Hlavaty, L. "Generalized algebraic framework for open spin chains." Journal of Physics A: Mathematical and General 27, no. 16 (1994): 5645–53. http://dx.doi.org/10.1088/0305-4470/27/16/028.

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Dissertations / Theses on the topic "Algebraic chains"

1

Potts, Jonathan R. "Algebraic structures on singular (co)chains." Thesis, University of Warwick, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.439641.

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Satta, Giovanni. "Algebraic approach to supersymmetric integrable spin chains." Chambéry, 2008. http://www.theses.fr/2008CHAMS001.

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Cette thèse est consacrée à l'étude de la théorie mathématique sous-tendant la construction et la solution d'une classe particulière de systèmes quantiques exactement résolubles : son objectif est d'utiliser les superalgèbres de Lie comme un outil pour construire et résoudre les chaînes de spins intégrales. Nous développons une approche générale et systématique premettant de construire et traiter simultanément une large classe de systèmes intégrables partageant la même supersymétrie, allant du cas bien connu où tous les sites portent la représentation fondamentale (par exemple le modèle t-J) à

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Pflueger, Nathan K. "Regeneration of Elliptic Chains with Exceptional Linear Series." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11615.

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We study two dimension estimates regarding linear series on algebraic curves. First, we generalize the classical Brill-Noether theorem to many cases where the Brill-Noether number is negative. Second, we extend results of Eisenbud, Harris, and Komeda on the existence of Weierstrass points with certain semigroups, by refining their dimension estimate in light of combinatorial considerations. Both results are proved by constructing chains of elliptic curves, joined at pairs of points differed by carefully chosen orders of torsion, and smoothing these chains. These arguments lead to several combi

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Farlow, Kasie Geralyn. "Max-Plus Algebra." Thesis, Virginia Tech, 2009. http://hdl.handle.net/10919/32191.

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In max-plus algebra we work with the max-plus semi-ring which is the set ℝ<sub>max</sub>=[-∞)∪ℝ together with operations 𝑎⊕𝑏 = max(𝑎,𝑏) and 𝑎⊗𝑏= 𝑎+𝑏. The additive and multiplicative identities are taken to be ε=-∞ and ε=0 respectively. Max-plus algebra is one of many idempotent semi-rings which have been considered in various fields of mathematics. Max-plus algebra is becoming more popular not only because its operations are associative, commutative and distributive as in conventional algebra but because it takes systems that are non-linear in conventional algebra and makes them linear. Max-p

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Scharfenberger-Fabian, Gido [Verfasser]. "Subalgebras of small Souslin Algebras and maximal chains in Souslin Algebras / Gido Scharfenberger-Fabian." Berlin : Freie Universität Berlin, 2008. http://d-nb.info/1023258641/34.

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Filali, Amine Ghali. "Dynamical reflection algebras and associated boundary integrable models." Thesis, Cergy-Pontoise, 2011. http://www.theses.fr/2011CERG0567/document.

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Cette thèse s’inscrit dans le cadre général de la théorie des systèmes intégrables avec bords et le développement des structures algébriques associées.D’une part, nous nous attaquons au problème de la diagonalisation de l’hamiltonien du modèle XXZ avec bords non diagonaux. Nous exhibons les deux ensembles d’états propres et valeurs propres du modèle si les paramètres de bords satisfont deux conditions.D’autre part, nous introduisons un modèle de physique statistique que nous appelons le modèle face avec un bord réfléchissant. Nous calculons exactement sa fonction de partition et nous montrons

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Milios, Dimitrios. "On approximating the stochastic behaviour of Markovian process algebra models." Thesis, University of Edinburgh, 2014. http://hdl.handle.net/1842/8930.

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Markov chains offer a rigorous mathematical framework to describe systems that exhibit stochastic behaviour, as they are supported by a plethora of methodologies to analyse their properties. Stochastic process algebras are high-level formalisms, where systems are represented as collections of interacting components. This compositional approach to modelling allows us to describe complex Markov chains using a compact high-level specification. There is an increasing need to investigate the properties of complex systems, not only in the field of computer science, but also in computational biology.

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Moeller, Todd Keith. "Conley-Morse Chain Maps." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7221.

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We introduce a new class of Conley-Morse chain maps for the purpose of comparing the qualitative structure of flows across multiple scales. Conley index theory generalizes classical Morse theory as a tool for studying the dynamics of flows. The qualitative structure of a flow, given a Morse decomposition, can be stored algebraically as a set of homology groups (Conley indices) and a boundary map between the indices (a connection matrix). We show that as long as the qualitative structures of two flows agree on some, perhaps coarse, level we can construct a chain map between the correspond

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Ditsche, Jochen. "Pseudodifferential analysis in Y*-algebras [psi*-algebras] on transmission spaces, infinite solving ideal chains and K-theory for conformally compact spaces." Aachen Shaker, 2008. http://d-nb.info/988688409/04.

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Fiala, Jan. "Statistical Mechanics of Farey Fraction Spin Chain Models." Fogler Library, University of Maine, 2004. http://www.library.umaine.edu/theses/pdf/FialaJ2004.pdf.

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Books on the topic "Algebraic chains"

1

Lorimer, J. W. Michael. Compact right chain rings. Dept. of Mathematics, University of Toronto, 1990.

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D, Meyer C., and Plemmons Robert J, eds. Linear algebra, Markov chains, and queueing models. Springer-Verlag, 1993.

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Baker, C. A. Local alternative rings and finite alternative right chain rings. Dept. of Mathematics, University of Toronto, 1989.

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Convegno Internationale Algebraic Theory of Superselection Sectors and Field Theory (1989 Palermo, Italy). The algebraic theory of superselection sectors: Introduction and recent results : proceedings of the Convegno internationale algebraic theory of superselection sectors and field theory, Palermo (Italy), November 23-30, 1989. Edited by Kastler Daniel and Istituto Scientifico Internationale G.B. Guccia. World Scientific, 1990.

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author, Raina A. K., and Rozhkovskaya Natasha author, eds. Bombay lectures on highest weight representations of infinite dimensional lie algebras. World Scientific, 2013.

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K, Raina A., ed. Bombay lectures on highest weight representations of infinite dimensional lie algebras. World Scientific, 1987.

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Session, Ring Theory. Ring theory and its applications: Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH. Edited by Lam, T. Y. (Tsit-Yuen), 1942- honouree, Huynh, Dinh Van, 1947- editor of compilation, and Ohio State-Denison Mathematics Conference. American Mathematical Society, 2014.

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Basterra, Maria, Kristine Bauer, Kathryn Hess, and Brenda Johnson. Women in topology: Collaborations in homotopy theory : WIT, Women in Topology Workshop, August 18-23, 2013, Banff International Research Station, Banff, Alberta, Canada. American Mathematical Society, 2015.

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Shapiro, Helene. Linear Algebra And Matrices: Topics For A Second Course. American Mathematical Society, 2015.

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France) International Conference on Noncommutative Rings and Their Applications (2013 Artois. Noncommutative rings and their applications: International Conference on Noncommutative Rings and Their Applications, July 1-4, 2013, University of Artois, France. Edited by Dougherty Steven 1966 editor, Facchini Alberto editor, Leroy, Andre (Andre Gerard), 1955- editor, Puczylowski Edmund editor, and Sole Patrick 1960 editor. American Mathematical Society, 2015.

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Book chapters on the topic "Algebraic chains"

1

Darnel, Michael R. "Disjoint Conjugate Chains." In Ordered Algebraic Structures. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1723-4_3.

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Ayyer, Arvind, Steven Klee, and Anne Schilling. "Markov Chains for Promotion Operators." In Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0938-4_13.

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McCarthy, J. Michael, and Gim Song Soh. "Algebraic Synthesis of Spatial Chains." In Interdisciplinary Applied Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7892-9_13.

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McCarthy, J. Michael, and Gim Song Soh. "Algebraic Synthesis of Planar Chains." In Interdisciplinary Applied Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7892-9_5.

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McCarthy, J. Michael, and Gim Song Soh. "Algebraic Synthesis of Spherical Chains." In Interdisciplinary Applied Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7892-9_9.

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Glass, A. M. W., and Stephen H. McCleary. "Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains." In Ordered Algebraic Structures. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1723-4_4.

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Rolletschek, Heinrich. "Shortest division chains in imaginary quadratic number fields." In Symbolic and Algebraic Computation. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51084-2_21.

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Krieger, Udo R. "Numerical Solution of Large Finite Markov Chains by Algebraic Multigrid Techniques." In Computations with Markov Chains. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2241-6_23.

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Bradford, Russell, Changbo Chen, James H. Davenport, Matthew England, Marc Moreno Maza, and David Wilson. "Truth Table Invariant Cylindrical Algebraic Decomposition by Regular Chains." In Computer Algebra in Scientific Computing. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10515-4_4.

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Alpay, Natanael, and Peter Jipsen. "Commutative Doubly-Idempotent Semirings Determined by Chains and by Preorder Forests." In Relational and Algebraic Methods in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43520-2_1.

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Conference papers on the topic "Algebraic chains"

1

Poles, Alessandro, Catherine Azzaro-Pantel, Henri Schneider, and Renato Luise. "Optimization of hydrogen system deployment via environmental and economic life cycle assessment." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.121439.

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Hydrogen is increasingly recognized as a key player in future energy systems. However, its production technologies�Steam Methane Reforming (SMR) and electrolysis�present trade-offs. SMR, the dominant method, is cost-effective but has a significant carbon footprint, emitting substantial greenhouse gases (GHGs). In contrast, electrolysis, powered by renewable energy sources, offers a cleaner alternative, albeit at a higher cost. While current hydrogen system optimizations primarily focus on cost reduction and GHG mitigation, they often neglect broader environmental impacts. This paper addresses

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Robinson, James D., and M. John D. Hayes. "The Kinematics of A-Pair Jointed Serial Linkages." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28673.

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A new kinematic pair called an algebraic screw pair, or A-pair, is introduced that utilizes the self-motions inherent to a specific configuration of Griffis-Duffy platform. Using the A-pair as a joint in a hybrid parallel-serial kinematic chain results in a sinusoidal coupling of rotation and translation between adjacent links. This motion affects both the direct and inverse kinematics of such chains. Presented in this paper are the direct kinematics of chains using A-pairs and an algorithm for the inverse kinematics of a 4A-pair chain.

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Chen, Changbo, and Marc Moreno Maza. "Quantifier elimination by cylindrical algebraic decomposition based on regular chains." In the 39th International Symposium. ACM Press, 2014. http://dx.doi.org/10.1145/2608628.2608666.

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Lee, Chung-Ching, Jeng-Hsiung Lee, and Po-Chih Lee. "Dimensional Mobility Criteria of Planar 6T-9R Paradoxical Chains." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70916.

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Focusing on the structural type of 6 ternary links and 9 revolute pairs (denoted 6T-9R), which stems from the commercialized Expanda-Triangles construction toy, we conduct in-depth study on the mobility constraints of the generalized planar 6T-9R paradoxical chains. According to Grübler criterion, the degree of freedom (DoF) of the chains of this type is minus 3 and they should have no constrained motion. However, due to the special dimensional constraints (Euclidean metric), some of such paradoxical mechanisms can still have the full-cycle mobility. To identify the dimensional constraints of

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Maillet, Jean-Michel. "Correlation Functions of Heisenberg Spin Chains : the Algebraic Bethe Ansatz Approach." In BETHE ANSATZ: 75 YEARS LATER. Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.038.0008.

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Chen, Dake, Chunxiao Lin, and Peter A. Beerel. "GF-Flush: A GF(2) Algebraic Attack on Dynamically Secured Scan Chains." In 2021 IEEE International Symposium on Defect and Fault Tolerance in VLSI and Nanotechnology Systems (DFT). IEEE, 2021. http://dx.doi.org/10.1109/dft52944.2021.9568356.

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Lee, Chung-Ching, and Jacques M. Herve´. "Three Novel Discontinuously Movable Spatial 7-Link Mechanisms." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99386.

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Three kinds of new discontinuously movable (DM) spatial 7-link mechanisms named hybrid planar-spherical 7R, hybrid spherical-spherical 7R, and hybrid planar-planar 6R1P DM mechanisms are synthesized by combining planar and spherical 4R trivial chains. Their discontinuous mobility is explained using the Lie group algebraic properties of the displacement set. In addition, the same given spatial arrangement of joints can be linked in two ways thus constituting two distinct chains with a quite different mobility. One chain has two global degrees of freedom (dofs), which disobey the general Grubler

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Kiriakidis, Kiriakos, and George Nakos. "Algebraic Criteria for Qualitative Analysis of Nonlinear Dynamics in Biochemistry." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2145.

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Aggregate modeling can approximate the convex hull of local matrices to nonlinear dynamics for any given accuracy. The authors use aggregate models to extend sufficient conditions for asymptotic stability of linear differential inclusions to nonlinear dynamics. An example illustrates the applicability of the proposed criteria to the analysis of nonlinear biochemical reaction chains.

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Purwar, Anurag, Jun Wu, Aditya Gupta, and Q. Jeffrey Ge. "A Visual, Interactive Approach to Synthesis of Spherical 6R Closed Chains for Rational Motions via Constraint Manifold Modification." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28874.

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In this paper, we present an interactive, visual design approach for the dimensional synthesis of spherical 6R closed chains for a given rational motion using constraint manifold modification. This work is an extension of our previous work on the dimensional synthesis of planar 6R closed chains using the aforementioned approach. The theoretical underpinning of this work is based on representation of spherical displacements by quaternions and the kinematic mapping approach. In this way, motion of the coupler of a spherical 6R chain motion maps to a rational curve and the kinematic constraints o

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Robson, Nina, and Anurag Tolety. "Geometric Design of Spherical Serial Chains With Curvature Constraints in the Environment." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47263.

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This paper builds up on recent results on planar kinematic synthesis with contact direction and curvature constraints on the workpiece. We consider the synthesis of spherical serial chains to guide a rigid body, such that it does not violate normal direction and curvature constraints imposed by contact with objects in the environment. We show how to derive these constraints from the geometry of the task and transform them into conditions on velocity and acceleration of points in the moving body to obtain synthesis equations which can be solved by algebraic elimination. Trajectory interpolation

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