Academic literature on the topic 'Fixed points'

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Journal articles on the topic "Fixed points"

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Farjoun, E. Dror, and A. Zabrodsky. "Fixed points and homotopy fixed points." Commentarii Mathematici Helvetici 63, no. 1 (December 1988): 286–95. http://dx.doi.org/10.1007/bf02566768.

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Fletcher, Alastair. "Fixed curves near fixed points." Illinois Journal of Mathematics 59, no. 1 (2015): 189–217. http://dx.doi.org/10.1215/ijm/1455203164.

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Boxer, Laurence, Ozgur Ege, Ismet Karaca, Jonathan Lopez, and Joel Louwsma. "Digital fixed points, approximate fixed points, and universal functions." Applied General Topology 17, no. 2 (October 3, 2016): 159. http://dx.doi.org/10.4995/agt.2016.4704.

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A. Rosenfeld [23] introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approximate fixed points of digitally continuous functions. Among these are several results concerning the relationship between universal functions and the approximate fixed point property (AFPP).
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Espínola, R., and W. A. Kirk. "FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES." Taiwanese Journal of Mathematics 5, no. 2 (June 2001): 405–16. http://dx.doi.org/10.11650/twjm/1500407346.

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Antinucci, Andrea, Massimo Bianchi, Salvo Mancani, and Fabio Riccioni. "Suspended fixed points." Nuclear Physics B 976 (March 2022): 115695. http://dx.doi.org/10.1016/j.nuclphysb.2022.115695.

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Beklemishev, Lev D., Dick de Jongh, Franco Montagna, and Alessandra Carbone. "Provable Fixed Points." Journal of Symbolic Logic 58, no. 2 (June 1993): 715. http://dx.doi.org/10.2307/2275233.

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Zlobec, Sanjo. "Characterizing fixed points." Croatian Operational Research Review 8, no. 1 (April 15, 2017): 351–56. http://dx.doi.org/10.17535/crorr.2017.0022.

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Brown, Robert F., and Jack E. Girolo. "Isolating Fixed Points." American Mathematical Monthly 109, no. 7 (August 2002): 595. http://dx.doi.org/10.2307/3072425.

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Brown, Robert F., and Jack E. Girolo. "Isolating Fixed Points." American Mathematical Monthly 109, no. 7 (August 2002): 595–611. http://dx.doi.org/10.1080/00029890.2002.11919891.

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De Jongh, Dick, and Franco Montagna. "Provable Fixed Points." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 34, no. 3 (1988): 229–50. http://dx.doi.org/10.1002/malq.19880340307.

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Dissertations / Theses on the topic "Fixed points"

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Hendtlass, Matthew. "Constructing fixed points and economic equilibria." Thesis, University of Leeds, 2013. http://etheses.whiterose.ac.uk/4973/.

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Constructive mathematics is mathematics with intuitionistic logic (together with some appropriate, predicative, foundation)-it is often crudely characterised as mathematics without the law of excluded middle. The intuitionistic interpretation of the connectives and quantifiers ensure that constructive proofs contain an inherent algorithm which realises the computational content of the result it proves, and, in contrast to results from computable mathematics, these inherent algorithms come with fixed rates of convergence. The value of a constructive proof lies in the vast array of models for constructive mathematics. Realizability models and the interpretation of constructive ZF set theory into Martin Löf type theory allows one to view constructive mathematics as a high level programing language, and programs have been extracted and implemented from constructive proofs. Other models, including topological forcing models, of constructive set theory can be used to prove metamathematical results, for example, guaranteeing the (local) continuity of functions or algorithms. In this thesis we have highlighted any use of choice principles, and those results which do not require any choice, in particular, are valid in any topos. This thesis looks at what can and cannot be done in the study of the fundamental fixed point theorems from analysis, and gives some applications to mathematical economics where value is given to computability.
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Panicker, Rekha Manoj. "Some general convergence theorems on fixed points." Thesis, Rhodes University, 2014. http://hdl.handle.net/10962/d1013112.

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In this thesis, we first obtain coincidence and common fixed point theorems for a pair of generalized non-expansive type mappings in a normed space. Then we discuss two types of convergence theorems, namely, the convergence of Mann iteration procedures and the convergence and stability of fixed points. In addition, we discuss the viscosity approximations generated by (ψ ,ϕ)-weakly contractive mappings and a sequence of non-expansive mappings and then establish Browder and Halpern type convergence theorems on Banach spaces. With regard to iteration procedures, we obtain a result on the convergence of Mann iteration for generalized non-expansive type mappings in a Banach space which satisfies Opial's condition. And, in the case of stability of fixed points, we obtain a number of stability results for the sequence of (ψ,ϕ)- weakly contractive mappings and the sequence of their corresponding fixed points in metric and 2-metric spaces. We also present a generalization of Fraser and Nadler type stability theorems in 2-metric spaces involving a sequence of metrics.
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Morris, David. "Extending local analytic conjugacies between parabolic fixed points." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/102605/.

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The focus of this thesis is a study of the extension properties of local analytic conjugacies between simple parabolic fixed points. Any given conjugacy itself will generally not have an extension to the immediate basin. However, we show that if both maps belong to a suitable class (which includes polynomial-like maps and rational maps with a simply connected parabolic basin) then for all n large enough g on o X does have an analytic extension to the immediate parabolic basin. We begin by studying qualitative models for the dynamics near a parabolic fixed point, leading us to the Parabolic Flower Theorem. We then construct Fatou coordinates, which conjugate f to the unit translation, and study extension and properties of these maps. By restricting ourselves to the case when the restriction of f to its parabolic basin is a proper map with finitely many critical points we are able to study covering properties of these extended Fatou coordinates. We also introduce the horn map and lifted horn maps and show that the former is a complete invariant of the local analytic conjugacy class. Working from the covering properties of the horn map, we develop an intuition for how critical orbits of two maps f and g with locally conjugate simple parabolic fixed points should be related. In our main theorem, Theorem 3.1.10, we show that if both maps have a proper parabolic basin and is a local analytic conjugacy from (f; z0) to (g; w0) then for all n large enough, the map g on o X has an analytic extension along any curve starting in a region near z0 contained in the basin of z0. Under the additional assumption that the immediate basin is simply connected we can then conclude that the map Xn := g on o X has an analytic extension to a semi-conjugacy between the immediate basins whenever n is large enough.
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Jeganathan, P. "Fixed points for nonexpansive mappings in Banach spaces." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/17067.

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Lanzagorta, Marco. "Infra-red fixed points in supersymmetric Grand Unified theories." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318836.

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Simms, R. "Exploring higher dimensional quantum field theories through fixed points." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3028491/.

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Renormalization was popularised in the 1940s following the appearance of non- sensical infinities in the calculation of the self-energy of the electron. Notably this led to Quantum Electrodynamics becoming a fully renormalizable quantum field theory. One useful tool that emerges from the technical aspects of renormal- ization is the Renormalization Group. In particular, the β-function defines the variation of the coupling constants with energy. The vanishing of the β-function at a particular value of the coupling is known as a fixed point, the location of which can be found using perturbation theory. Properties of quantum field the- ories such as ultraviolet behaviour can be studied using these fixed points. The calculation of two different types of fixed points forms the spine of this thesis. In Part I the d-dimensional Wilson-Fisher fixed point is used to connect scalar quantum field theories in different space-time dimensions. Specifically we look at dimensions greater than four and explore the property of universality through the Vasil'ev large N expansion. Different universality classes are examined, the first contains φ4 theory with O(N) symmetry while another incorporates O(N)×O(m) Landau-Ginzburg-Wilson theory. In the latter we perform a full fixed point sta- bility analysis and conformal window search which determines where conformal symmetry is present. Part I develops techniques that may later be applicable to calculations involving beyond the Standard Model physics including asymptotic safety, quantum gravity and emergent symmetries. Part II focuses on the non-trivial Banks-Zaks fixed point of four dimensional Quantum Chromodynamics. Using a variety of colour groups and representations we calculate the location of the fixed point and corresponding critical exponents to pinpoint exactly where the true value of the conformal window lies. Additionally a number of different renormalization schemes are used, including the momentum subtraction (MOM) and interpolating momentum subtraction (iMOM) schemes. This allows us to study where in the conformal window scheme dependence is most apparent. Both the Landau gauge and maximal abelian gauge are utilized to extend the analysis. Throughout this thesis we compare and contrast perturbative results with non-perturbative calculations such as those performed in lattice.
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Kretz, Mathis. "Proof-theoretic aspects of modal logic with fixed points /." Bern : [s.n.], 2006. http://www.zb.unibe.ch/download/eldiss/06kretz_m.pdf.

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Matevosyan, Norayr. "Tangential Touch Between Free And Fixed Boundaries." Doctoral thesis, KTH, Mathematics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3559.

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Farmer, Matthew Ray. "Applications in Fixed Point Theory." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4971/.

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Banach's contraction principle is probably one of the most important theorems in fixed point theory. It has been used to develop much of the rest of fixed point theory. Another key result in the field is a theorem due to Browder, Göhde, and Kirk involving Hilbert spaces and nonexpansive mappings. Several applications of Banach's contraction principle are made. Some of these applications involve obtaining new metrics on a space, forcing a continuous map to have a fixed point, and using conditions on the boundary of a closed ball in a Banach space to obtain a fixed point. Finally, a development of the theorem due to Browder et al. is given with Hilbert spaces replaced by uniformly convex Banach spaces.
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Wimmer, Christian [Verfasser]. "Rational global homotopy theory and geometric fixed points / Christian Wimmer." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1149744863/34.

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Books on the topic "Fixed points"

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Shashkin, I͡U A. Fixed points. Providence, R.I: American Mathematical Society, Mathematical Association of America, 1991.

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Shashkin, Yu A. Fixed points. Providence,R.I: American Mathematical Society, 1991.

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Fixed points. [Providence, R.I.]: American Mathematical Society, 1991.

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Ben Amar, Afif, and Donal O'Regan. Topology and Approximate Fixed Points. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-92204-7.

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Yang, Zaifu. Computing Equilibria and Fixed Points. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4757-4839-0.

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Hollowood, Timothy J. Renormalization Group and Fixed Points. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36312-2.

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Iterative approximation of fixed points. 2nd ed. Berlin: Springer, 2007.

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Fixed points and economic equilibria. Singapore: World Scientific, 2010.

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Foryś, Wit. Fixed points of some operators defined on free monoids. Kraków: Nakładem Uniwersytetu Jagiellońskiego, 1992.

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Malcolm, McCormick, ed. No fixed points: Dance in the twentieth century. New Haven: Yale University Press, 2003.

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Book chapters on the topic "Fixed points"

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Borwein, Jonathan M., and Adrian S. Lewis. "Fixed Points." In Convex Analysis and Nonlinear Optimization, 179–208. New York, NY: Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-9859-3_8.

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Back, Ralph-Johan, and Joakim Wright. "Fixed Points." In Refinement Calculus, 317–27. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1674-2_19.

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Hu, Shouchuan, and Nikolas S. Papageorgiou. "Fixed Points." In Handbook of Multivalued Analysis, 517–82. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6359-4_5.

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Moschovakis, Yiannis N. "Fixed Points." In Notes on Set Theory, 73–92. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-4153-7_6.

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Dieudonné, Jean. "Fixed Points." In A History of Algebraic and Differential Topology, 1900 - 1960, 197–203. Boston: Birkhäuser Boston, 2009. http://dx.doi.org/10.1007/978-0-8176-4907-4_9.

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Akin, Ethan. "Fixed points." In Graduate Studies in Mathematics, 199–219. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/gsm/001/11.

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Kyriacou, Christos. "From Moral Fixed Points to Epistemic Fixed Points." In Metaepistemology, 71–95. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93369-6_4.

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McLennan, Andrew. "Computing Fixed Points." In Advanced Fixed Point Theory for Economics, 55–101. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0710-2_3.

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Manes, Ernest G., and Michael A. Arbib. "Canonical Fixed Points." In Algebraic Approaches to Program Semantics, 176–79. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4612-4962-7_7.

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Zavala-Rojas, Diana. "Fixed Reference Points." In Encyclopedia of Quality of Life and Well-Being Research, 2283–84. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-0753-5_1056.

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Conference papers on the topic "Fixed points"

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Litim, Daniel. "Fixed points of quantum gravity." In From Quantum to Emergent Gravity: Theory and Phenomenology. Trieste, Italy: Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.043.0024.

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Abello, James, and François Queyroi. "Fixed points of graph peeling." In ASONAM '13: Advances in Social Networks Analysis and Mining 2013. New York, NY, USA: ACM, 2013. http://dx.doi.org/10.1145/2492517.2492543.

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Li, Fuyi. "Fixed points of increasing operator." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0015.

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Barenbaum, Pablo, Eduardo Bonelli, and Kareem Mohamed. "Pattern Matching and Fixed Points." In PPDP '18: The 20th International Symposium on Principles and Practice of Declarative Programming. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3236950.3236972.

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Laird, J. "Fixed Points In Quantitative Semantics." In LICS '16: 31st Annual ACM/IEEE Symposium on Logic in Computer Science. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2933575.2934569.

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Tchier, Fairouz. "Demonic Semantics and Fixed Points." In 2009 International Conference on Computing, Engineering and Information (ICC). IEEE, 2009. http://dx.doi.org/10.1109/icc.2009.15.

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Yao, Gang, Giorgio Buttazzo, and Marko Bertogna. "Feasibility Analysis under Fixed Priority Scheduling with Fixed Preemption Points." In 2010 IEEE 16th International Conference on Embedded and Real-Time Computing Systems and Applications (RTCSA). IEEE, 2010. http://dx.doi.org/10.1109/rtcsa.2010.40.

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Sussner, P. "Fixed points of autoassociative morphological memories." In Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium. IEEE, 2000. http://dx.doi.org/10.1109/ijcnn.2000.861536.

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Litim, Daniel. "On fixed points of quantum gravity." In A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP, 2006. http://dx.doi.org/10.1063/1.2218188.

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Mardare, Radu, Prakash Panangaden, and Gordon Plotkin. "Fixed-Points for Quantitative Equational Logics." In 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2021. http://dx.doi.org/10.1109/lics52264.2021.9470662.

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Reports on the topic "Fixed points"

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Yao, Jen-Chih. Fixed points by Ishikawa iterations. Office of Scientific and Technical Information (OSTI), December 1989. http://dx.doi.org/10.2172/5213436.

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Egerland, Walter O., and Charles E. Hansen. Fixed Points of Expansive Analytic Maps (II). Fort Belvoir, VA: Defense Technical Information Center, September 1992. http://dx.doi.org/10.21236/ada254737.

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Matsikoudis, Eleftherios, and Edward A. Lee. On Fixed Points of Strictly Causal Functions. Fort Belvoir, VA: Defense Technical Information Center, April 2013. http://dx.doi.org/10.21236/ada583859.

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Froggatt, C. D., R. G. Moorhouse, and I. G. Knowles. Supersymmetric renormalisation group fixed points and third generation fermion mass predictions. Office of Scientific and Technical Information (OSTI), September 1992. http://dx.doi.org/10.2172/10141928.

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Meurice, Yannick, and Donald K. Sinclair. Final Report for "Infrared Fixed Points in Multiflavor Lattice Gauge Theory". Office of Scientific and Technical Information (OSTI), September 2013. http://dx.doi.org/10.2172/1094995.

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Scollan, D., Y. Azmy, and V. Protopopescu. Nonlinear maps with competitive interactions: Fixed-points, bifurcations, and chaotic attractors. Office of Scientific and Technical Information (OSTI), September 1989. http://dx.doi.org/10.2172/5536544.

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McLean, William E. A Comparison of Visual Fields with Fixed and Moving Fixation Points. Volume II. Fort Belvoir, VA: Defense Technical Information Center, September 2002. http://dx.doi.org/10.21236/ada406933.

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Samaniego de la Parra, Brenda, Andrea Otero-Cortés, and Leonardo Fabio Morales. The Labor Market Effects of Part-Time Contributions to Social Security: Evidence from Colombia. Banco de la República, October 2021. http://dx.doi.org/10.32468/dtseru.302.

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In 2014, Colombia implemented a policy that added flexibilization to labor contracts for part-time workers that reduced the quasi-fixed costs of employing formal workers. We find that the reform increased the probability of entering the formal sector within the targeted population: low-wage, part-time workers. We use administrative employer-employee matched data and leverage variation across cities and industries in demand for part-time work before the reform. We find that, after the tax reform, the change in the total number of formal workers is 6 percentage points higher at firms that use the new contracts relative to their counterparts that choose not to hire low-wage, formal, part-time workers under the new tax form. Mean daily wages temporarily declined after the reform.
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Rodier, Caroline, Andrea Broaddus, Miguel Jaller, Jeffery Song, Joschka Bischoff, and Yunwan Zhang. Cost-Benefit Analysis of Novel Access Modes: A Case Study in the San Francisco Bay Area. Mineta Transportation Institute, November 2020. http://dx.doi.org/10.31979/mti.2020.1816.

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The first-mile, last-mile problem is a significant deterrent for potential transit riders, especially in suburban neighborhoods with low density. Transit agencies have typically sought to solve this problem by adding parking spaces near transit stations and adding stops to connect riders to fixed-route transit. However, these measures are often only short-term solutions. In the last few years, transit agencies have tested whether new mobility services, such as ridehailing, ridesharing, and microtransit, can offer fast, reliable connections to and from transit stations. However, there is limited research that evaluates the potential impacts of these projects. Concurrently, there is growing interest in the future of automated vehicles (AVs) and the potential of AVs to solve this first-mile problem by reducing the cost of providing these new mobility services to promote access to transit. This paper expands upon existing research to model the simulate the travel and revenue impacts of a fleet of automated vehicles that provide transit access services in the San Francisco Bay Area offered over a range of fares. The model simulates a fleet of AVs for first-mile transit access at different price points for three different service models (door-to-door ridehailing and ridesharing and meeting point ridesharing services). These service models include home-based drop-off and pick-up for single passenger service (e.g., Uber and Lyft), home-based drop-off and pick-up for multi-passenger service (e.g., microtransit), and meeting point multi-passenger service (e.g., Via).
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Wei, J., and S. Y. Lee. Longitudinal Motion Near Unstable Fixed Point. Office of Scientific and Technical Information (OSTI), September 1988. http://dx.doi.org/10.2172/1119085.

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