Relevant bibliographies by topics / Archimedean fields

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Archimedean fields'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Archimedean fields"

1

Schleiermacher, Adolf. "On Archimedean Fields." Journal of Geometry 92, no. 1-2 (2009): 143–73. http://dx.doi.org/10.1007/s00022-008-2098-9.

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Ahmad, Owais, Firdous A. Shah, and Neyaz A. Sheikh. "Gabor frames on non-Archimedean fields." International Journal of Geometric Methods in Modern Physics 15, no. 05 (2018): 1850079. http://dx.doi.org/10.1142/s0219887818500792.

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In this paper, we introduce the concept of periodic Gabor frames on non-Archimedean fields of positive characteristic. We first establish a necessary and sufficient condition for a periodic Gabor system to be a Gabor frame for [Formula: see text]. Then, we present some equivalent characterizations of Parseval Gabor frames on non-Archimedean fields by means of some fundamental equations in the time domain. Finally, potential applications of Gabor frames on non-Archimedean fields are also discussed.
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Ludkovsky, S. V. "Line antiderivations over local fields and their applications." International Journal of Mathematics and Mathematical Sciences 2005, no. 2 (2005): 263–309. http://dx.doi.org/10.1155/ijmms.2005.263.

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A non-Archimedean antiderivational line analog of the Cauchy-type line integration is defined and investigated over local fields. Classes of non-Archimedean holomorphic functions are defined and studied. Residues of functions are studied; Laurent series representations are described. Moreover, non-Archimedean antiderivational analogs of integral representations of functions and differential forms such as the Cauchy-Green, Martinelli-Bochner, Leray, Koppelman, and Koppelman-Leray formulas are investigated. Applications to manifold and operator theories are studied.
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Redfield, R. H. "Constructing lattice-ordered fields and division rings." Bulletin of the Australian Mathematical Society 40, no. 3 (1989): 365–69. http://dx.doi.org/10.1017/s0004972700017391.

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Neumann's totally ordered power series fields and division rings may be tipped over to form archimedean lattice-ordered fields and division rings. This process is described and then generalised to produce non-archimedean lattice-ordered fields and division rings in which 1 > 0 and, as well, ones in which 1 ≯ 0.
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Natarajan, P. N. "Weighted means in non-archimedean fields." Annales mathématiques Blaise Pascal 2, no. 1 (1995): 191–200. http://dx.doi.org/10.5802/ambp.30.

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Ludkovsky, S., and B. Diarra. "Spectral integration and spectral theory for non-Archimedean Banach spaces." International Journal of Mathematics and Mathematical Sciences 31, no. 7 (2002): 421–42. http://dx.doi.org/10.1155/s016117120201150x.

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Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators may be nonanalytic. There are different types of Banach spaces over non-Archimedean fields. We have determined the spectrum of some closed commutative subalgebras of the Banach algebraℒ(E)of the continuous linear operators on a free Banach spaceEgenerated by projectors. We investigate the spectral integration of non-Archimedean Banach algebras. We define a spectral measure and prove several properties. We prove the non-Archimedean analog of Stone theorem. It also contains the case ofC-algebrasC∞(X
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MELZER, EZER. "NONARCHIMEDEAN CONFORMAL FIELD THEORIES." International Journal of Modern Physics A 04, no. 18 (1989): 4877–908. http://dx.doi.org/10.1142/s0217751x89002065.

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We present a general formalism for conformal field theories defined on a non-Archimedean field. Such theories are defined by complex-valued correlation functions of fields of a [Formula: see text]-adic variable. Conformal invariance is imposed by requiring the correlation functions to be unchanged under fractional linear transformations, the latter forming the full analogue of the conformal group in two-dimensional, euclidean space-time. All fields in the theory can be taken to be "primary", under the "non-Archimedean conformal group". The conformal symmetry fixes completely the form of all co
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Khrennikov, A. Yu. "Quantum mechanics over non-Archimedean number fields." Theoretical and Mathematical Physics 83, no. 3 (1990): 623–32. http://dx.doi.org/10.1007/bf01018032.

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Lüdkovsky, S. V. "Non-Archimedean valued quasi-invariant descending at infinity measures." International Journal of Mathematics and Mathematical Sciences 2005, no. 23 (2005): 3799–817. http://dx.doi.org/10.1155/ijmms.2005.3799.

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Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. Moreover, their characteristic functionals are considered. In particular, measures having convolution properties like classical Gaussian measures are investigated in the paper. Applications of such measures to pseudodifferential operators and stochastic processes are considered. Nevertheless, it is proved that there does not exist the complete non-Archimedean analog of Gaussian measures. Theorems about either e
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Ludkovsky, S. V. "Stochastic processes and antiderivational equations on non-Archimedean manifolds." International Journal of Mathematics and Mathematical Sciences 2004, no. 31 (2004): 1633–51. http://dx.doi.org/10.1155/s016117120421225x.

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Stochastic processes on manifolds over non-Archimedean fields and with transition measures having values in the fieldℂof complex numbers are studied. Stochastic antiderivational equations (with the non-Archimedean time parameter) on manifolds are investigated.
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Dissertations / Theses on the topic "Archimedean fields"

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Garcia, Ramirez Erick. "Non-archimedean stratifications in T-convex fields." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/18362/.

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We prove that whenever T is a power-bounded o-minimal theory, t-stratifications exist for definable maps and sets in T-convex fields. To this effect, a thorough analysis of definability in T-convex fields is carried out. One of the conditions required for the result above is the Jacobian property, whose proof in this work is a long and technical argument based on an earlier proof of this property for valued fields with analytic structure. An example is given to illustrate that t-stratifications do not exist in general when T is not power-bounded. We also show that if T is power-bounded, the th
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Yang, Zifeng. "Non-Archimedean analysis over function fields with positive characteristic /." The Ohio State University, 1999. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488193272069457.

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Vollmer, Philipp [Verfasser], and Klaus [Akademischer Betreuer] Künnemann. "Arithmetic Divisors on Products of Curves over non-Archimedean Fields / Philipp Vollmer. Betreuer: Klaus Künnemann." Regensburg : Universitätsbibliothek Regensburg, 2016. http://d-nb.info/1110148542/34.

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Longhi, Ignazio. "Non-archimedean integration and special values of L-functions for elliptic curves over function fields." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=36821.

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Let F be a global function field of characteristic p, infinity a fixed place of F. The analytic uniformization of elliptic curves in characteristic p by means of Drinfeld modular curves is used to associate to an elliptic curve E over F with split multiplicative reduction at infinity a measure muE on P1Finfinity . By choosing an appropriate embedding of a quadratic extension K/F into the matrix algebra M 2(F), the measure muE is pushed forward to a measure on the p-adic group G, isomorphic to an anticyclotomic Galois group over the Hilbert class field of K. It is proven that integration of thi
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Stewart, Allen. "Motivic Integral of K3 Surfaces over a Non-Archimedean Field." Thesis, University of Oregon, 2014. http://hdl.handle.net/1794/18418.

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We prove a formula expressing the motivic integral of a K3 surface over C((t)) with semi-stable reduction in terms of the associated limit mixed Hodge structure. Secondly, for every smooth variety over a complete discrete valuation field we define an analogue of the monodromy pairing, constructed by Grothendieck in the case of Abelian varieties, and prove that our monodromy pairing is a birational invariant of the variety. Finally, we propose a conjectural formula for the motivic integral of maximally degenerate K3 surfaces over an arbitrary complete discrete valuation field and prove this
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Machado, Geovani Pereira. "Introdução à análise não standard." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-18022019-171451/.

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A área conhecida como Análise Não Standard consiste na aplicação dos métodos da Teoria dos Modelos e da Teoria dos Ultrafiltros para a obtenção de extensões peculiares de sistemas matemáticos infinitos. As novas estruturas construídas segundo esse procedimento satisfazem ao Princípio da Transferência, uma propriedade de suma importância e influência a qual afirma que as mesmas sentenças de primeira ordem com quantificadores limitados são verdadeiras para o sistema original e a sua extensão. Concebida em 1961 por Abraham Robinson e aprimorada por vários matemáticos nos anos subsequentes, tal ár
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Frailey, Conor Nelson. "Representations of the General Linear Groupoid Over a Non-Archimedean Local Field." Thesis, Yale University, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3580686.

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Hellström, Lars. "The Diamond Lemma for Power Series Algebras." Doctoral thesis, Umeå University, Mathematics and Mathematical Statistics, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-92.

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<p>The main result in this thesis is the generalisation of Bergman's diamond lemma for ring theory to power series rings. This generalisation makes it possible to treat problems in which there arise infinite descending chains. Several results in the literature are shown to be special cases of this diamond lemma and examples are given of interesting problems which could not previously be treated. One of these examples provides a general construction of a normed skew field in which a custom commutation relation holds.</p><p>There is also a general result on the structure of totally ordered semig
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Fang, Yanbo. "Study of positively metrized line bundles over a non-Archimedean field via holomorphic convexity." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7033.

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Ce mémoire de thèse est consacré à l'étude de fibré en droites semipositif en géométrie analytique non-Archimédienne, par un point de vue d'analyse fonctionnelle sur un corps ultramétrique en exploitant la géométrie de la convexité holomorphe. Le premier chapitre recueille quelques préliminaires pour l'algèbre de Banach sur un corps ultramétrique et la géométrie de son spectre au sens de Berkovich, le cadre dans lequel l'étude est effectuée. Le deuxième chapitre présente la construction de base, qui encode la géométrie intervenante dans certaines algèbres de Banach. On associe une algèbre norm
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Lindahl, Karl-Olof. "On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point." Doctoral thesis, Växjö : Växjö University Press, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1713.

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Books on the topic "Archimedean fields"

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Hu, Pei-Chu. Meromorphic functions over non-archimedean fields. Kluwer Academic Publishers, 2000.

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Hu, Pei-Chu. Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000.

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Hu, Pei-Chu, and Chung-Chun Yang. Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8.

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Hendricus, Schikhof Wilhelmus, ed. Locally convex spaces over non-Archimedean valued fields. Cambridge University Press, 2010.

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Perez-Garcia, C. Locally convex spaces over non-Archimedean valued fields. Cambridge University Press, 2009.

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Pseudo-differential equations and stochastics over non-Archimedean fields. Marcel Dekker, 2001.

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Spectral theory and analytic geometry over non-Archimedean fields. American Mathematical Society, 1990.

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8

International Conference on p-Adic and Non-Archimedean Analysis (10th 2008 Michigan State University). Advances in p-adic and non-Archimedean analysis: Tenth International Conference on p-Adic and Non-Archimedean Analysis, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. Edited by Berz M and Shamseddine Khodr 1966-. American Mathematical Society, 2010.

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9

Motivic integration and its interactions with model theory and non-Archimedean geometry. Cambridge University Press, 2011.

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M, Berz, and Shamseddine Khodr 1966-, eds. Advances in p-adic and non-Archimedean analysis: Tenth International Conference, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan. American Mathematical Society, 2010.

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Book chapters on the topic "Archimedean fields"

1

Diagana, Toka, and François Ramaroson. "Non-Archimedean Valued Fields." In SpringerBriefs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27323-5_1.

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Hauenstein, Jonathan D., Victor Y. Pan, and Agnes Szanto. "A Note on Global Newton Iteration Over Archimedean and Non-Archimedean Fields." In Computer Algebra in Scientific Computing. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10515-4_15.

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Werner, Annette. "Analytification and Tropicalization Over Non-archimedean Fields." In Nonarchimedean and Tropical Geometry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30945-3_6.

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Hu, Pei-Chu, and Chung-Chun Yang. "Basic facts in p-adic analysis." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_1.

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Hu, Pei-Chu, and Chung-Chun Yang. "Nevanlinna theory." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_2.

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Hu, Pei-Chu, and Chung-Chun Yang. "Uniqueness of meromorphic functions." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_3.

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Hu, Pei-Chu, and Chung-Chun Yang. "Differential equations." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_4.

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Hu, Pei-Chu, and Chung-Chun Yang. "Dynamics." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_5.

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Hu, Pei-Chu, and Chung-Chun Yang. "Holomorphic curves." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_6.

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Hu, Pei-Chu, and Chung-Chun Yang. "Diophantine approximations." In Meromorphic Functions over Non-Archimedean Fields. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9415-8_7.

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Conference papers on the topic "Archimedean fields"

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Srinivasan, V., and K. Suja. "Generalized weighted statistical convergence in non-archimedean fields." In THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112358.

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Dremov, V. "On the Chaotic Properties of Quadratic Maps Over Non-Archimedean Fields." In p-ADIC MATHEMATICAL PHYSICS: 2nd International Conference. AIP, 2006. http://dx.doi.org/10.1063/1.2193109.

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Sangeetha, S., and V. Srinivasan. "J-cauchy and J-convergent sequences in 2-normed spaces over non-archimedean fields." In THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112367.

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Jemima, D. Eunice, and Srinivasan Vaithinathasamy. "Statistically summable double sequences by weighted means for which Tauberian conditions, in non-archimedean fields." In THE 11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5112187.

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Suja, K., and S. Sangeetha. "Ideal statistical convergence and ideal statistical Cauchy sequences in two normed spaces over non archimedean fields." In 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2020. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0025230.

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Lisboa, A. C., D. A. G. Vieira, and R. R. Saldanha. "Optimal impedance matching design for broadband Archimedean spiral antennas." In 2010 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2010). IEEE, 2010. http://dx.doi.org/10.1109/cefc.2010.5481412.

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Kim, Kyung Chun, Yoon Kee Kim, Ho Seong Ji, Jook Ho Beak, and Rinus Mieremet. "Aerodynamic Characteristics of Horizontal Axis Wind Turbine With Archimedes Spiral Blade." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62734.

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To investigate the aerodynamic characteristics of an Archimedes spiral wind turbine for urban-usage, both experimental and numerical studies were carried out. The Archimedes spiral blade was designed to produce wind power using drag and lift forces on the blade together. Instantaneous velocity fields were measured by two-dimensional PIV method in the near field of the blade. Mean velocity profiles were compared to those predicted by the steady state and unsteady state CFD simulation. It was found that the interaction between the wake flow at the rotor downstream and the induced velocity due to
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Waltuch, Benjamin, Elizabeth Astle, Eric Mirante, Brent Cornwall, James McCusker, and Gloria Ma. "An Approach to Tagging Objects of Interest in Oceanic Environments Through the Use of an AUV." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71806.

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In the field of underwater robotics, Autonomous Underwater Vehicles (AUV) have made many advancements in operating depth, mission endurance, and acoustic range making them the ideal vehicle for surveying and searching for any Object of Interest (OOI) over large areas of water. The downside to this technology is that the operator must wait for the vehicle’s mission to end to determine whether an OOI has been identified. Additionally, if an OOI is identified this object will need to be found again. The solution to this lengthy process is to equip the AUV with a suite of Underwater Locator Beacon
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Lhuillier, Daniel. "Unsteady Energy and Entropy Transfer in Suspensions: A Few Suggestions for an Improved Modelling." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31388.

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The thermo-mechanical description of two-phase mixtures, as it is presented in Ishii’s text-book for example, is quite general but not particularly suited for mixtures in which one phase is dispersed into the second one : in fact, the introduction of two stress tensors and two heat fluxes (related to the velocity gradients and temperature gradients of the respective phases) is in conflict with the hydrodynamic description of suspensions in which there is a single stress tensor and a single heat flux, related to the gradients of the volume-weighted average velocity and of the volume-weighted av
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Demetriou, Dustin W., and H. Ezzat Khalifa. "Evaluation of a Data Center Recirculation Non-Uniformity Metric Using Computational Fluid Dynamics." In ASME 2011 Pacific Rim Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/ipack2011-52005.

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The work presented in this paper is an extension of the companion work by the authors on a simplified thermodynamic model for data center optimization, in which a recirculation non-uniformity metric, θ, was introduced and used in a parametric analysis to highlight the deleterious effect of recirculation non-uniformity at the inlet of racks on the data center cooling infrastructure power consumption. In this work, several studies are done using a commercial computational fluid dynamics (CFD) package to verify many of the assumptions necessary in the development of the simplified model and to un
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