Relevant bibliographies by topics / Singularities (Mathematics) Monotonic functions

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

Academic literature on the topic 'Singularities (Mathematics) Monotonic functions'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Singularities (Mathematics) Monotonic functions"

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Rovenchak, Andrij. "Deforming Gibbs Factor Using Tsallis q-Exponential with a Complex Parameter: An Ideal Bose Gas Case." Symmetry 12, no. 5 (2020): 732. http://dx.doi.org/10.3390/sym12050732.

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The paper presents a study of a non-standard model of fractional statistics. The exponential of the Gibbs factor in the expression for the occupation numbers of ideal bosons is substituted with the Tsallis q-exponential and the parameter q = 1 − α is considered complex. Such an approach predicts quantum critical phenomena, which might be associated with PT -symmetry breaking. Thermodynamic functions are calculated for this system. Analysis is made both numerically and analytically. Singularities in the temperature dependence of fugacity and specific heat are revealed. The critical temperature
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Flatto, Leopold, Jeffrey C. Lagarias, and Bjorn Poonen. "The zeta function of the beta transformation." Ergodic Theory and Dynamical Systems 14, no. 2 (1994): 237–66. http://dx.doi.org/10.1017/s0143385700007860.

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AbstractThe β-transformation ƒβ(x) = βx(mod 1), for β > 1, has a symbolic dynamics generalizing radix expansions to an integer base. Two important invariants of ƒβ are the (Artin-Mazur) zeta functionwhere Pk counts the number of fixed points of , and the lap-counting function where Lk counts the number of monotonic pieces of the kth iterate . For β-transformations these functions are related by ζβ(z) = (1 − z)Lβ(z). The function ζβ(z) is meromorphic in the unit disk, is holomorphic in {z: |z| < 1/β}, has a simple pole at z = 1/β, and has no other singularities with |z| = 1/β. Let M(β) de
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Miller, K. S., and S. G. Samko. "Completely monotonic functions." Integral Transforms and Special Functions 12, no. 4 (2001): 389–402. http://dx.doi.org/10.1080/10652460108819360.

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Guo, Senlin. "Some properties of functions related to completely monotonic functions." Filomat 31, no. 2 (2017): 247–54. http://dx.doi.org/10.2298/fil1702247g.

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Guo, Senlin, H. M. Srivastava, and Wing-Sum Cheung. "Some properties of functions related to certain classes of completely monotonic functions and logarithmically completely monotonic functions." Filomat 28, no. 4 (2014): 821–28. http://dx.doi.org/10.2298/fil1404821g.

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In this article, we establish several properties of the composition of functions which are related to certain classes of completely monotonic functions and logarithmically completely monotonic functions.
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Qi, Feng, Bai-Ni Guo, and Chao-Ping Chen. "Some completely monotonic functions involving the gamma and polygamma functions." Journal of the Australian Mathematical Society 80, no. 1 (2006): 81–88. http://dx.doi.org/10.1017/s1446788700011393.

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Jameson, G. J. O. "105.09 Monotonic ratios of functions." Mathematical Gazette 105, no. 562 (2021): 129–34. http://dx.doi.org/10.1017/mag.2021.22.

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Fern�ndez, Jos� L. "Singularities of inner functions." Mathematische Zeitschrift 193, no. 3 (1986): 393–96. http://dx.doi.org/10.1007/bf01229806.

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Bennett, Grahame, and Graham Jameson. "Monotonic Averages of Convex Functions." Journal of Mathematical Analysis and Applications 252, no. 1 (2000): 410–30. http://dx.doi.org/10.1006/jmaa.2000.7087.

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van Haeringen, H. "Completely Monotonic and Related Functions." Journal of Mathematical Analysis and Applications 204, no. 2 (1996): 389–408. http://dx.doi.org/10.1006/jmaa.1996.0443.

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Dissertations / Theses on the topic "Singularities (Mathematics) Monotonic functions"

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Enders, Joerg. "Generalizations of the reduced distance in the Ricci flow - monotonicity and applications." Diss., Connect to online resource - MSU authorized users, 2008.

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Kytmanov, Aleksandr, Simona Myslivets, and Nikolai Tarkhanov. "Removable singularities of CR functions on singular boundaries." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2583/.

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The problem of analytic representation of integrable CR functions on hypersurfaces with singularities is treated. The nature o singularities does not matter while the set of singularities has surface measure zero. For simple singularities like cuspidal points, edges, corners, etc., also the behaviour of representing analytic functions near singular points is studied.
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Kytmanov, Alexander, Simona Myslivets, and Nikolai Tarkhanov. "Analytic representation of CR Functions on hypersurfaces with singularities." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2563/.

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We prove a theorem on analytic representation of integrable CR functions on hypersurfaces with singular points. Moreover, the behaviour of representing analytic functions near singular points is investigated. We are aimed at explaining the new effect caused by the presence of a singularity rather than at treating the problem in full generality.
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Schnell, Christian. "The boundary behavior of cohomology classes and singularities of normal functions." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1218036000.

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Grudsky, Serguey, and Nikolai Tarkhanov. "Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/5774/.

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We consider the Dirichlet, Neumann and Zaremba problems for harmonic functions in a bounded plane domain with nonsmooth boundary. The boundary curve belongs to one of the following three classes: sectorial curves, logarithmic spirals and spirals of power type. To study the problem we apply a familiar method of Vekua-Muskhelishvili which consists in using a conformal mapping of the unit disk onto the domain to pull back the problem to a boundary problem for harmonic functions in the disk. This latter is reduced in turn to a Toeplitz operator equation on the unit circle with symbol bearing disco
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Martín, Villaverde Rafael. "Local monomialization of generalized real analytic functions." Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00695968.

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Les fonctions analytiques généralisées sont définies par des séries convergentes de monômes à coeficients réels et exposants réels positifs. Nous étudions l'extension de la géométrie analytique réelle associée à ces algèbres de fonctions. Nous introduisons pour cela la notion de variété analytique réelle généralisée. Il s'agit de variétés topologiques à bord munies de la structure du faisceau des fonctions analytiques réelles généralisées. Notre résultat principal est un théorème de monomialisation locale de ces fonctions.
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Wrochna, Michal. "Singularities of two-point functions in Quantum Field Theory." Doctoral thesis, 2013. http://hdl.handle.net/11858/00-1735-0000-0001-BB3C-E.

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Segers, Dirk. "Smallest poles of Igusa's and topological zeta functions and solutions of polynomial congruences." Phd thesis, 2004. http://tel.archives-ouvertes.fr/tel-00006134.

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Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i. The intensive study of Igusa's p-adic zeta function by using an embedded resolution of f led to the introduction of the topological zeta function. This geometric invariant of the zero locus of a polynomial f in several variables over the complex numbers was introduced in the early nineties by Denef and Loeser. It is a rational function which they obtained as a limit of Igusa's
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Bauer, Ulrich. "Persistence in discrete Morse theory." Doctoral thesis, 2011. http://hdl.handle.net/11858/00-1735-0000-0006-B3E6-C.

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Books on the topic "Singularities (Mathematics) Monotonic functions"

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service), SpringerLink (Online, ed. Singularities of Analytic Spaces. Springer-Verlag Berlin Heidelberg, 2011.

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Andrew, Eberhard, Hadjisavvas Nicolas 1953-, and Dinh The Luc 1952-, eds. Generalized convexity, generalized monotonicity, and applications: Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity. Springer, 2005.

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Flajolet, Philippe. Singularity analysis of generating functions. Dept. of Computer Science, Stanford University, 1988.

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4

Trokhimchuk, I͡U I͡U. Ustranimye osobennosti analiticheskikh funkt͡siĭ. Naukova dumka, 1992.

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Sharko, V. V. Functions on manifolds: Algebraic and topological aspects. American Mathematical Society, 1993.

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Massey, David B. Lê cycles and hypersurface singularities. Springer, 1995.

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Herzog, Bernd. Kodaira-Spencer maps in local algebra. Springer-Verlag, 1994.

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8

1963-, Song Renming, and Vondraček Zoran 1959-, eds. Bernstein functions: Theory and applications. De Gruyter, 2010.

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9

From Hahn-Banach to monotonicity. 2nd ed. Springer, 2008.

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10

Simons, S. From Hahn-Banach to monotonicity. 2nd ed. Springer, 2008.

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Book chapters on the topic "Singularities (Mathematics) Monotonic functions"

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Koumandos, Stamatis. "On Completely Monotonic and Related Functions." In Mathematics Without Boundaries. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1106-6_12.

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Ebeling, Wolfgang. "Isolated singularities of holomorphic functions." In Graduate Studies in Mathematics. American Mathematical Society, 2007. http://dx.doi.org/10.1090/gsm/083/03.

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Karp, Lavi, and Harold S. Shapiro. "Isolated Singularities of Harmonic Functions." In International Series of Numerical Mathematics. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8067-1_9.

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Asmar, Nakhlé H., and Loukas Grafakos. "Series of Analytic Functions and Singularities." In Undergraduate Texts in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94063-2_4.

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Rodríguez, Rubí E., Irwin Kra, and Jane P. Gilman. "Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions." In Graduate Texts in Mathematics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4419-7323-8_6.

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Gilman, Jane P., Irwin Kra, and Rubí E. Rodríguez. "Cauchy Theory: Local Behavior and Singularities of Holomorphic Functions." In Graduate Texts in Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-74715-6_6.

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Brudnyi, Yu A. "Adaptive Approximation of Functions with Singularities." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-5685-0_1.

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Moyano-Fernández, Julio José. "The Universal Zeta Function for Curve Singularities and its Relation with Global Zeta Functions." In Trends in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00027-1_12.

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Isaev, Alexander. "Isolated Singularities of Holomorphic Functions (Continued). Characterisation of an Isolated Singularity via the Laurent Series Expansion. Orders of Poles and Zeroes. Casorati-Weierstrass’ Theorem. Isolated Singularities of Holomorphic Functions at ∞ and their Characterisation via Laurent Series Expansions." In Springer Undergraduate Mathematics Series. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68170-2_14.

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Masood, Talha Bin, and Ingrid Hotz. "Continuous Histograms for Anisotropy of 2D Symmetric Piece-Wise Linear Tensor Fields." In Mathematics and Visualization. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56215-1_3.

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AbstractIn this chapter we present an accurate derivation of the distribution of scalar invariants with quadratic behavior represented as continuous histograms. The anisotropy field, computed from a two-dimensional piece-wise linear tensor field, is used as an example and is discussed in all details. Histograms visualizing an approximation of the distribution of scalar values play an important role in visualization. They are used as an interface for the design of transfer-functions for volume rendering or feature selection in interactive interfaces. While there are standard algorithms to compute continuous histograms for piece-wise linear scalar fields, they are not directly applicable to tensor invariants with non-linear, often even non-convex behavior in cells when applying linear tensor interpolation. Our derivation is based on a sub-division of the mesh in triangles that exhibit a monotonic behavior. We compare the results to a naïve approach based on linear interpolation on the original mesh or the subdivision.
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Conference papers on the topic "Singularities (Mathematics) Monotonic functions"

1

Law, William S., and Erik K. Antonsson. "Optimization Methods for Calculating Design Imprecision." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0062.

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Abstract The preliminary design process is characterized by imprecision: the vagueness of an incomplete design description. The Method of Imprecision uses the mathematics of fuzzy sets to explicitly represent and manipulate imprecise preliminary design information, enabling the designer to explore the space of alternative designs in the context of the designer and customer’s preferences among alternatives. This paper introduces new methods to perform Method of Imprecision calculations for general non-monotonic design evaluation functions that address the practical necessity to minimize the num
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