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Journal articles on the topic 'Limit models'

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Author: Grafiati
Published: 10 December 2022
Last updated: 29 January 2023

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1

Brunelli, J. C. "Dispersionless limit of integrable models." Brazilian Journal of Physics 30, no. 2 (June 2000): 455–68. http://dx.doi.org/10.1590/s0103-97332000000200030.

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2

Maslin, Mark, and Patrick Austin. "Climate models at their limit?" Nature 486, no. 7402 (June 2012): 183–84. http://dx.doi.org/10.1038/486183a.

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3

Dezani-Ciancaglini, Mariangiola, Silvia Ghilezan, and Silvia Likavec. "Behavioural inverse limit λ-models." Theoretical Computer Science 316, no. 1-3 (May 2004): 49–74. http://dx.doi.org/10.1016/j.tcs.2004.01.023.

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4

BONORA, L., and C. S. XIONG. "MATRIX MODELS WITHOUT SCALING LIMIT." International Journal of Modern Physics A 08, no. 17 (July 10, 1993): 2973–92. http://dx.doi.org/10.1142/s0217751x93001211.

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In the context of Hermitian one-matrix models we show that the emergence of the NLS hierarchy and of its reduction, the KdV hierarchy, is an exact result of the lattice characterizing the matrix model. Said otherwise, we are not obliged to take a continuum limit to find these hierarchies. We interpret this result as an indication of the topological nature of them. We discuss the topological field theories associated with both and discuss the connection with topological field theories coupled to topological gravity already studied in the literature.
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5

Williams, Steven R. "Models of Limit Held by College Calculus Students." Journal for Research in Mathematics Education 22, no. 3 (May 1991): 219–36. http://dx.doi.org/10.5951/jresematheduc.22.3.0219.

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This study documents 10 college students' understanding of the limit concept and the factors affecting changes in that understanding. Common informal models of limit were identified among the 10 students, who were then presented with alternative models of limit and with anomalous limit problems. The problems were designed to encourage students to make changes in their own models to reflect a more formal conception. Individual models of limit varied widely even among students who initially described limits in similar ways. The dynamic aspect of these models was extremely resistant to change. This resistance was influenced by students' belief in the a priori existence of graphs, their prior experiences with graphs of simple functions, the value they put on conceptually simple and practically useful models, and their tendency to view anomalous problems as minor exceptions to rules. These factors combined to inhibit students' motivation to adopt a formal view of limit.
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6

Puchuri, Liliana. "Limit Cycles in Predator-Prey Models." Selecciones Matemáticas 4, no. 1 (June 30, 2017): 70–81. http://dx.doi.org/10.17268/sel.mat.2017.01.08.

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7

Yamada, Keigo. "Limit theorems for jump shock models." Journal of Applied Probability 26, no. 4 (December 1989): 793–806. http://dx.doi.org/10.2307/3214384.

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We consider an additive shock process where shocks occur according to a Poisson point process and they are accumulated in an appropriate way to the damage. It is shown that suitably normalized shock processes converge weakly to a process which is represented as a sum of a stable process and a deterministic process.
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8

Surgailis, D. "The thermodynamic limit of polygonal models." Acta Applicandae Mathematicae 22, no. 1 (January 1991): 77–102. http://dx.doi.org/10.1007/bf00047652.

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9

Bean, Nigel G., Małgorzata M. O’Reilly, and Zbigniew Palmowski. "Yaglom limit for stochastic fluid models." Advances in Applied Probability 53, no. 3 (September 2021): 649–86. http://dx.doi.org/10.1017/apr.2020.71.

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AbstractIn this paper we analyse the limiting conditional distribution (Yaglom limit) for stochastic fluid models (SFMs), a key class of models in the theory of matrix-analytic methods. So far, only transient and stationary analyses of SFMs have been considered in the literature. The limiting conditional distribution gives useful insights into what happens when the process has been evolving for a long time, given that its busy period has not ended yet. We derive expressions for the Yaglom limit in terms of the singularity˜$s^*$ such that the key matrix of the SFM, ${\boldsymbol{\Psi}}(s)$, is finite (exists) for all $s\geq s^*$ and infinite for $s<s^*$. We show the uniqueness of the Yaglom limit and illustrate the application of the theory with simple examples.
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10

Wachter, Kenneth W., and Ronald D. Lee. "U.S. Births and Limit Cycle Models." Demography 26, no. 1 (February 1989): 99. http://dx.doi.org/10.2307/2061497.

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11

Chulaevsky, Victor. "Renormalization Group Limit of Anderson Models." Universal Journal of Applied Mathematics 4, no. 4 (December 2016): 67–83. http://dx.doi.org/10.13189/ujam.2016.040401.

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12

Han, Guangyue. "Limit Theorems in Hidden Markov Models." IEEE Transactions on Information Theory 59, no. 3 (March 2013): 1311–28. http://dx.doi.org/10.1109/tit.2012.2226701.

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13

Lo, Andrew W., A. Craig MacKinlay, and June Zhang. "Econometric models of limit-order executions." Journal of Financial Economics 65, no. 1 (July 2002): 31–71. http://dx.doi.org/10.1016/s0304-405x(02)00134-4.

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14

Kuroda, Koji, and Joshin Murai. "Limit theorems in financial market models." Physica A: Statistical Mechanics and its Applications 383, no. 1 (September 2007): 28–34. http://dx.doi.org/10.1016/j.physa.2007.04.084.

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15

Yamada, Keigo. "Limit theorems for jump shock models." Journal of Applied Probability 26, no. 04 (December 1989): 793–806. http://dx.doi.org/10.1017/s0021900200027662.

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We consider an additive shock process where shocks occur according to a Poisson point process and they are accumulated in an appropriate way to the damage. It is shown that suitably normalized shock processes converge weakly to a process which is represented as a sum of a stable process and a deterministic process.
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16

Plienpanich, T., P. Sattayatham, and T. H. Thao. "Fractional integrated GARCH diffusion limit models." Journal of the Korean Statistical Society 38, no. 3 (September 2009): 231–38. http://dx.doi.org/10.1016/j.jkss.2008.10.003.

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17

Rezakhanlou, Fraydoun. "Continuum limit for some growth models." Stochastic Processes and their Applications 101, no. 1 (September 2002): 1–41. http://dx.doi.org/10.1016/s0304-4149(02)00100-x.

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18

Smythe, R. T. "Central limit theorems for urn models." Stochastic Processes and their Applications 65, no. 1 (December 1996): 115–37. http://dx.doi.org/10.1016/s0304-4149(96)00094-4.

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19

Bonora, L., and C. S. Xiong. "Multi-matrix models without continuum limit." Nuclear Physics B 405, no. 1 (September 1993): 228–75. http://dx.doi.org/10.1016/0550-3213(93)90432-o.

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20

Omey, Edward, and Rein Vesilo. "Local limit theorems for shock models." Brazilian Journal of Probability and Statistics 30, no. 2 (May 2016): 221–47. http://dx.doi.org/10.1214/14-bjps274.

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21

An, Hongzhi, and Hongye Gao. "Two limit theorems on ARIMA models." Acta Mathematicae Applicatae Sinica 4, no. 2 (May 1988): 154–64. http://dx.doi.org/10.1007/bf02006064.

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22

Wrzosek, Dariusz M. "Limit cycles in predator-prey models." Mathematical Biosciences 98, no. 1 (February 1990): 1–12. http://dx.doi.org/10.1016/0025-5564(90)90009-n.

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23

Feichtinger, Gustav, Andreas Novak, and Franz Wirl. "Limit cycles in intertemporal adjustment models." Journal of Economic Dynamics and Control 18, no. 2 (March 1994): 353–80. http://dx.doi.org/10.1016/0165-1889(94)90013-2.

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24

Barbour, A. D., Peter Braunsteins, and Nathan Ross. "Local limit theorems for occupancy models." Random Structures & Algorithms 58, no. 1 (September 27, 2020): 3–33. http://dx.doi.org/10.1002/rsa.20967.

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25

LACHOWICZ, MIROSŁAW. "FROM MICROSCOPIC TO MACROSCOPIC DESCRIPTION FOR GENERALIZED KINETIC MODELS." Mathematical Models and Methods in Applied Sciences 12, no. 07 (July 2002): 985–1005. http://dx.doi.org/10.1142/s0218202502001994.

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In this paper a review of some results and research perspectives for the general class of bilinear systems of Boltzmann-like integro-differential equations (generalized kinetic models) describing the dynamics of individuals undergoing kinetic (stochastic) interactions is presented. Some macroscopic limits (the diffusive limit and the hydrodynamic limit) are discussed.
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26

Aref'eva, I. Y., and I. V. Volovich. "Knots and Matrix Models." Infinite Dimensional Analysis, Quantum Probability and Related Topics 01, no. 01 (January 1998): 167–73. http://dx.doi.org/10.1142/s0219025798000119.

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A generating function for knot diagrams is constructed. We consider a matrix model with d(N×N) matrices and show that in the limits N→∞ and d→0 the model describes the knot diagrams. The same limit in matrix string theory is also discussed. We speculate that a prototypical M(atrix) without matrix theory exists in void.
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27

Shelah, Saharon. "Dependent $T$ and existence of limit models." Tbilisi Mathematical Journal 7, no. 1 (2014): 99–128. http://dx.doi.org/10.2478/tmj-2014-0010.

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28

Mikhailov, A. V., B. F. Zyuzin, and A. I. Zhigulskaya. "Models for representing limit states in geomechanics." Journal of Physics: Conference Series 1753, no. 1 (February 1, 2021): 012034. http://dx.doi.org/10.1088/1742-6596/1753/1/012034.

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29

Nahla, Ben Salah, and Masmoudi Afif. "Poisson Limit Laws for Exponential Dispersion Models." Communications in Statistics - Theory and Methods 41, no. 3 (February 2012): 393–402. http://dx.doi.org/10.1080/03610926.2010.529533.

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30

Rezakhanlou, Fraydoun. "Continuum Limit for Some Growth Models II." Annals of Probability 29, no. 3 (July 2001): 1329–72. http://dx.doi.org/10.1214/aop/1015345605.

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31

Hairer, Martin, and Weijun Xu. "Large scale limit of interface fluctuation models." Annals of Probability 47, no. 6 (November 2019): 3478–550. http://dx.doi.org/10.1214/18-aop1317.

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32

Chinman, R. B., and J. Ding. "Prediction limit estimation for neural network models." IEEE Transactions on Neural Networks 9, no. 6 (1998): 1515–22. http://dx.doi.org/10.1109/72.728401.

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33

Dutko, Michael. "Central Limit Theorems for Infinite Urn Models." Annals of Probability 17, no. 3 (July 1989): 1255–63. http://dx.doi.org/10.1214/aop/1176991268.

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34

Ambjørn, J., R. Loll, Y. Watabiki, W. Westra, and S. Zohren. "A new continuum limit of matrix models." Physics Letters B 670, no. 3 (December 2008): 224–30. http://dx.doi.org/10.1016/j.physletb.2008.11.003.

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35

Suominen, K. A., B. M. Garraway, and S. Stenholm. "The adiabatic limit of level crossing models." Optics Communications 82, no. 3-4 (April 1991): 260–66. http://dx.doi.org/10.1016/0030-4018(91)90456-n.

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36

Choi, Seunghee, and Oesook Lee. "Functional central limit theorems for ARCH(∞) models." Communications for Statistical Applications and Methods 24, no. 5 (September 30, 2017): 443–55. http://dx.doi.org/10.5351/csam.2017.24.5.443.

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37

LEVY, TAMIR, and JOSEPH YAGIL. "An Empirical Comparison of Price-Limit Models*." International Review of Finance 6, no. 3-4 (January 7, 2008): 157–76. http://dx.doi.org/10.1111/j.1468-2443.2007.00063.x.

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38

Buckley, F. M., and P. K. Pollett. "Limit theorems for discrete-time metapopulation models." Probability Surveys 7 (2010): 53–83. http://dx.doi.org/10.1214/10-ps158.

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39

Griego, Richard J. "Stochastic space-time models and limit theorems." Mathematical Biosciences 85, no. 1 (July 1987): 109–11. http://dx.doi.org/10.1016/0025-5564(87)90103-9.

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40

Hofbauer, Josef, and Joseph W. H. So. "Multiple limit cycles for predator-prey models." Mathematical Biosciences 99, no. 1 (April 1990): 71–75. http://dx.doi.org/10.1016/0025-5564(90)90139-p.

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41

Bulinskaya, E. V. "Functional limit theorems for some inventory models." Engineering Costs and Production Economics 15 (May 1989): 323–28. http://dx.doi.org/10.1016/0167-188x(89)90143-2.

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42

Bathas, George, and Herbert Neuberger. "Chiral Yukawa models in the planar limit." Physics Letters B 293, no. 3-4 (October 1992): 417–22. http://dx.doi.org/10.1016/0370-2693(92)90906-k.

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43

Li, Xi Bing, Shi Gang Wang, Jian Hua Guo, and Dong Sheng Li. "A Mathematical Modeling Method on Micro Heat Pipe with a Trapezium-Grooved Wick Structure." Applied Mechanics and Materials 29-32 (August 2010): 1686–94. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.1686.

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With heat flux increasing and cooling space decreasing in the products in microelectronics and chemical engineering, micro heat pipe has become an ideal heat radiator for products with high heat flux. Through analyzing the factors influencing the structure, strength and heat transfer limits of circular micro heat pipe with trapezium-grooved wick structure, the heat transfer models are established in this paper, including the models of viscous limit, sonic limit, entrainment limit, capillary limit, condensing limit, boiling limit, continuous flow limit and frozen startup limit. The study lays a powerful theoretical foundation for the design and manufacture of circular micro heat pipe with a trapezium-grooved wick structure.
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44

Cho, Jin Seo, and Halbert White. "DIRECTIONALLY DIFFERENTIABLE ECONOMETRIC MODELS." Econometric Theory 34, no. 5 (August 22, 2017): 1101–31. http://dx.doi.org/10.1017/s0266466617000354.

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The current article examines the limit distribution of the quasi-maximum likelihood estimator obtained from a directionally differentiable quasi-likelihood function and represents its limit distribution as a functional of a Gaussian stochastic process indexed by direction. In this way, the standard analysis that assumes a differentiable quasi-likelihood function is treated as a special case of our analysis. We also examine and redefine the standard quasi-likelihood ratio, Wald, and Lagrange multiplier test statistics so that their null limit behaviors are regular under our model framework.
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45

Apter, Arthur W. "On measurable limits of compact cardinals." Journal of Symbolic Logic 64, no. 4 (December 1999): 1675–88. http://dx.doi.org/10.2307/2586805.

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AbstractWe extend earlier work (both individual and joint with Shelah) and prove three theorems about the class of measurable limits of compact cardinals, where a compact cardinal is one which is either strongly compact or supercompact. In particular, we construct two models in which every measurable limit of compact cardinals below the least supercompact limit of supercompact cardinals possesses non-trivial degrees of supercompactness. In one of these models, every measurable limit of compact cardinals is a limit of supercompact cardinals and also a limit of strongly compact cardinals having no non-trivial degree of supercompactness. We also show that it is consistent for the least supercompact cardinal κ to be a limit of strongly compact cardinals and be so that every measurable limit of compact cardinals below κ has a non-trivial degree of supercompactness. In this model, the only compact cardinals below κ with a non-trivial degree of supercompactness are the measurable limits of compact cardinals.
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46

LAFRANCE, RENÉ, and ROBERT C. MYERS. "FLOWS FOR RECTANGULAR MATRIX MODELS." Modern Physics Letters A 09, no. 02 (January 20, 1994): 101–13. http://dx.doi.org/10.1142/s0217732394000113.

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Several new results on the multicritical behavior of rectangular matrix models are presented. We calculate the free energy in the saddle point approximation, and show that at the triple-scaling point, the result is the same as that derived from the recursion formulas. In the triple-scaling limit, we obtain the string equation and a flow equation for arbitrary multicritical points. Parametric solutions are also examined for the limit of almost-square matrix models. This limit is shown to provide an explicit matrix model realization of the scaling equations proposed to describe open-closed string theory.
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47

Genon-Catalot, Valentine, Thierry Jeantheau, and Catherine Laredo. "Limit Theorems for Discretely Observed Stochastic Volatility Models." Bernoulli 4, no. 3 (September 1998): 283. http://dx.doi.org/10.2307/3318718.

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48

Shelah, Saharon. "When a first order T has limit models." Colloquium Mathematicum 126, no. 2 (2012): 187–204. http://dx.doi.org/10.4064/cm126-2-4.

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49

Seifert, Michael. "Lorentz-Violating Gravity Models and the Linearized Limit." Symmetry 10, no. 10 (October 12, 2018): 490. http://dx.doi.org/10.3390/sym10100490.

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Many models in which Lorentz symmetry is spontaneously broken in a curved spacetime do so via a “Lorentz-violating” (LV) vector or tensor field, which dynamically takes on a vacuum expectation value and provides additional local geometric structure beyond the metric. The kinetic terms of such a field will not necessarily be decoupled from the kinetic terms of the metric, and will generically lead to a set of coupled equations for the perturbations of the metric and the LV field. In some models, however, the imposition of certain additional conditions can decouple these equations, yielding an “effective equation” for the metric perturbations alone. The resulting effective equation may depend on the metric in a gauge-invariant way, or it may be gauge-dependent. The only two known models yielding gauge-invariant effective equations involve differential forms; I show in this work that the obvious generalizations of these models do not yield gauge-invariant effective equations. Meanwhile, I show that a gauge-dependent effective equation may be obtained from any “tensor Klein–Gordon” model under similar assumptions. Finally, I discuss the implications of this work in the search for Lorentz-violating gravitational effects.
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50

Williams, Steven R. "Models of Limit Held by College Calculus Students." Journal for Research in Mathematics Education 22, no. 3 (May 1991): 219. http://dx.doi.org/10.2307/749075.

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