Relevant bibliographies by topics / Novikov variables

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Academic literature on the topic 'Novikov variables'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Novikov variables"

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Pajitnov, Andrei. "Incidence coefficients in the Novikov Complex for Morse forms: rationality and exponential growth properties." Proceedings of the International Geometry Center 13, no. 4 (2021): 125–77. http://dx.doi.org/10.15673/tmgc.v13i4.1747.

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Let f : M → S 1 be a Morse map, v a transverse f -gradient. Theconstruction of the Novikov complex associates to these data a free chain complexC ∗ (f, v) over the ring Z[t]][t −1 ], generated by the critical points of f and computingthe completed homology module of the corresponding infinite cyclic covering of M .Novikov’s Exponential Growth Conjecture says that the boundary operators in thiscomplex are power series of non-zero convergence raduis.In [12] the author announced the proof of the Novikov conjecture for the case ofC 0 -generic gradients together with several generalizations. The pr
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Hüttemann, Thomas, and David Quinn. "Finite domination and Novikov rings: Laurent polynomial rings in two variables." Journal of Algebra and Its Applications 14, no. 04 (2015): 1550055. http://dx.doi.org/10.1142/s0219498815500553.

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Let C be a bounded cochain complex of finitely generated free modules over the Laurent polynomial ring L = R[x, x-1, y, y-1]. The complex C is called R-finitely dominated if it is homotopy equivalent over R to a bounded complex of finitely generated projective R-modules. Our main result characterizes R-finitely dominated complexes in terms of Novikov cohomology: C is R-finitely dominated if and only if eight complexes derived from C are acyclic; these complexes are C ⊗L R〚x, y〛[(xy)-1] and C ⊗L R[x, x-1]〚y〛[y-1], and their variants obtained by swapping x and y, and replacing either indetermina
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Hüttemann, Thomas, and David Quinn. "Finite domination and Novikov rings. Laurent polynomial rings in several variables." Journal of Pure and Applied Algebra 220, no. 7 (2016): 2648–82. http://dx.doi.org/10.1016/j.jpaa.2015.12.004.

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Wu, Pin-Xia, and Wei-Wei Ling. "Multi-complexiton solutions of the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation." Thermal Science 25, no. 3 Part B (2021): 2043–49. http://dx.doi.org/10.2298/tsci200301086w.

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In this paper, the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation is investigated to acquire the complexiton solutions by the Hirota direct method. It is essential to transform the equation into Hirota bi-linear form and to build N-compilexiton solutions by pairs of conjugate wave variables.
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Pavlov, Maxim V., Pierandrea Vergallo, and Raffaele Vitolo. "Classification of bi-Hamiltonian pairs extended by isometries." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2251 (2021): 20210185. http://dx.doi.org/10.1098/rspa.2021.0185.

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The aim of this article is to classify pairs of the first-order Hamiltonian operators of Dubrovin–Novikov type such that one of them has a non-local part defined by an isometry of its leading coefficient. An example of such a bi-Hamiltonian pair was recently found for the constant astigmatism equation. We obtain a classification in the case of two dependent variables, and a significant new example with three dependent variables that is an extension of a hydrodynamic-type system obtained from a particular solution of the Witten–Dijkgraaf–Verlinde–Verlinde equations.
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Mi, Yongsheng, Chunlai Mu, and Weian Tao. "On the Cauchy Problem for the Two-Component Novikov Equation." Advances in Mathematical Physics 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/810725.

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We are concerned with the Cauchy problem of two-component Novikov equation, which was proposed by Geng and Xue (2009). We establish the local well-posedness in a range of the Besov spaces by using Littlewood-Paley decomposition and transport equation theory which is motivated by that in Danchin's cerebrated paper (2001). Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time, which extend some results of Himonas (2003) to more general equations.
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Chen, H. H., and J. E. Lin. "On a direct construction of inverse scattering problems for integrable nonlinear evolution equations in the two-spatial dimension." International Journal of Mathematics and Mathematical Sciences 2004, no. 58 (2004): 3117–28. http://dx.doi.org/10.1155/s0161171204312408.

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We present a method to construct inverse scattering problems for integrable nonlinear evolution equations in the two-spatial dimension. The temporal component is the adjoint of the linearized equation and the spatial component is a partial differential equation with respect to the spatial variables. Although this idea has been known for the one-spatial dimension for some time, it is the first time that this method is presented for the case of the higher-spatial dimension. We present this method in detail for the Veselov-Novikov equation and the Kadomtsev-Petviashvili equation.
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ARFAEI, H., and N. MOHAMMEDI. "GAUSS DECOMPOSITION, WAKIMOTO REALIZATION AND GAUGED WZNW MODELS." Modern Physics Letters A 09, no. 11 (1994): 1009–23. http://dx.doi.org/10.1142/s0217732394000848.

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The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to the standard gauging of WZNW models, this gauging is carried out by minimally coupling the gauge fields. We find that this gauging, in the case of gauging and Abelian vector subgroup, differs from the standard one by terms proportional to the field strength of the gauge fields. We prove that gauging an Abelian vector subgroup does not have a nonlinear sigma model interpretation. This is because the target-space metric resulting from
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VLAD, MARCEL OVIDIU. "LINEAR VERSUS NONLINEAR AMPLIFICATION: A GENERALIZATION OF THE NOVIKOV-MONTROLL-SHLESINGER-WEST CASCADE." International Journal of Modern Physics B 06, no. 03n04 (1992): 417–35. http://dx.doi.org/10.1142/s0217979292000220.

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The framework of this paper is the theory of statistical fractals. A general approach for the scale-invariant stochastic amplification is derived. The model is based on the assumption that the amplification coefficients as well as the probability of an amplification event are random variables selected from a certain probability law. Both linear and nonlinear cases are considered. For linear processes a general solution is available. Like in the case of constant amplification factors the probability density of an amplified variable has a long tail. However, the analytical form of the tail is di
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Sheikh, Hannan Mandal, Ghosh Rathindranath, and Mukherjee Debashis. "Stochastically averaged subdynamics of two-level systems (TLS) coupled to a colored noise: a nonperturbative time-ordered cluster cumulant method." Journal of Indian Chemical Society Vol. 80, May 2003 (2003): 411–17. https://doi.org/10.5281/zenodo.5839237.

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Department of Physical Chemistry, Indian Association for the Cultivation of Science, Kolkata- 700 032, India <em>E-Mail :</em> pcdm@mahendra.iacs.res.in Present address: Department of Physical Science, R. K. M. Sikshanamandira, Belurmath, Howrah-711 202, India Present address : Department of Chemistry, R. K. M. Residential College, Narendrapur, Kolkata-700 103, India &nbsp;Also at : Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore-560 064, India <em>Manuscript received 4 October 2002</em> We present here a non-perturbative cumulant expansion method of studying stochastically
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Books on the topic "Novikov variables"

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Back, Kerry E. Continuous-Time Markets. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190241148.003.0013.

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A continuous‐time model of a securities market is introduced. The intertemporal budget constraint is defined. SDF processes and prices of risks are defined and characterized. Many properties of SDF process are analogous to those in a single‐period model, including the relation to the risk‐free rate, orthogonal projections, the Hansen‐Jagannathan bound, and factor pricing. To value future cash flows using an SDF process, we need to assume a local martingale is a martingale. Sufficient conditions including Novikov’s condition are discussed. Use of the martingale representation theorem in a compl
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Book chapters on the topic "Novikov variables"

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Radzevich, Stephen P. "CΣu-variable conformal (Novikov) and high-conformal gearing." In High-Conformal Gearing. Elsevier, 2020. http://dx.doi.org/10.1016/b978-0-12-821224-0.00010-7.

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