Relevant bibliographies by topics / Frobenius's theorem

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Academic literature on the topic 'Frobenius's theorem'

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Published: 4 June 2021
Last updated: 16 February 2022

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Journal articles on the topic "Frobenius's theorem"

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Yarzhemsky, V. G. "Induced Representation Method in the Theory of Electron Structure and Superconductivity." Advances in Mathematical Physics 2019 (April 9, 2019): 1–10. http://dx.doi.org/10.1155/2019/4873914.

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It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of electron structure and constructing Cooper pair wavefunctions on the basis of one-electron solid-state wavefunctions possible. It is proved that the nodal structure of topological superconductors in the case of multidimensional irreducible representations is defined by additional quantum numbers. The technique is extended on projective representations in the case of nonsymmorphic space groups and examples of applications for topological superconductors UPt3 and Sr2RuO4 are considered.
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Gadea, Pedro M., and J. Munoz Masqué. "Fibred Frobenius theorem." Proceedings of the Indian Academy of Sciences - Section A 105, no. 1 (February 1995): 31–32. http://dx.doi.org/10.1007/bf02840587.

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Kaplan, Gil. "A note on Frobenius–Wielandt groups." Journal of Group Theory 22, no. 4 (July 1, 2019): 637–45. http://dx.doi.org/10.1515/jgth-2018-0140.

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AbstractLet G be a finite group. G is called a Frobenius–Wielandt group if there exists {H<G} such that {U=\langle H\cap H^{g}\mid g\in G-H\rangle} is a proper subgroup of H. The Wielandt theorem [H. Wielandt, Über die Existenz von Normalteilern in endlichen Gruppen, Math. Nachr. 18 1958, 274–280; Mathematische Werke Vol. 1, 769–775] on the structure of G generalizes the celebrated Frobenius theorem. From a permutation group point of view, considering the action of G on the coset space {G/H}, it states in particular that the subgroup {D=D_{G}(H)} generated by all derangements (fixed-point-free elements) is a proper subgroup of G. Let {W=U^{G}}, the normal closure of U in G. Then W is the subgroup generated by all elements fixing at least two points. We present the proof of the Wielandt theorem in a new way (Theorem 1.6, Corollary 1.7, Theorem 1.8) such that the unique component whose proof is not elementary or by the Frobenius theorem is the equality {W\cap H=U}. This presentation shows what can be achieved by elementary arguments and how Frobenius groups are involved in one case of Frobenius–Wielandt groups. To be more precise, Theorem 1.6 shows that there are two possible cases for a Frobenius–Wielandt group G with {H<G}: (a) {W=D} and {G=HW}, or (b) {W<D} and {HW<G}. In the latter case, {G/W} is a Frobenius group with a Frobenius complement {HW/W} and Frobenius kernel {D/W}.
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Hauser, J., and Zhigang Xu. "An Approximate Frobenius Theorem †." IFAC Proceedings Volumes 26, no. 2 (July 1993): 157–60. http://dx.doi.org/10.1016/s1474-6670(17)49098-7.

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Faran, James J. "A synthetic Frobenius theorem." Journal of Pure and Applied Algebra 128, no. 1 (June 1998): 11–32. http://dx.doi.org/10.1016/s0022-4049(97)00034-0.

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DANERS, DANIEL, and JOCHEN GLÜCK. "THE ROLE OF DOMINATION AND SMOOTHING CONDITIONS IN THE THEORY OF EVENTUALLY POSITIVE SEMIGROUPS." Bulletin of the Australian Mathematical Society 96, no. 2 (March 29, 2017): 286–98. http://dx.doi.org/10.1017/s0004972717000260.

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We carry out an in-depth study of some domination and smoothing properties of linear operators and of their role within the theory of eventually positive operator semigroups. On the one hand, we prove that, on many important function spaces, they imply compactness properties. On the other hand, we show that these conditions can be omitted in a number of Perron–Frobenius type spectral theorems. We furthermore prove a Kreĭn–Rutman type theorem on the existence of positive eigenvectors and eigenfunctionals under certain eventual positivity conditions.
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FAITH, CARL. "FACTOR RINGS OF PSEUDO-FROBENIUS RINGS." Journal of Algebra and Its Applications 05, no. 06 (December 2006): 847–54. http://dx.doi.org/10.1142/s0219498806001831.

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If R is right pseudo-Frobenius (= PF), and A is an ideal, when is R/A right PF? Our main result, Theorem 3.7, states that this happens iff the ideal A′ of the basic ring B of R corresponding to A has left annihilator F in B generated by a single element on both sides. Moreover, in this case B/A′ ≈ F in mod-B, (see Theorem 3.5), a property that does not extend to R, that is, in general R/A is not isomorphic to the left annihilator of A. (See Example 4.3(2) and Theorem 4.5.) Theorem 4.6 characterizes Frobenius rings among quasi-Frobenius (QF) rings. As an application of the main theorem, in Theorem 3.9 we prove that if A is generated as a right or left ideal by an idempotent e, then e is central (and R/A is then trivially right PF along with R). This generalizes the result of F. W. Anderson for quasi-Frobenius rings. (See Theorem 2.2 for a new proof.). In Proposition 1.6, we prove that a generalization of this result holds for finite products R of full matrix rings over local rings; namely, an ideal A is finitely generated as a right or left ideal iff A is generated by a central idempotent. We also note a theorem going back to Nakayama, Goursaud, and the author that every factor ring of R is right PF iff R is a uniserial ring. (See Theorem 5.1.).
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Gong, Xianghong. "A Frobenius–Nirenberg theorem with parameter." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 759 (February 1, 2020): 101–59. http://dx.doi.org/10.1515/crelle-2017-0051.

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AbstractThe Newlander–Nirenberg theorem says that a formally integrable complex structure is locally equivalent to the complex structure in the complex Euclidean space. We will show two results about the Newlander–Nirenberg theorem with parameter. The first extends the Newlander–Nirenberg theorem to a parametric version, and its proof yields a sharp regularity result as Webster’s proof for the Newlander–Nirenberg theorem. The second concerns a version of Nirenberg’s complex Frobenius theorem and its proof yields a result with a mild loss of regularity.
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Hill, C., and Santiago Simanca. "The super complex Frobenius theorem." Annales Polonici Mathematici 55, no. 1 (1991): 139–55. http://dx.doi.org/10.4064/ap-55-1-139-155.

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Sine, Robert. "A nonlinear Perron-Frobenius theorem." Proceedings of the American Mathematical Society 109, no. 2 (February 1, 1990): 331. http://dx.doi.org/10.1090/s0002-9939-1990-0948156-x.

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Dissertations / Theses on the topic "Frobenius's theorem"

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Rosa, Ester Cristina Fontes de Aquino 1979. "A função hipergeométrica e o pêndulo simples." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306997.

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Orientador: Edmundo Capelas de Oliveira
Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-17T14:35:07Z (GMT). No. of bitstreams: 1 Rosa_EsterCristinaFontesdeAquino_M.pdf: 847998 bytes, checksum: d177526572b19cc1fdd5eeccdf511380 (MD5) Previous issue date: 2011
Resumo: Este trabalho tem por objetivo modelar e resolver, matematicamente, um problema físico conhecido como pêndulo simples. Discutimos, como caso particular, as chamadas oscilações de pequena amplitude, isto é, uma aproximação que nos leva a mostrar que o período de oscilação é proporcional à raiz quadrada do quociente entre o comprimento do pêndulo e a aceleração da gravidade. Como vários outros problemas oriundos da Física, o pêndulo simples é representado através de equações diferenciais parciais. Assim, na busca de sua solução, aplicamos a metodologia de separação de variáveis que nos leva a um conjunto de equações ordinárias passíveis de simples integração. Escolhendo um sistema de coordenadas adequado, é conveniente usar o método de Hamilton-Jacobi, discutindo, antes, o problema do oscilador harmónico, apresentando, em seguida, o problema do pêndulo simples e impondo condições a fim de mostrar que as equações diferenciais associadas a esses dois sistemas são iguais, ou seja, suas soluções são equivalentes. Para tanto, estudamos o método de separação de variáveis associado às equações diferenciais parciais, lineares e de segunda ordem, com coeficientes constantes e três variáveis independentes, bem como a respectiva classificação quanto ao tipo. Posteriormente, estudamos as equações hipergeométricas, cujas soluções, as funções hipergeométricas. podem ser encontradas pelo método de Frobenius. Apresentamos o método de Hamilton-Jacobi, já mencionado, para o enfren-tamento do problema apresentado. Fizemos no capítulo final um apêndice sobre a função gama por sua presente importância no trato de funções hipergeométricas, em especial a integral elíptica completa de primeiro tipo que compõe a solução exata do período do pêndulo simples
Abstract: This work aims to present and solve, mathematically, the physics problem that is called simple pendulum. We reasoned, as an specific case, the so called low amplitude oscillation, that is, a convenient approximation that make us show that the period of oscillation is proportional to the quotient square root between the pendulum length and the gravity acceleration. Like several other problems arising from the physics, we are going to broach it through partial differential equations. Thus, in the search of its solution, we made use of the variable separation methodology that leads us to a body of ordinary equations susceptible of simple integration. Choosing an appropriate coordinate system, it is convenient to use the method Hamilton-Jacobi, arguing, first, the problem of the harmonic oscillator, with, then the problem of sf simple pendulum and imposing conditions to show that the differential equations associated with these two systems are equal, that is, their solutions are equivalent. With the purpose of reaching the objectives, we studied the variable separation method associated with partial differential equations, linear and of second order, with constant coefficient and three independent variables, as well as the respective classification about the type. Afterwards, we studied the hypergeometrical equations whose solutions, the hypergeometrical functions, are found by the Frobenius method. Introducing the Hamilton-Jacobi method, already mentioned, for addressing the problem presented. We made an appendix in the final chapter on the gamma function by its present importance in dealing with hypergeometric functions, in particular the elliptic integral of first kind consists of the exact period of sf simple pendulum
Mestrado
Fisica-Matematica
Mestre em Matemática
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Gaertner, Nathaniel Allen. "Special Cases of Density Theorems in Algebraic Number Theory." Thesis, Virginia Tech, 2006. http://hdl.handle.net/10919/33153.

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This paper discusses the concepts in algebraic and analytic number theory used in the proofs of Dirichlet's and Cheboterev's density theorems. It presents special cases of results due to the latter theorem for which greatly simplified proofs exist.
Master of Science
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Lagro, Matthew Patrick. "A Perron-Frobenius Type of Theorem for Quantum Operations." Diss., Temple University Libraries, 2015. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/339694.

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Mathematics
Ph.D.
Quantum random walks are a generalization of classical Markovian random walks to a quantum mechanical or quantum computing setting. Quantum walks have promising applications but are complicated by quantum decoherence. We prove that the long-time limiting behavior of the class of quantum operations which are the convex combination of norm one operators is governed by the eigenvectors with norm one eigenvalues which are shared by the operators. This class includes all operations formed by a coherent operation with positive probability of orthogonal measurement at each step. We also prove that any operation that has range contained in a low enough dimension subspace of the space of density operators has limiting behavior isomorphic to an associated Markov chain. A particular class of such operations are coherent operations followed by an orthogonal measurement. Applications of the convergence theorems to quantum walks are given.
Temple University--Theses
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Slegers, Wouter. "Spectral Theory for Perron-Frobenius operators." Thesis, Uppsala universitet, Tillämpad matematik och statistik, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-396647.

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Cuszynski-Kruk, Mikolaj. "On Frobenius Theorem and Classication of 2-Dimensional Real Division Algebras." Thesis, Uppsala universitet, Algebra och geometri, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-414086.

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Stigner, Carl. "Hopf and Frobenius algebras in conformal field theory." Doctoral thesis, Karlstads universitet, Avdelningen för fysik och elektroteknik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-14456.

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There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. In addition, many of the interesting theories satisfy a finiteness condition, that together with the symmetries allows for a fully non-perturbative treatment, and even for a complete solution in a mathematically rigorous manner. One of the crucial tools which make such a treatment possible is provided by category theory. This thesis contains results relevant for two different classes of conformal field theory. We partly treat rational conformal field theory, but also derive results that aim at a better understanding of logarithmic conformal field theory. For rational conformal field theory, we generalize the proof that the construction of correlators, via three-dimensional topological field theory, satisfies the consistency conditions to oriented world sheets with defect lines. We also derive a classifying algebra for defects. This is a semisimple commutative associative algebra over the complex numbers whose one-dimensional representations are in bijection with the topological defect lines of the theory. Then we relax the semisimplicity condition of rational conformal field theory and consider a larger class of categories, containing non-semisimple ones, that is relevant for logarithmic conformal field theory. We obtain, for any finite-dimensional factorizable ribbon Hopf algebra H, a family of symmetric commutative Frobenius algebras in the category of bimodules over H. For any such Frobenius algebra, which can be constructed as a coend, we associate to any Riemann surface a morphism in the bimodule category. We prove that this morphism is invariant under a projective action of the mapping class group ofthe Riemann surface. This suggests to regard these morphisms as candidates for correlators of bulk fields of a full conformal field theories whose chiral data are described by the category of left-modules over H.
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Pressland, Matthew. "Frobenius categorification of cluster algebras." Thesis, University of Bath, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.678852.

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Cluster categories, introduced by Buan–Marsh–Reineke–Reiten–Todorov and later generalised by Amiot, are certain 2-Calabi–Yau triangulated categories that model the combinatorics of cluster algebras without frozen variables. When frozen variables do occur, it is natural to try to model the cluster combinatorics via a Frobenius category, with the indecomposable projective-injective objects corresponding to these special variables. Amiot–Iyama–Reiten show how Frobenius categories admitting (d-1)-cluster-tilting objects arise naturally from the data of a Noetherian bimodule d-Calabi–Yau algebra A and an idempotent e of A such that A/< e > is finite dimensional. In this work, we observe that this phenomenon still occurs under the weaker assumption that A and A^op are internally d-Calabi–Yau with respect to e; this new definition allows the d-Calabi–Yau property to fail in a way controlled by e. Under either set of assumptions, the algebra B=eAe is Iwanaga–Gorenstein, and eA is a cluster-tilting object in the Frobenius category GP(B) of Gorenstein projective B-modules. Geiß–Leclerc–Schröer define a class of cluster algebras that are, by construction, modelled by certain Frobenius subcategories Sub(Q_J) of module categories over preprojective algebras. Buan–Iyama–Reiten–Smith prove that the endomorphism algebra of a cluster-tilting object in one of these categories is a frozen Jacobian algebra. Following Keller–Reiten, we observe that such algebras are internally 3-Calabi–Yau with respect to the idempotent corresponding to the frozen vertices, thus obtaining a large class of examples of such algebras. Geiß–Leclerc–Schröer also attach, via an algebraic homogenization procedure, a second cluster algebra to each category Sub(Q_J), by adding more frozen variables. We describe how to compute the quiver of a seed in this cluster algebra via approximation theory in the category Sub(Q_J); our alternative construction has the advantage that arrows between the frozen vertices appear naturally. We write down a potential on this enlarged quiver, and conjecture that the resulting frozen Jacobian algebra A and its opposite are internally 3-Calabi–Yau. If true, the algebra may be realised as the endomorphism algebra of a cluster-tilting object in a Frobenius category GP(B) as above. We further conjecture that GP(B) is stably 2-Calabi–Yau, in which case it would provide a categorification of this second cluster algebra.
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McSween, Alexandra. "Affine Oriented Frobenius Brauer Categories and General Linear Lie Superalgebras." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42342.

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To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer categeory. We define natural actions of these categories on categories of supermodules for general linear Lie superalgebras gl_m|n(A) with entries in A. These actions generalize those on module categories for general linear Lie superalgebras and queer Lie superalgebras, which correspond to the cases where A is the ground field and the two-dimensional Clifford superalgebra, respectively. We include background on monoidal supercategories and Frobenius superalgebras and discuss some possible further directions.
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Drescher, Chelsea. "Invariants of Polynomials Modulo Frobenius Powers." Thesis, University of North Texas, 2020. https://digital.library.unt.edu/ark:/67531/metadc1703327/.

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Rational Catalan combinatorics connects various Catalan numbers to the representation theory of rational Cherednik algebras for Coxeter and complex reflection groups. Lewis, Reiner, and Stanton seek a theory of rational Catalan combinatorics for the general linear group over a finite field. The finite general linear group is a modular reflection group that behaves like a finite Coxeter group. They conjecture a Hilbert series for a space of invariants under the action of this group using (q,t)-binomial coefficients. They consider the finite general linear group acting on the quotient of a polynomial ring by iterated powers of the irrelevant ideal under the Frobenius map. Often conjectures about reflection groups are solved by considering the local case of a group fixing one hyperplane and then extending via the theory of hyperplane arrangements to the full group. The Lewis, Reiner and Stanton conjecture had not previously been formulated for groups fixing a hyperplane. We formulate and prove their conjecture in this local case.
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Hochart, Antoine. "Nonlinear Perron-Frobenius theory and mean-payoff zero-sum stochastic games." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX079/document.

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Les jeux stochastiques à somme nulle possèdent une structure récursive qui s'exprime dans leur opérateur de programmation dynamique, appelé opérateur de Shapley. Ce dernier permet d'étudier le comportement asymptotique de la moyenne des paiements par unité de temps. En particulier, le paiement moyen existe et ne dépend pas de l'état initial si l'équation ergodique - une équation non-linéaire aux valeurs propres faisant intervenir l'opérateur de Shapley - admet une solution. Comprendre sous quelles conditions cette équation admet une solution est un problème central de la théorie de Perron-Frobenius non-linéaire, et constitue le principal thème d'étude de cette thèse. Diverses classes connues d'opérateur de Shapley peuvent être caractérisées par des propriétés basées entièrement sur la relation d'ordre ou la structure métrique de l'espace. Nous étendons tout d'abord cette caractérisation aux opérateurs de Shapley "sans paiements", qui proviennent de jeux sans paiements instantanés. Pour cela, nous établissons une expression sous forme minimax des fonctions homogènes de degré un et non-expansives par rapport à une norme faible de Minkowski. Nous nous intéressons ensuite au problème de savoir si l'équation ergodique a une solution pour toute perturbation additive des paiements, problème qui étend la notion d'ergodicité des chaînes de Markov. Quand les paiements sont bornés, cette propriété d'"ergodicité" est caractérisée par l'unicité, à une constante additive près, du point fixe d'un opérateur de Shapley sans paiement. Nous donnons une solution combinatoire s'exprimant au moyen d'hypergraphes à ce problème, ainsi qu'à des problèmes voisins d'existence de points fixes. Puis, nous en déduisons des résultats de complexité. En utilisant la théorie des opérateurs accrétifs, nous généralisons ensuite la condition d'hypergraphes à tous types d'opérateurs de Shapley, y compris ceux provenant de jeux dont les paiements ne sont pas bornés. Dans un troisième temps, nous considérons le problème de l'unicité, à une constante additive près, du vecteur propre. Nous montrons d'abord que l'unicité a lieu pour une perturbation générique des paiements. Puis, dans le cadre des jeux à information parfaite avec un nombre fini d'actions, nous précisons la nature géométrique de l'ensemble des perturbations où se produit l'unicité. Nous en déduisons un schéma de perturbations qui permet de résoudre les instances dégénérées pour l'itération sur les politiques
Zero-sum stochastic games have a recursive structure encompassed in their dynamic programming operator, so-called Shapley operator. The latter is a useful tool to study the asymptotic behavior of the average payoff per time unit. Particularly, the mean payoff exists and is independent of the initial state as soon as the ergodic equation - a nonlinear eigenvalue equation involving the Shapley operator - has a solution. The solvability of the latter equation in finite dimension is a central question in nonlinear Perron-Frobenius theory, and the main focus of the present thesis. Several known classes of Shapley operators can be characterized by properties based entirely on the order structure or the metric structure of the space. We first extend this characterization to "payment-free" Shapley operators, that is, operators arising from games without stage payments. This is derived from a general minimax formula for functions homogeneous of degree one and nonexpansive with respect to a given weak Minkowski norm. Next, we address the problem of the solvability of the ergodic equation for all additive perturbations of the payment function. This problem extends the notion of ergodicity for finite Markov chains. With bounded payment function, this "ergodicity" property is characterized by the uniqueness, up to the addition by a constant, of the fixed point of a payment-free Shapley operator. We give a combinatorial solution in terms of hypergraphs to this problem, as well as other related problems of fixed-point existence, and we infer complexity results. Then, we use the theory of accretive operators to generalize the hypergraph condition to all Shapley operators, including ones for which the payment function is not bounded. Finally, we consider the problem of uniqueness, up to the addition by a constant, of the nonlinear eigenvector. We first show that uniqueness holds for a generic additive perturbation of the payments. Then, in the framework of perfect information and finite action spaces, we provide an additional geometric description of the perturbations for which uniqueness occurs. As an application, we obtain a perturbation scheme allowing one to solve degenerate instances of stochastic games by policy iteration
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Books on the topic "Frobenius's theorem"

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Nussbaum, Roger D. Generalizations of the Perron-Frobenius theorem for nonlinear maps. Providence, R.I: American Mathematical Society, 1999.

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Peter, Sarnak, ed. Random matrices, Frobenius eigenvalues, and monodromy. Providence, R.I: American Mathematical Society, 1999.

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Society, London Mathematical, ed. Frobenius algebras and 2D topological quantum field theories. Cambridge: Cambridge University Press, 2003.

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1944-, Nussbaum Roger D., ed. Nonlinear Perron-Frobenius theory. Cambridge: Cambridge University Press, 2012.

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Josef, Leydold, and Stadler Peter F. 1965-, eds. Laplacian eigenvectors of graphs: Perron-Frobenius and Faber-Krahn type theorems. Berlin: Springer, 2007.

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I, Manin I͡U. Frobenius manifolds, quantum cohomology, and moduli spaces. Providence, RI: American Mathematical Society, 1999.

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Frobenius manifolds and moduli spaces for singularities. Cambridge: Cambridge University Press, 2002.

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Popov, A. M. Gruppy s sistemami frobeniusovykh podgrupp: Monografii︠a︡. Krasnoi︠a︡rsk: Krasnoi︠a︡rskiĭ gos. tekhnicheskiĭ universitet, 2004.

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Shparlinski, Igor E., and David R. Kohel. Frobenius distributions: Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014 [and] Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathematiques, Marseille, France. Providence, Rhode Island: American Mathematical Society, 2016.

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Patrick, Solé, ed. Codes over rings: Proceedings of the CIMPA Summer School : Ankara, Turkey, 18-29 August, 2008. Singapore: World Scientific, 2009.

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Book chapters on the topic "Frobenius's theorem"

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Kantor, I. L., and A. S. Solodovnikov. "Frobenius’ Theorem." In Hypercomplex Numbers, 139–50. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_19.

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Nikaido, Hukukane. "Perron–Frobenius Theorem." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 1987. http://dx.doi.org/10.1057/978-1-349-95121-5_1879-1.

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Nikaido, Hukukane. "Perron–Frobenius Theorem." In The New Palgrave Dictionary of Economics, 1–4. London: Palgrave Macmillan UK, 2008. http://dx.doi.org/10.1057/978-1-349-95121-5_1879-2.

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Nikaido, Hukukane. "Perron–Frobenius Theorem." In The New Palgrave Dictionary of Economics, 10220–24. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-349-95189-5_1879.

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Sontz, Stephen Bruce. "The Frobenius Theorem." In Universitext, 105–10. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14765-9_8.

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Lee, Jeffrey. "Distributions and Frobenius’ theorem." In Graduate Studies in Mathematics, 467–99. Providence, Rhode Island: American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/107/11.

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Winkler, Gerhard. "The Perron-Frobenius Theorem." In Image Analysis, Random Fields and Dynamic Monte Carlo Methods, 299–300. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97522-6_19.

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Lang, Serge. "The Theorem of Frobenius." In Differential Manifolds, 135–49. New York, NY: Springer US, 1985. http://dx.doi.org/10.1007/978-1-4684-0265-0_6.

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Lang, Serge. "The Theorem of Frobenius." In Graduate Texts in Mathematics, 153–68. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4182-9_6.

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Bump, Daniel. "The Local Frobenius Theorem." In Lie Groups, 79–85. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3_14.

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Conference papers on the topic "Frobenius's theorem"

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Fel'shtyn, Alexander. "Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem." In Algebraic Topology - Old and New. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2009. http://dx.doi.org/10.4064/bc85-0-2.

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KHUKHRO, E. I. "APPLICATIONS OF CLIFFORD'S THEOREM TO FROBENIUS GROUPS OF AUTOMORPHISMS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350051_0015.

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Nadella, Sushma, and Andreas Klappenecker. "Stabilizer codes over Frobenius rings." In 2012 IEEE International Symposium on Information Theory - ISIT. IEEE, 2012. http://dx.doi.org/10.1109/isit.2012.6283558.

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Matcovschi, Mihaela-Hanako, and Octavian Pastravanu. "Perron-Frobenius theorem and invariant sets in linear systems dynamics." In 2007 Mediterranean Conference on Control & Automation. IEEE, 2007. http://dx.doi.org/10.1109/med.2007.4433731.

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Avin, Chen, Michael Borokhovich, Yoram Haddad, Erez Kantor, Zvi Lotker, Merav Parter, and David Peleg. "Generalized Perron–Frobenius Theorem for Multiple Choice Matrices, and Applications." In Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973105.35.

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He, Yiran, and Hoi-To Wai. "Identifying First-Order Lowpass Graph Signals Using Perron Frobenius Theorem." In ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2021. http://dx.doi.org/10.1109/icassp39728.2021.9415031.

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Tan, Chee Wei. "Wireless network optimization by Perron-Frobenius theory." In 2014 48th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2014. http://dx.doi.org/10.1109/ciss.2014.6814130.

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Divasón, Jose, Sebastiaan Joosten, Ondřej Kunčar, René Thiemann, and Akihisa Yamada. "Efficient certification of complexity proofs: formalizing the Perron–Frobenius theorem (invited talk paper)." In the 7th ACM SIGPLAN International Conference. New York, New York, USA: ACM Press, 2018. http://dx.doi.org/10.1145/3176245.3167103.

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Divasón, Jose, Sebastiaan Joosten, Ondřej Kunčar, René Thiemann, and Akihisa Yamada. "Efficient certification of complexity proofs: formalizing the Perron–Frobenius theorem (invited talk paper)." In CPP '18: Certified Proofs and Programs. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3167103.

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Greferath, Marcus, and Alexandr Nechaev. "Generalized Frobenius extensions of finite rings and trace functions." In 2010 IEEE Information Theory Workshop (ITW 2010). IEEE, 2010. http://dx.doi.org/10.1109/cig.2010.5592917.

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Reports on the topic "Frobenius's theorem"

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Arrow, Kenneth J. A 'Dynamic' Proof of the Frobenius-Perron Theorem for Metzler Matrices. Fort Belvoir, VA: Defense Technical Information Center, April 1989. http://dx.doi.org/10.21236/ada211839.

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Alzaid, A. A., C. R. Rao, and D. N. Shanbhag. An Application of the Perron-Frobenius Theorem to a Damage Model Problem. Fort Belvoir, VA: Defense Technical Information Center, April 1985. http://dx.doi.org/10.21236/ada160208.

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