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Showing 1 to 20 of 300 for “"Multiplicative"”.
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Multiplicative Global Springer Theory
… to replicate the theory of Higgs bundles for the multiplicative case. This involves the study of multiplicative affine Springer fibers, the mutliplicative Hitchin fibration and their applications to the Fundamental Lemma. This thesis is a continuation of this program and it develops the theory of …
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On Gaussian Multiplicative Chaos
Gaussian multiplicative chaos was first constructed in Kahane's seminal paper in 1985 in an attempt to provide a mathematical foundation for Kolmogorov-Obukhov-Mandelbrot theory of energy dissipation in developed turbulence. It has attracted a lot of attentions from the mathematics community in the …
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Two Random Multiplicative Processes: Multiplicative Cascades and Eigenvectors of the Random Schrodinger Operator
… to vertices of the rooted binary tree, uses the multiplicative structure of paths along the tree while the second, a collection of two by two random matrices, uses the usual multiplication of matrices.In the first chapter we construct a continuous time version of the multiplicative cascade. The …
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Multiplicative Structures on Moore spectra
In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure.
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Explicit multiplicative relations between Gauss sums
H.Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport-Hasse product formula and the norm relation for Gauss sums. While this is known to be false, very few counterexamples, now known as sign ambiguities, have been given. Here, we provide an …
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A Multiplicative Regularisation for Inverse Problems
… methods, focusing particularly on new, multiplicative methods, in which the cost functional is constructed as a product of two terms, rather than the more usual sum of a fidelity term and a regularisation term. By re-formulating the multiplicative regularisation model in the framework of …
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Fraction Instruction That Fosters Multiplicative Reasoning
Also of interest in the experimental instruction is the development of a model for partitive division of fractions, which model can be a valuable tool in understanding and determining unit rates. In partitive division, the task is to find the amount of the first quantity in one unit of the second …
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Multiplicative codes of Reed-Muller type
This is a comprehensive study of multiplicative codes of Reed-Muller type and their applications. Our codes apply to the elds of cryptography and coding theory, especially to multiparty computa- tion and secret sharing schemes. We also study the AB method to analyze the minimum distance of linear …
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Topics in Multiplicative and Probabilistic Number Theory
… integers cannot simultaneously be additively and multiplicatively structured. The practical verification of this heuristic is the source of a great number of difficult problems, including the well-known Hardy-Littlewood tuples conjecture. Conjectures of this type are also at least morally …
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Exploring the multiplicative structure of Z/nZ
… we focus exclusively on its structure as a multiplicative monoid, when endowed with the multiplication only. To do this, our approach relies on the study of monoid homomorphisms. In particular, we investigate the homomorphisms between two prime power multiplicative modular monoids, aiming to …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… T \colon A \to B is called weakly peripherally-multiplicative if the peripheral spectra of fg and TfTg have non-empty intersection for all f,g in A. (i.e. \sigma_{pi}( fg ) \cap \sigma_{pi}(TfTg ) \neq \emptyset for all f,g in A) The map is said to be almost peripherally-multiplicative if the …
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Peripherally-Multiplicative Spectral Preservers Between Function Algebras
… T \colon A \to B is called weakly peripherally-multiplicative if the peripheral spectra of fg and TfTg have non-empty intersection for all f,g in A. (i.e. \sigma_{pi}( fg ) \cap \sigma_{pi}(TfTg ) \neq \emptyset for all f,g in A) The map is said to be almost peripherally-multiplicative if the …
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Model Theory of Fields With Multiplicative Groups
… thesis is the model theory of fields expanded by multiplicative groups. We first consider a real closed field expanded by two subgroups of the positive part of that field. Then we investigate an algebraically closed field with a multiplicative subgroup satisfying a certain diophantine condition …
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On asymptotically good strongly multiplicative linear secret sharing
El objetivo principal de esta tesis es el estudio asintótico de familias de esquemas de compartición de secretos lineales e ideales con multiplicación fuerte. Además, como aplicación de algunas técnicas que introducimos para estudiar dicho problema, se estudia la complejidad asintótica de ciertos …
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A comprehensive study of multiplicative attribute graph model
… introduced social network model, named the Multiplicative Attribute Graph model (MAG), which takes into account the randomness of nodal attributes in the process of link formation (i.e., the probability of a link existing between two nodes depends on their attributes). Kim and Lesckovec, who …
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Thick points of random walk and multiplicative chaos
… area of Probability theory, called Gaussian multiplicative chaos. Firstly, in two dimensions, we answer a question of Dembo, Peres, Rosen and Zeitouni and compute the number of thick points of planar random walk, assuming that the increments are symmetric and have a finite moment of order …
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On Gaussian multiplicative chaos and conformal field theory
… to it. Especially, we are interested in Gaussian multiplicative chaos (GMC), Schramm-Loewner evolution (SLE) and Liouville CFT, which can be understood as theories of random surfaces. From the point of view of physics, the idea of a ``summing over surfaces" can be traced back to Polyakov's work on …
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Stability criteria for systems with colored multiplicative noise.
Massachusetts Institute of Technology. Dept. of Electrical Engineering. Thesis. 1974. Ph.D.
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Multiplicative Orientations of K -Theory and P-Adic Analysis
Recent work of Ando, Blumberg, Gepner, Hopkins and Rezk characterize Einfinity orientations of K-Theory. Their description involves producing measures on the p-adic units with certain moments. In his thesis, Ando produced a criterion for an orientation to be Hinfinity. His theorem is a condition on …
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