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Showing 1 to 20 of 44 for “"Kac"”.
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Thermostated Kac models
… a model of N particles interacting through a Kac-style collision process, with m particles among them interacting, in addition, with a thermostat. When m = N, we show exponential approach to the equilibrium canonical distribution in terms of the L2 norm, in relative entropy, and in the …
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Topology of Kac-Moody groups
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Dual Filtered Graphs for Kac-Moody algebras
… central element $\Kcen$ for an arbitrary Kac-Moody algebra $g$. In our construction, both graphs $(\Gamma_s(\Lambda), \Gamma_w(\Kcen))$ have the vertex set as the Weyl group of $g$, with the grading given by the length function. The edges of the graph $\Gamma_s(\La)$ are labeled versions …
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Feynman-Kac Numerical Techniques for Stochastic Optimal Control
… equations (FBSDEs) appearing in the Feynman-Kac representation of the value function in stochastic optimal control (SOC) problems. First, we propose a novel characterization of FBSDE estimators as either on-policy or off-policy, highlighting the intuition for these techniques that the …
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On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls
… First, we consider the so-called Feynman-Kac formula(s) for switching diffusions. These formulas provide stochastic representations for solutions of certain weakly coupled elliptical systems of partial differential equations. The formulas are verified for the boundary value problem, the …
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Kazhdan-Lusztig-Basen, unzerlegbare Bimoduln und die Topologie der Fahnenmannigfaltigkeit einer Kac-Moody-Gruppe
… <br>Dualraums der Cartanschen Unteralgebra einer Kac-Moody-Algebra, spezieller <br>diejenigen, die man als direkte Summanden iterierter Tensorprodukte von S <br>über den Invarianten (in S) von einfachen Spiegelungen erhält. <br> <br>Es wird gezeigt, daß sich die Heckealgebra der Weylgruppe von g …
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A Thorough and Accessible Proof of the Erdo˝s-Kac Theorem Following Granville and Soundararajan
<p>The Erd\H{o}-Kac Theorem states that, as $n$ tends to infinity, the distribution of $\omega(n)$, the number of distinct prime divisors of $n$, becomes normally distributed with mean and variance $\log\log n$. Granville and Soundararajan gave a proof of the Erd\H{o}s-Kac Theorem that avoided many …
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Modules over affine lie algebras at critical level and quantum groups by Qian Lin.
… to a reductive Lie algebra g: the De Concini- Kac quantum algebra and the Kac-Moody Lie algebra. Recent results show that the principle block of De Concini -Kac quantum algebra at an odd root of unity with (some) fixed central character is equivalent to the core of a certain t-structure on the …
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On the Estimates of the Density of Feynman-Kac Semigroups of Alpha-Stable-Like Processes and the Purely Discontinuous Girsanov Transform of Alpha-Stable-Like Processes
… two-sided estimates of the density of Feynman-Kac semigroups of alpha-stable-like processes and two-sided estimates of the density of purely discontinuous Girsanov transforms of alpha-stable-like processes. Without assuming symmetry of the processes, under certain conditions, we show that the …
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The Beilinson-Bernstein localization theorem for the affine Grassmannian
… category of admissible modules for the affine Kac-Moody algebra at the critical level, and the study of its center.
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Vertex algebras generated by primary fields of low conformal weight
… of vertex algebras, the free parameter being the Kac-Moody level k), the complex connected algebraic group G corresponding to the Lie algebra 0 acts transitively on the quadric ... This generalizes a similar result of Kac in the case of conformal algebras. Using this observation, we will classify …
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The Lie algebra of the N=2-string
… gezeigt, daß diese keine Verallgemeinerte Kac-Moody Algebra darstellt.
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Local Structure of Operator Algebras
… topology to study the local structure of Kac algebras. Also we study inverse limits of Kac algebras.
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Lifting bundle gerbes and central extensions of gauge groups
… has a central extension by the circle called the Kac-Moody group. We use the techniques introduced in [29] to generalise this construction to higher mapping groups such as Map(∑,G) and construct the central extension ...
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Metabolic Regulation of Gene Expression through Differential Histone Acylation: The Regulation and Function of Histone Crotonylation
<p>Histone lysine acetylation (Kac) plays a critical role in gene regulation by affecting the accessibility of the DNA wrapped around histones and by recruiting effector complexes. Three major classes of proteins are associated with Kac, namely "writers," enzymes that covalently modify specific …
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Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren
… Kategorie O über einer symmetrisierbaren Kac-Moody Algebra, untersuchen deren projektive Objekte und beweisen eine Version der klassischen BGG-Reziprozität. Lokalisierungstechniken erlauben die Berechnung der Zentren aller Blöcke außerhalb der kritischen Hyperebene. Darüberhinaus …
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Some application of Malliavin calculus to SPDE and convergence of densities
… in this dissertation. In Chapter 3, a Feynman-Kac formula is established for a stochastic heat equation driven by Gaussian noise which is, with respect to time, a fractional Brownian motion with Hurst parameter H<1/2. To establish such a formula, we introduce and study a nonlinear stochastic …
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Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators
… estimates for the eigenfunctions of the Feynman- Kac semigroups of these two types of processes and established their intrinsic contractivities. Our methods are mainly probabilistic and depend essentially on the sharp estimates of heat kernels.
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Pulse 63: Live Streaming and Architectural Projection Mapping
… of these terms through the work of Eduardo Kac, Pipilotti Rist, Doug Aitken, and others. The intent is to create a visual installation at Moogfest that works as a monolithic visual signifier by applying artistically mediated telepresence and "superarchitecture."
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Investigation of the production and isolation of bioactive compounds from cyanobacteria.
… 901 and 917 were characterised from N. spumigena KAC 66. In the present study, N. spumigena KAC 66 was fractionated by reversed phase flash chromatography and their toxicity was determined by their lethality to Daphnia pulex and D. magna along with inhibition of protein phosphatase 1 assay (PP1). …
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