Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 1623 for “"inequalities"”.
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Noncommutative Sobolev type inequalities
In this thesis, we study Sobolev type inequalities in the noncommutative (quantum) settings. We establish the abstract Bakry-\'Emery criterion for the operator-valued $f$-Sobolev inequalities on the derivation triple. We recapture the celebrated Bakry-\'Emery theorem for operator-valued functions …
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Solutions of Gronwall-Type Inequalities
No abstract prepared.
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Saturating Quantum Relative Entropy Inequalities
This dissertation describes the progress made towards understanding several quantum entropies and their mathematical properties. Here, we shall focus on various quantum relative entropies, that measure distinguishability between two quantum states (or two entities). In particular, we will focus all …
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Self improving Orlicz-Poincare inequalities
… and Zhong prove that spaces admitting Poincar e inequalities also admit a priori stronger Poincar e inequalities. We use their technique, with slight adjustments, to obtain a similar result in the case of Orlicz-Poincar e inequalities. We give examples in the plane that show all hypotheses are …
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Morse inequalities, a probabilistic approach
… we give a probabilistic proof of the Morse inequalities in the nondegenerate and degenerate case. For the nondegenerate case the kernel associated with the Witten Laplacian has an expression via the Malliavin calculus. The first step is the analysis of this heat kernel at a point away the …
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Nonlinear Pseudoparabolic Equations and Variational Inequalities
… types of quasilinear and nonlinear variational inequalities. The pseudoparabolic equations are characterized by the presence of mixed third order derivatives. Here the existence theory for degenerate parabolic equations is extended to the pseudoprabolic case, and degenerate pseudoparabolic …
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Some Sharp Inequalities for Martingale Transforms
… of three chapters. In Chapter 1, two sharp inequalities are proved and their extensions to differentially subordinate martingales.
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Poincar�� inequalities in noncommutative Lp spaces
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2014-07-11T17:41:22Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Zeng_Qiang.pdf: 1079162 bytes, checksum: 9bc39920faa20922d493e9a86e6e6403 (MD5)
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Functional inequalities in quantum information theory
Functional inequalities constitute a very powerful toolkit in studying various problems arising in classical information theory, statistics and many-body systems. Extensions of these tools to the noncommutative setting have been introduced in the beginning of the 90's in order to study the …
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Harnack inequalities and applications for stochastic equations
In dieser Dissertation studieren wir hauptsächlich Wangs Harnack-Ungleichungen und ihre Anwendungen auf Übergangshalbgruppen, die zu stochastischen Gleichungen gehören. Wir betrachten endlich-dimensionale stochastische (gewöhnliche) Differentialgleichungen mit irregulärem Drift, …
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Cubature reduction using the theory of inequalities
… Two-dimensional rectangular integral inequalities are constructed via embedding two one dimensional Peano kernels. In one dimension, linear kernels with a parametric discontinuity furnish "three point" rules where sampling occurs at the boundary and an interior point. The error is …
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Additive Lebesgue-Type Inequalities for Greedy Approximation
<p>In the approximation theory we are commonly interested in finding a best possible approximant to a function (also thought of as a signal or an image in signal processing) from a collection of a given number of elements. In the recent years, there arose an interest in considering rich collections …
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Gender inequalities in toddler confrontation teachers' responses
1 PDF file (v, 69 leaves ; 28 cm.)
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On Diamond-Alpha Dynamic Equations and Inequalities
… In particular Opial type Diamond-alpha dynamic Inequalities are discussed in this context and recently developed results and their improved versions are given in this work.</p>
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Bell inequalities in cardinality-based similarity measurement
… is remarkable that one stumbles across the same inequalities that should be fulfilled when checking these transitivity properties. The inequalities are known as the Bell inequalities. All Bell-type inequalities regarding at most four random events of which not more than two are intersected at the …
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Discrepancy Inequalities in Graphs and Their Applications
… graph theory, then produces similar discrepancy inequalities based not on the spectral gap of a graph, but rather a different tool with motivations in Riemannian geometry.</p> <p>The first problem explored in this dissertation is motivated by parallel computing and other communication networks. …
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Essays on Inequalities in Labor and Health
… during the pandemic, exacerbating pre-existing inequalities. Mothers, particularly those with children under age 5, experienced 0.6 and 1 additional hours of reduction compared to fathers. Triple-differences (DDD) estimates confirm that gender inequalities were most significant among parents …
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