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 163 for “"nonlocal"”.
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Identifying Perfect Nonlocal Games
This thesis is about nonlocal games. These “games” are really interactive tests in which a verifier checks the correlations that can be produced by non-communicating players. We study the class of commuting operator correlations: correlations which can by produced by players who make commuting …
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Regularity theory for nonlocal equations
… results of Calderón-Zygmund-type for nonlinear nonlocal equations with possibly very irregular coefficients of VMO-type or even coefficients that are merely small in BMO. In particular, such coefficients might be discontinuous.<br /><br />While for corresponding local elliptic equations with VMO …
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Harnack inequality for nonlocal operators
… Harnack inequalities for a class of nonlocal operators and a class of weakly coupled nonlocal operators. In Chapter 1, we show the scale-invariant elliptic Harnack inequality holds for a class of nonlocal operators, which are second order elliptic differential operators perturbed by …
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Energy methods for nonsymmetric nonlocal operators
… thesis is to develop the regularity theory for nonlocal parabolic equations. We focus on problems driven by nonlocal operators associated with nonsymmetric bilinear forms. In contrast to the symmetric case, nonsymmetric nonlocal operators have not yet been studied systematically. Our main …
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A nonlinear and nonlocal model for animal aggregation
… going to look at a 2+1-dimensional nonlinear and nonlocal aggregation model proposed by Fetecau [8] with an adaptation of a saturation function to the nonlinear term. The nonlinear term represents the interaction between an individual and its neighbours. The saturation function can suppress or …
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Probing nonlocal correlations with ultralong-range Rydberg molecules
Ultracold atomic systems provide pristine environments for creating and manipulating strongly-interacting quantum systems. The flexibility and utility of ultracold atomic systems comes at the cost of isolation of the quantum system away from environmental perturbations inside of an ultra-high …
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Stability of Periodic Waves in Nonlocal Dispersive Equations
… of periodic waves in equations that possess nonlocal dispersion, i.e. equations in which the dispersion relation between the temporal frequency, omega, and wavenumber, k, of a plane wave is not polynomial in ik. In models that involve only classical derivative operators (known as local …
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Nonlocal correlations between freely propagating pairs of atoms
… technical requirements in the test of quantum nonlocality however, experimentalists have only recently demonstrated the nonlocal nature of quantum mechanics. Such well-controlled physical systems were few just a decade ago. This thesis contributes to the exponentially growing diversity of …
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Nonlocal correlations between freely propagating pairs of atoms
… technical requirements in the test of quantum nonlocality however, experimentalists have only recently demonstrated the nonlocal nature of quantum mechanics. Such well-controlled physical systems were few just a decade ago. This thesis contributes to the exponentially growing diversity of …
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Adaptive nonlocal and structured sparse signal modeling and applications
… sparse modeling techniques, especially with nonlocal and structured sparse signal modeling. In the first work of this dissertation, we propose a methodology for learning, dubbed Flipping and Rotation Invariant Sparsifying Transforms (FRIST), to better represent natural images that contain …
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Development of discontinuous Galerkin method for nonlocal linear elasticity
A number of constitutive theories have arisen describing materials which, by nature, exhibit a non-local response. The formulation of boundary value problems, in this case, leads to a system of equations involving higher-order derivatives which, in turn, results in requirements of continuity of the …
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A Computational Tsirelson's Theorem for All Compiled Nonlocal Games
Nonlocal games, defined as cooperative tasks between spatially separated players, have been a foundational tool in the study of quantum advantage and have been useful in classically verifying quantum computations. To address the challenge posed by the spatial separation assumption, Kalai et al. …
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Boundary data smoothness for solutions of nonlocal boundary value problems.
… boundary data smoothness for solutions of nonlocal boundary value problems over discrete and continuous domains. Essentially, we show that under certain conditions partial derivatives and differences exist, with respect to boundary conditions, for solutions of nonlocal boundary value …
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Neural Operators for Learning Complex Nonlocal Mappings in Fluid Dynamics
… of modeling and learning complex nonlinear and nonlocal mappings, which we categorize into three types: field-to-point, field-to-field, and ensemble-to-ensemble. To model and resolve these mappings, we build up on recent advancements in machine learning and develop novel neural operator-based …
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Nonlocal ballistic and hydrodynamic transport in two-dimensional electron systems
… regimes can exhibit a emph{negative} nonlocal resistance, and collective behaviour such as the formation of current vortices. In this work, we study nonlocal current-voltage characteristics in mesoscopic devices fabricated from a GaAs/AlGaAs heterostructure that hosts a two-dimensional …
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Interfaces between Competing Patterns in Reaction-diffusion Systems with Nonlocal Coupling
… model supplemented with an inhibitory nonlocal coupling term. This model exhibits a wave instability for slow inhibitor diffusion, while, for fast inhibitor diffusion, a Turing instability is found. For moderate values of the inhibitor diffusion these two instabilities occur …
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The Violation of Bell's Inequality in a Deterministic but Nonlocal Model
… of Bell's Inequality through the use of nonlocal measurement schemes as encapsulated in a quasi-deterministic toy model. This toy model, called the Q Box, is reminiscent of Mermin's Box in that it describes a system that appears to be deterministic yet produces the statistics of a quantum …
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NONLOCAL AND NONLINEAR EFFECTS ON SOLAR OSCILLATIONS (RADIATIVE DAMPING, LIMB DARKENING).
… and mechanical modes occur mainly due to the nonlocal nature of the radiation field. Previous theoretical calculations that used approximations for the radiative transfer that ignored the nonlocal nature of the radiation field predicted expected temperature perturbations (compared to the fluid …
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