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 9 of 9 for “"Large-deviation theory"”.
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Large deviation theory for queueing systems
… the population of at least one queue reaches a large number before becoming empty again is one and the typical sample trajectory of this event is another. To answer these questions, we establish the large deviation principle (LDP) for an appropriate class of queueing processes. The model of our …
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Design of Sensor Networks for Detection Applications via Large -Deviation Theory
… regimes where the number of nodes becomes large are important tools in identifying design guidelines for future sensor systems. This work presents interesting applications of large-deviation theory and asymptotic analysis to the design of wireless sensor systems in the context of …
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Some aspects of empirical likelihood
… to the thesis. In chapter 2, Basics of Large Deviation Theory, we illustrate the basic idea of large deviation theory and briefly review the history of its development. As a preparation, some of the important theorems which we will employ in the following chapters are also …
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Information theoretic limits of metagenomic binning
… Markov processes, where M ≪ N. Utilizing the large-deviation principle for Markov processes, we establish the information-theoretic limit for perfect binning. Specifically, we show that the length of the contigs must scale with the inverse of the Chernoff Information between the two most …
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Stochastic and spatiotemporal effects in T-cell signaling
… from random walks, statistical inference, and large deviation theory to understand problems ranging in scale from individual molecular interactions to the population of T cells acting in concert.
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Stochastic effects on extinction and pattern formation in the three-species cyclic May–Leonard model
… a stable set of coexisting populations driven by large fluctuations. We see that the contribution of large fluctuations to extinction can be captured by a quasi-stationary approximation and the Wentzel–Kramers–Brillouin (WKB) eikonal ansatz. We see that near the Hopf bifurcation, extinctions are …
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Rare event simulation for probabilistic models of T-cell activation
… importance sampling approach. With the help of large deviation theory we are able to construct an efficient simulation algorithm, which uses special alternative distributions for sampling for which we can proof asymptotic efficiency. In our analysis of the BRB model we are able to show that it …
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Stochastic processes in T-cell signaling
… The semi-analytical method we derived using large-deviation theory and calculus of variations agrees well with computational costly brute-force simulations. Additionally, our framework unveils qualitative characteristics of key reactions regulating stochastic transitions. We believe that we …
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Rare events and dynamics in non-equilibrium systems
… second part of this thesis we develop a general theory of the geometric mechanics of a broad class of microstructured continuum systems. Specifically, we consider systems with configuration spaces that are either Lie groups, or homogeneous spaces. We demonstrate that this theory, which we call a …