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 7 of 7 for “"Simple exclusion process"”.
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Nonlinear Feedback and Stochastic Control in Translation
… living organisms. Proteins are made from a process called translation, in which a ribosome decodes mRNA, a single-stranded copy of DNA, to produce a specific amino acid chain. <br/>Given the essential role of proteins in maintaining life, it is of central importance to comprehend the …
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Scaling limits of random plane partitions and six-vertex models
… in the quadrant, and we obtain the GUE-corners process as a scaling limit for this class near the boundary. Our final result, joint with Ivan Corwin, demonstrates the (long predicted) transversal 2/3 critical exponent for the height functions of the stochastic sixvertex model and asymmetric …
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Applications of Field Theory to Reaction Diffusion Models and Driven Diffusive Systems
… the special case where the environment follows a simple relaxational (model A) dynamics. We find two marginal couplings with upper critical dimension of four, which couple the two theories in a nontrivial way. While the Wilson-Fisher fixed point remains completely unaffected, a mismatch of time …
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Inhomogeneous Totally Asymmetric Simple Exclusion Processes: Simulations, Theory and Application to Protein Synthesis
In the process of translation, ribosomes, a type of macromolecules, read the genetic code on a messenger RNA template (mRNA) and assemble amino acids into a polypeptide chain which folds into a functioning protein product. The ribosomes perform discrete directed motion that is well modeled by a …
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Control of stochastically interacting systems on networks
… essential features - (i) they are stochastic processes, (ii) they are made up several individual components connected through a network, and (iii) the connected components influence one another through local interactions. This thesis presents analysis and control of three representative …
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Hydrodynamic behaviour of active and multi-species exclusion processes
This thesis investigates the effects of volume exclusion on large-scale collective behaviour in active and multi-species systems. We first focus on the effects of volume exclusion using the method of matched asymptotics on a multi-species exclusion process. This results in a cross-diffusion system …
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Totally Asymmetric Simple Exclusion Processes with Finite Resources
… of living organisms. During the translation process in protein synthesis, ribosomes move along the mRNA strand constructing proteins based on the sequence of codons that form a gene. The totally asymmetric simple exclusion process (TASEP) models well the translation process. However, these …