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DTSTART;TZID=America/Chicago:20240503T083000
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CREATED:20240425T192401Z
LAST-MODIFIED:20240425T192401Z
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SUMMARY:MS Thesis Defense: Mr. Sven Bergmann
DESCRIPTION:Adding a Third Normal to CLUBB\nMr. Sven Bergmann\nUniversity of Wisconsin-Milwaukee \nThe Cloud Layers Unified By Binormals (CLUBB) model uses the sum of two normal probability density function (pdf) components to represent subgrid variability within a single grid layer of an atmospheric model. This binormal approach\, while computationally efficient\, restricts the model’s ability to capture the full spectrum of potential shapes encountered in real-world atmospheric data. This thesis proposes to introduce a third normal pdf component strategically positioned between the existing two\, significantly enhancing the model’s representational flexibility. This trinormal representation allows for a wider range of grid-layer shapes while permitting analytic solutions for certain higher order moments. The core of this work lies in deriving the necessary mathematical transformations for incorporating the third normal pdf seamlessly into the CLUBB framework. This thesis lists all formulas\, inputs\, and outputs associated with the extended model as well as gives an outline\non how to check those equations. Additionally\, it describes certain asymptotic behavior of the trinormal pdf under various parameter settings. \nAdvisor: Prof. Vince Larson \nCommittee Members:\nProfs. Vince Larson\, Peter Hinow\, and David Spade
URL:/math/event/ms-thesis-defense-mr-sven-bergmann/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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DTSTART;TZID=America/Chicago:20240503T133000
DTEND;TZID=America/Chicago:20240503T140000
DTSTAMP:20260421T131500
CREATED:20240411T204952Z
LAST-MODIFIED:20240429T181640Z
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SUMMARY:PhD Dissertation Defense: Mr. Dan Noelck
DESCRIPTION:Contraction Rates For McKean-Vlassov Stochastic Differential Equations\nMr. Dan Noelck\nUniversity of Wisconsin-Milwaukee \nThis work focuses on the contraction rates for McKean-Vlasov stochastic differential equations (SDEs)\, McKean-Vlasov Stochastic differential delay equations (SDDEs)\, and path dependent McKean-Vlasov stochastic differential equations.\nUnder suitable conditions on the coefficients of the SDE\, this dissertation derives explicit quantitative contraction rates for the convergence in Wasserstein distances of McKean-Vlasov SDEs using the coupling method. The contraction results are then used to prove a propagation of chaos uniformly in time\, which\nprovides quantitative bounds on convergence rate of interacting particle systems\, and establishes exponential ergodicity for McKean-Vlasov SDEs. The dissertation further develops suitable conditions on the coefficients of the McKean-Vlasov SDDE to obtain a contraction in Wasserstein distance using the coupling method again. These results are used to establish exponential ergodicity for McKean-Vlasov SDDEs. Last the dissertation obtains suitable conditions on the coefficients of the path dependent McKean-Vlasov SDE for a contraction in Wasserstein distance. \nAdvisor: Prof. Chao Zhu \nCommittee Members:\nProfs. Lijing Sun\, Jeb Willenbring\, Richard Stockbridge\, and Peter Hinow
URL:/math/event/phd-dissertation-defense-mr-dan-noelck/
LOCATION:EMS Building\, Room E423\, E423; 3200 N Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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DTSTART;TZID=America/Chicago:20240503T140000
DTEND;TZID=America/Chicago:20240503T153000
DTSTAMP:20260421T131500
CREATED:20240422T130711Z
LAST-MODIFIED:20240422T131628Z
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SUMMARY:Colloquium: Prof. Genevieve Walsh
DESCRIPTION:Hyperbolic groups\, their boundaries and drilling\nProf. Genevieve Walsh\nProfessor of Mathematics\nTufts University \nWe will define and describe groups with a particular geometry\, hyperbolic groups. We will define the boundary of a hyperbolic group and give many examples. If time permits\, we will define a drilling of a hyperbolic group and explore how this operation changes the boundary. Any new work is joint with Groves\, Haissinsky\, Manning\, Osajda and Sisto.
URL:/math/event/colloquium-prof-genevieve-walsh/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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