Department of Mathematics, Applied Mathematics and Statistics

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MS Thesis Defense-Yukun Song (July 28, 2017)

Date posted: July 27th, 2017

Friday, July 28, 2017 (11:00 a.m. in Yost 306)
Title: Stochastic Integrals with respect to Tempered alpha-Stable Levy Process
Student: Yukun Song
Advisor: Wojbor Woyczynski (Professor, Case Western Reserve University)
Abstract: As we know, there are many equalities and inequalities for stochastic integrals. …Read more.

Analysis and Probability Seminar- May 2, 2017

Date posted: April 24th, 2017

Tuesday, May 2, 2017 (3:00 p.m. in Yost 306)
Title: Random polytopes: An introduction and recent developments-Part II
Speaker: Julian Grote (PhD Student, University of Bochum and Case Western Reserve University)
Abstract: Random polytopes are among the most classical and popular models considered in stochastic geometry, and their study has become a rapidly developing branch of mathematics at the borderline between geometry and probability. …Read more.

MS Thesis Defense-Greg Knapp (April 27, 2017)

Date posted: April 24th, 2017

Wednesday, April 27, 2017 (2:00 p.m. in Yost 306)
Title: Convex Geometry and Minkowski’s Linear Forms Theorem in Elementary Function Arithmetic
Speaker: Greg Knapp (Case Western Reserve University)
Advisor: Colin McLarty (Professor, Case Western Reserve University)
Abstract: A classical question in formal logic is “how much mathematics do we need to know in order to prove a given theorem?”  Of particular interest is Harvey Friedman’s grand conjecture: that every known mathematical theorem involving only finitary mathematical objects can be proven from Elementary Function Arithmetic (EFA)—a weaker variant of Peano Arithmetic.   …Read more.

Institute for the Science of Origins Lecture

Date posted: April 12th, 2017

Monday, May 1, 2017 (4:00 p.m., Miller Room, Rockefeller Hall Room 221)
Title: Molecular Communication and the Origins of Biological Information Processing
Speaker: Andrew Eckford (Associate Professor, Department of Electrical Engineering and Computer Science, Lassonde School of Engineering, York University)
Abstract: Microbiological systems communicate through the exchange of molecules, such as ligands in signal transduction. …Read more.

MBI National Mathematical Biology Colloquium

Date posted: April 12th, 2017

Wednesday, April 12, 2017 (12:00 p.m. in Yost 306)
Title: Cell Physiology – Making Diffusion Your Friend
Speaker: Jim Keener (Distinguished Professor of Mathematics, University of Utah)
Abstract: Diffusion is the enemy of life. …Read more.

Colloquium-April 7, 2017

Date posted: March 31st, 2017

Friday, April 7, 2017 (3:15 p.m. in Yost 306)
Title: Martingales and a generalization
Speaker: Christian Gromoll (Associate Professor, University of Virginia)
Abstract: One of the fundamental objects in probability theory is the martingale, which together with its siblings the submartingale and supermartingale can be thought of as a random analogue of the familiar monotone sequence of numbers (constant, nondecreasing, nonincreasing). …Read more.

MS Project Presentation-Yu Deng

Date posted: March 31st, 2017

Wednesday, April 5, 2017 (2:30 p.m. in Yost 306)
Title: Data mining: application of clustering method
Speaker: Yu Deng (Case Western Reserve University)
Advisor: Patti Williamson (Senior Instructor, Case Western Reserve University)
Abstract: The project mainly focuses on three different types of clustering method: K-means clustering, hierarchical clustering, and genetic programming approach. …Read more.

MS Thesis Defense-Wesley Maddox (April 5, 2017)

Date posted: March 29th, 2017

Wednesday, April 5, 2017 (1:00 p.m. in Yost 306)
Title: Dependency measures and copulas for multidimensional infinitely divisible distributions
Speaker: Wesley Maddox (Case Western Reserve University)
Advisor: Wojbor Woyczynski (Professor, Case Western Reserve University)
Abstract: Multivariate Linnik distributions, despite their potential usefulness, have not been well-studied due to their difficulty in finding representations and estimators. …Read more.

MS Thesis Defense-James Austrow (March 31, 2017)

Date posted: March 28th, 2017

Friday, March 31, 2017 (2:00 p.m. in Yost 306)
Title: Conservation Laws Driven by Lévy Stable and Linnik Diffusions: Shock Dissolution and Hausdorff Dimension
Speaker: James Austrow (Case Western Reserve University)
Advisor: Wojbor Woyczynski (Professor, Case Western Reserve University)
Abstract: We study two problems involving stochastic Burgers flows. …Read more.

MS Thesis Defense-Yuchen Han (March 31, 2017)

Date posted: March 28th, 2017

Friday, March 31, 2017 (10:30 a.m. in Yost 306)
Title: Bayesian variable selection using Lasso
Speaker: Yuchen Han (Case Western Reserve University)
Advisor: Anirban Mondal (Assistant Professor, Case Western Reserve University)
Abstract: This thesis proposes to combine the stochastic search variable selection (SSVS) approach and Bayesian Lasso approach by introducing a double exponential distribution on the conditional prior of the regression parameters given the indication variables. …Read more.

Analysis and Probability Seminar- April 11, 2017

Date posted: March 27th, 2017

Tuesday, April 11, 2017 (3:00 p.m. in Yost 306)
Title: Random polytopes: An introduction and recent developments
Speaker: Julian Grote (PhD Student, University of Bochum and Case Western Reserve University)
Abstract: Random polytopes are among the most classical and popular models considered in stochastic geometry, and their study has become a rapidly developing branch of mathematics at the borderline between geometry and probability. …Read more.

Colloquium-March 31, 2017

Date posted: March 23rd, 2017

Friday, March 31, 2017 (3:15 p.m. in Yost 306)
Title: Solution uncertainty quantification for differential equations
Speaker: Oksana Chkrebtii (Assistant Professor, The Ohio State University)
Abstract: When models are defined implicitly by systems of differential equations without a closed form solution, small local errors in finite-dimensional solution approximations can propagate into large deviations from the true underlying state trajectory. …Read more.

Page last modified: March 23, 2017