College of Arts and Sciences

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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