## WSU Analysis Seminar

**Time and Location**: Wednesdays, from 4:10 - 5:00pm in room 5W of Neill Hall**Contact**: Kevin R. Vixie, vixie@speakeasy.net**Credit**: You can take this Seminar for credit.

### Spring 2017

- Jan 11: Organizational Meeting
- Jan 18: (University Closed)
Jan 25: Laramie Paxton:

**The Henstock Integral: A sequential approach**Feb 1: Yunfeng Hu,

**Small unions with large set of centers**Feb 8: Kevin R. Vixie,

**When Linear Approximations Work**Feb 15: Kevin R. Vixie,

**Favorite Analysis Problems: I**Feb 22: Matt Duez,

**Introduction to Numerical Relativity**Mar 1: Henry Riely,

**Different Notions of Summability - Regular, Cesaro, Abel: an exercise and discussion**Mar 8: Laramie Paxton:

**Constant Mean Curvature for Volume-constrained Perimeter Minimizer**Mar 15:

**Spring Break**Mar 22: Vlad Oles

**Fourier expansion of Boolean functions f: F_2^n to F_2**Mar 29: Henry Riely

**Boundary Behavior of Harmonic Bloch Functions**Apr 5: Yufeng Cao

**Medical Image Segmentation**Apr 12: (UM Visitor)

**Topology of 3-manifolds and their SL_2(C) character varieties**Apr 19: Jean Taylor,

**Everything you always wanted to know about soap bubbles**7:00 pm**Location**: TBAApr 20: Jean Taylor,

**How do complex crystals (including quasicrystals) grow?**Apr 26: Hossein Noorazar

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**Fall 2016**

**Aug 31: Yunfeng Hu and Enrique Alvarado,**A brief introduction to geometric measure theory: Part I**Sept 7: Kevin R. Vixie,**Applications of analysis and geometric measure theory**Sept 14: Enrique Alvarado and Yunfeng Hu,**A brief introduction to geometric measure theory: Part II**Sept 21: Yunfeng Hu,**A Local Structure Theorem for Regular Median Currents**Sept 28: Igor Boglaev,**Monotone numerical methods for nonlinear parabolic and integro-parabolic problems**Oct 5: Yusen Zhan,**Variational Inequalities in Policy Search: The Non-Convex Case**Oct 12: Justin Marks,**Matrix Manifold Means**Oct 19: Kevin R. Vixie,**Open Problems and Conjectures in Geometric Analysis**Oct 26: Hong-Mong Yin,**The Role of Critical Exponent in the Heat Equation with a Nonlinear Source**Nov 2: Henry Riely,**The Chang-Wilson-Wolff Inequality**Nov 9: Fred Gittes,**Electromagnetism is geometry**Nov 16: Hongbo Dong,**Structure Properties for Affine Sparsity Constraints**Nov 23: Thanksgiving Vacation****Nov 30: Nikos Voulgarakis,**(Cancelled)**Dec 7: Enrique Alvarado,**A Lower Bound on the Reach of Flat Norm Minimizers**Dec 14: Final Exam Week**

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**Spring 2016**

- Jan 13: Organizational Meeting
**Jan 20: Thomas Cameron,**Spectral Bounds for Unitary Matrix Polynomials**Jan 27: Matt Challacombe,**Inverse Factorization in Complexity Science**Feb 3: Kazuo Yamazaki,**Large Deviation Principle (LDP) for the Stochastic PDE in Fluid Mechanics**Feb 10: Kevin R. Vixie,**Regular sets, Cubical Covers and Set Approximation**Feb 17: Alex Panchenko,**Approximation of integrals, empirical measures, and optimal transport**Feb 24: Jim Cockreham,**Entropy and Approximate Convexity**Mar 2: Frank Gao,**A probabilistic characterization of negative definite functions**Mar 9:**Cancelled**Mar 16: Spring Vacation!****Mar 23: Predrag Tosic,**On Digraphs, Formal Transition Systems and Agent-based Modeling**Mar 30: Arpad Benyi,**BMO, commutators and weights**Apr 6: Alex Panchenko,**Boolean Gene Expression Networks**Apr 13: Yufeng Cao,**L^1TV for image decomposition**Apr 20: Henry Riely,**Random Walks and Martingales.**Apr 27: Sean Mc****Curdy,**A Rectifiable Reifenberg Theorem

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**Fall 2015**

- August 26: Organizational Meeting
**Sept 2: Stan Swierczek,**Introducing the method of characteristics with the 1-D traffic equation**Sept 9: Kevin R. Vixie,**The Coarea Formula**Sept 16: Sheng-Chi Liu,**Congruent Numbers**Sept 23: Kazuo Yamazaki,**Ergodicity for the stochastic partial differential equations of fluid mechanics**Sept 30: Hong-Ming Yin,**Poincare's Inequity and Its Application for Vector Fields.**Oct 7: Haijun Li,**A Problem of Kolmogorov**Oct 14: Stephen Lewis,**Local Set Approximation**Oct 21: Alex Panchenko,**((Cancelled))**Oct 28: Linh Nguyen,**Mathematics of thermo- and photo-acoustic tomography**Nov 4: Yves Nievergelt,**The probability that two samples on a convex curve have disjoint convex hulls**Nov 11: ((Veterans Day))****Nov 18: Yunfeng Hu,**Differential Geometry of Curves in Lorentz-Minkowski space, Part I**Nov 25: ((Thanksgiving Break))****Dec 2: Enrique Alvarado,**Differential Geometry of Curves in Lorentz-Minkowski space, Part II**Dec 9: Jayadev S. Athreya,**Gap distributions and homogeneous dynamics

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**Spring 2015**

**January 21: Sharif Ibrahim,**Marijuana and the Mathematics of Randomness**January 28: Kazuo Yamazaki,**3-D stochastic micropolar and magneto-micropolar fluid systems with non-Lipschitz multiplicative noise**February 4: Joshua Kaminsky,**An Intuitive Characterization of Weak Convergence of Empirical Measure to Lebesgue Measure**February 11: Frank Gao,**Compactness of q-hulls (q<=1) in Banach spaces of type p**February 18: David Wollkind,**Nonlinear Stability Analysis of Rayleigh-Bénard Convection in an Aerosol Smoke-Gas Layer: Comparison of Theoretical Predictions with Laboratory Experimental Data**February 25: Sheng-Chi Liu,**Kronecker limit formulae and their applications**March 4: Kevin R. Vixie,**Shapes, Mean Shapes, Median Shapes and the Multiscale Flat Norm**March 11: Haijun Li,**A World with Less Gaussian**March 18: SPRING BREAK****March 25: ((No Analysis Seminar -- Ostrom Lecture at 7:00))****April 1: Krishna Athreya,**Coalescence in Branching Processes**April 8: Alex Panchenko,**Nonlocal continuum models of particle systems**April 15: Linh Nguyen,**Microlocal analysis and X-ray computed tomography**April 22: Yunfeng Hu,**What about median of shapes?**April 29: Robert Mifflin,**Generalized Gradients in Nonsmooth Analysis

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**Fall 2014**

**August 27: Kevin R. Vixie,**Rectifiable Sets: characterizations and regularity**September 3: Sheng-Chi Liu,**Riemann hypothesis and the distribution of prime numbers**September 10: Chuck Moore,**The first digit law**September 17: Kazuo Yamazaki,**Tools for PDE**September 24: Xueying Wang,**Clustering in inhibitory neural networks**October 1: Joshua Kaminsky,**Tangents in Metric Spaces**October 8: Haijun Li,**Majorizing or Minorizing: A Theory of Inequalities**October 15: Bala Krishnamoorthy,**Target enumeration using Euler integration**October 22: Elissa Schwartz,**Modeling Equine Infectious Anemia Virus Infection: Virus Dynamics, Immune Control and Escape**October 29: David Wollkind,**From Molecules to the Navier-Stokes Equations**November 5: Katarina Jegdic,**Two-dimensional Riemann problems in gas dynamics**November 12: Frank Gao,**Covering numbers of bounded convex functions on compact convex sets**November 19: Sharif Ibrahim,**Brouwer's Fixed Point Theorem: A game based proof**November 26: THANKSGIVING VACATION****December 3: Talk cancelled****December 10: Yunfeng Hu,**How smooth is your convolution?**Moved to next semester: Kevin R. Vixie,**Exploring Sard's Theorem

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**Spring 2014**

**January 22: Kevin R, Vixie,**An Informal Introduction to the VC Dimension**January 29: David Wollkind,**Nonlinear Stability Analyses of Turing Patterns for a Mussel-Algae Model**February 5: Joshua Kaminsky,**Banach-Tarski, Banach-Tarski**February 12: David S. Watkins,**Quantum Mechanics 101**February 19: Sheng-Chi Liu,**Weyl sums and equidistributions in number theory**February 26: Xueying Wang,**A Disease Threshold: the Basic Reproduction Number**March 5: Haijun Li,**Choquet Integrals, Shapley's Value and Ellsberg's Paradox**March 12: Jared Aurentz,**Polynomial Interpolation in the Complex Plane**March 19:**Spring Vacation**March 26: David S. Watkins,**Angular Momentum in Quantum Mechanics**April 2: Charles Moore,**From Khintchine to Weiss and Beyond**April 9: Alex Khapalov,**Multiplicative controllability for the reaction-diusion equation with target states admitting finitely many changes of sign**April 16: Yunfeng Hu,**Hausdorff Estimation of Density Level Sets**April 23: Hossein Noorazar,**Induced Dimension Reduction**April 30 Sharif Ibrahim,**TBA

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**Fall 2013**

**August 28: Kevin R. Vixie,**Geometry from Derivatives: from Edges to Tubes**September 4: Svetlana Lockwood,**The Johnson-Lindenstrauss Lemma**September 11: David Wollkind,**A Model Equation for Singular Perturbations**September 18: Jared Aurentz,**Laurent, Fourier and Chebyshev: A Roadmap to Chebyshev Polynomials**September 25: Sharif Ibrahim,**The Simplicial Multiscale Flatnorm and Deformation Theorem**October 2: Charles Moore,**Forward-backward Equations**October 9: Hong-Ming Yin,**The Main Inequality in Vector Analysis**October 16: Haijun Li,**From Hoeffding's Tail Inequality to Concentration of Measure**October 21-23: Predrag Tosic,**Two-Player Non-Zero Sum Games and Models of Rational Behavior: Lessons from the Iterated Traveler’s Dilemma**October 28-30: Susanna Dann,**Short Course on the Busemann-Petty Problem**November 6: Sheng-Chi Liu,**Quantum Unique Ergodicity**November 13: Hongbo Dong:**Efficient Representations of Polytopes and Convex Sets**November 20: Kevin R. Vixie:**Compressed Sensing: an overview with some details**November 27:**Thanksgiving Vacation**December 4: Alexander Panchenko:**An Introduction to the Mathematical Analysis of the Irwing-Kirkwood Procedure