## WSU Analysis Seminar

**Time and Location**: Wednesdays, from 4:10 - 5:00pm in room 5W of Neill Hall**Contact**:**Enrique Alvarado**, ealvarado9611@gmail.com or**Henry Riely**, henry.riely@gmail.com

**Credit**: You can take this Seminar for credit.

### Fall 2018

Aug 29: Walter Rudin,

**Set Theory: Offspring of Analysis**Sep 5: Enrique Alvarado,

**Analyst’s Traveling Salesman Problem and Jones’ Beta numbers**Sep 12: Matt Duez,

**Space Without Points: the Fuzzy Sphere for Physics Students**Sep 19: Jakob Streipel,

**Filters and topology**Sep 26: Song-ping Zhu,

**TBA**Oct 3: Yufeng Cao,

**TBA**Oct 10: Xiongzhi Chen,

**TBA**- Oct 17:
Oct 24: Zach Hilliard,

**TBA**- Oct 31:
Nov 7: Adebo Sijuwade,

**TBA**Nov 14: Henry Riely,

**What is ... a square function?**- Nov 21: Thanksgiving Vacation
Nov 28: Vlad Oles,

**TBA**Dec 5: Katrina Sabochick,

**TBA**- Dec 12: Final Exam Week

### Spring 2018

Jan 24: Yunfeng Hu and Henry Riely,

**A Second Order Differential Inequality; Sperner's Remarkable Lemma**Jan 31: Laramie Paxton, Henry Riely, and Enrique Alvarado,

**Three Short Pieces in Analysis**Feb 7: Kevin R. Vixie,

**Approximation, Cones, and The Implicit Function Theorem**Feb 14: Kevin R. Vixie,

**Median Shapes: A Guided Tour**Feb 21: Vlad Oles,

**Gromov-Hausdorff metric application to temporal networks**- March 7: ((Cancelled))
March 21: Hong-Ming Yin,

**Inverse Problems in Partial Differential Equations**March 28: Jacob Streipel.

**An Introduction to Discrete Dynamical Systems**April 4: Steven Tomsovic,

**The unusual nature of the baker’s map: a paradigm of chaos**- April 11: ((Cancelled due to Ostrom Lecture))
April 18: David Field,

**Stereological Characterization of Grain Boundaries and Triple Junctions in Polycrystals**April 25: Kevin R. Vixie and Enrique Alvarado,

**An Invitation to Varifolds + An Announcement**

### Fall 2017

Aug 30: Henry Riely,

**The Bellman function technique for proving sharp martingale inequalities**Sept 6: Yunfeng Hu,

**Concentration of Measure**Sept 13: Kevin R. Vixie,

**Concentration of Measure, Again -- With Pictures**Sept 20: Kevin R. Vixie and Enrique Alvarado,

**Why Learn Analysis + Seven Short Courses: An Invitation**Sept 27:

**(Cancelled)**Oct 4: Hong-Ming Yin,

**Optimal Control Problems in Partial Differential Equations**Oct 11: Charles Moore,

**On the Kakeya Set Problem**Oct 18: Laramie Paxton,

**Rademacher Functions and L^p Norms**Oct 25: Enrique Alvarado,

**Optimal Transport and Wasserstein Spaces**Nov 1: Adebo Sijuwade,

**Fractional Integral Operators and Exponential Integrability**Nov 8: Joseph Nakao,

**Solving for Exact Stationary Solutions of Shallow-water Waves**Nov 15: Matt Duez,

**The Leibniz-Clarke debate revisited**- Nov 22: Thanksgiving Vacation
Nov 29: Yufeng Cao,

**Maximum Flow Algorithm for Total Variation Minimization**Dec 6: Fred Gittes,

**Falling Cats, Curvature and Gauge Theory**- Dec 11-14: Short Course week
Monday, December 11th

*Location: Spark 339*- 1:00 - 3:00 pm

**Poincare Inequality on Varifolds**Adebo Sijuwade- 3:30 - 4:30 pm

**Singular Integrals I**Laramie Paxton- 4:45 - 5:45 pm

**Analysis on Graphs I**Altansuren Tumurbaatar

Tuesday, December 12th

*Location: Spark 339*- 1:00 - 2:00 pm

**Singular Integrals II**Laramie Paxton- 2:15 - 4:15 pm

**A Rough Path Approach to Stochastic Differential Equations**Kellan Toman- 4:45 - 5:45 pm

**Analysis on Graphs II**Altansuren Tumurbaatar

Wednesday, December 13th,

*CUE (Smith Center) 316*- 1:00 - 2:00 pm

**Functions of Bounded Variation I**Enrique Alvarado- 2:15 - 3:15 pm

**Singular Integrals III**Laramie Paxton- 3:45 - 5:45 pm

**Methods of Image Analysis**Yufeng Cao

Thursday, December 14th,

*Location: Spark 335*- 10:00 - 11:30 am

**Concentration of Measure I**Yunfeng Hu - 11:30 - 12:30 pm (((Lunch Break)))- 12:30 - 2:00 pm

**Concentration of Measure II**Yunfeng Hu- 2:15 - 4:15 pm

**Functions of Bounded Variation II**Enrique Alvarado- 4:30 - 5:30 pm

**Singular Integrals IV**Laramie Paxton

### 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: Adebo Sijuwade

**Riesz Potentials and an alternate proof of the fundamental GNS inequality**Apr 5: Yufeng Cao

**Medical Image Segmentation**Apr 12: Charles Katerba

**From Hyperbolic to Algebraic Geometry via 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

**Opinion dynamics models based on interaction potentials with topic coupling**

### 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

### 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 McCurdy,

**A Rectifiable Reifenberg Theorem**

### 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**

### 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**

### 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**

### 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**

### 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**