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.


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, TBD

  • Dec 6: Fred Gittes, TBD

  • Dec 13: Final Exam Week

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: TBA

  • Apr 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