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Symmetry Studies

Description Abstract In this seminar I will outline the theory and methods of symmetry studies, including the notions of structured data and data reduction by symmetrically equivalent components. I...

Turbulent Mixing and Beyond

Description Abstract Whenever fluids of different densities are accelerated against the density gradient we observe the development of the Rayleigh-Taylor instability (RTI), which causes extensive...

Numerical Integration in High Dimensions using Digital Nets

Pattern Detection for Point Processes

Description Abstract To understand how the brain processes information, it is often necessary to search for neural activity that exhibits certain patterns. This is in particular important for the...

Random Geometric Graph Diameter in the Unit Ball

Weak Numerical Schemes for Stochastic Differential Equations in Geophysics

Abstract In the past few decades, scientists studying the partial differential equations used to describe the dynamics of the atmosphere and oceans in weather and climate models have become...

Analysis of the Multiplicity Matching Parameter in Suffix Trees

Description Abstract We analyze one redundant aspect of the encoder for the Lempel-Ziv '77 data compression algorithm. We prove that the number of pointers into the LZ'77 database asymptotically...

Sharp Estimates for the Dimension of the Attractors for the Navier-Stokes Equations

Fredholm Differential Operators and Dichotomy

SpeakerYuri LatushkinDepartment of Mathematics, University of Missourihttp://www.math.missouri.edu/~yuri/ Description Abstract We prove that a first order linear differential operator G=-d/dt+A(t)...

Additive Multigrid Theory

SpeakerSusanne BrennerDepartment of Mathematics, University of South Carolinahttp://www.math.sc.edu/~fem/brenner.html Description Abstract The convergence of the V-cycle multigrid algorithm is usually...