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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

Strongly Chordal Graphs and Related Structures

Description Strongly chordal graphs were introduced by Farber in 1983, as a restricted class of graphs for which the weighted dominating set problem can be solved in polynomial time; the problem is NP...

Fractal Sets and Boundary Theory

Description We discuss how the boundary concept can be used to describe fractal sets. Two examples illustrate this: 1. Polynomial endomorphisms of C2 and their Julia sets; 2. Self-similar fractals...

An Axiomatic Approach to Numerical Approximation of Stochastic Processes

Speaker Henri Schurz Department of Mathematics, Southern Illinois University http://lagrange.math.siu.edu/Schurz/personal.html Description An axiomatic approach to the numerical approximation of...