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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...
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...
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...
A Liar Game for Adaptive Covering Codes
Description Covering codes, which are sets of Hamming balls which cover the discrete hypercube, have been studied in many settings, including betting on football pools with a fixed number of matches...