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Rotation invariants of two dimensional curves based on iterated integrals
Rotation invariants two dimensional curves based iterated integrals
2013/6/17
We introduce a novel class of rotation invariants of two dimensional curves based on iterated integrals. The invariants we present are in some sense complete and we describe an algorithm to calculate ...
Monte Carlo Algorithms for the Partition Function and Information Rates of Two-Dimensional Channels
Two-dimensional channels constrained channels partition function Gibbs sampling importance sampling factor graphs sum-product message passing capacity information rate
2011/6/21
The paper proposes Monte Carlo algorithms for
the computation of the information rate of two-dimensional
source / channel models. The focus of the paper is on binary-input
channels with constraints...
Some two-dimensional finite energy percolation processes
energy percolation processes two-dimensional
2009/4/22
Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the p...