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We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space which carries the field. This naturally gives rise to a feedback mechanism between the field...
In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. In this paper, we introduce the concept of multiv...
Testing and characterizing the difference between two data samples is of fundamen-tal interest in statistics. Existing methods such as Kolmogorov-Smirnov and Cramer-von-Mises tests do not scale well a...
In this paper, we relate the coupling of Markov chains, at the basis of perfect sampling methods, with damage spreading, which captures the chaotic nature of stochastic dynamics. For two-dimensional ...
We consider perfect simulation algorithms for locally stable point processes based on dominated coupling from the past, and apply these methods in two different contexts. A new version of the algori...
We construct a Riemannian manifold where the Kendall-Cranston coupling of two Brownian particle does not maximize the coupling probability.
We consider perfect simulation algorithms for locally stable point pro- cesses based on dominated coupling from the past. A version of the al- gorithm is developed which is feasible for processes wh...

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