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Fastest Mixing Markov Chain on Graphs with Symmetries
Markov chains fast mixing eigenvalue optimization semidefi nite programming
2015/7/9
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest ei...
A study of symplectic actions of a finite group G on smooth 4-manifolds is initiated. The central new idea is the use of G-equivariant Seiberg–Witten–Taubes theory in studying the structure of the fix...
Smooth and symplectic symmetries of an infinite family of distinct exotic K3 surfaces are studied, and a comparison with the corresponding symmetries of the standard K3 is made. The action on the K3 l...
Information Symmetries in Irreversible Processes
stochastic process reversibility irreversibility hidden Markov model
2011/7/19
We study dynamical reversibility in stationary stochastic processes from an information theoretic perspective. Extending earlier work on the reversibility of Markov chains, we focus on finitary proces...