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$\dfrac{1}{T}\underset{t = 0}{\overset{T - 1}{\sum}}xP^t$ converges

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#linear-algebra #matrices #markov-chains #stochastic-matrices
109
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Using the Limit Theorem on a Stochastic Matrix

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#limits #stochastic-processes #markov-chains #stochastic-matrices
871
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What is the steady state of a stochastic matrix if it has two linearly independent eigenvectors corresponding to the eigenvalue $1$?

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#linear-algebra #matrices #markov-chains #stochastic-matrices
270
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The inverse of stochastic matrices, how to classify them?

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#matrices #eigenvalues-eigenvectors #soft-question #inverse #stochastic-matrices
280
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Diagonal of (self) product of doubly stochastic transition matrix

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#probability #matrices #stochastic-processes #markov-chains #stochastic-matrices
41
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Stochastic matrices for continuous-time linear systems

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#linear-algebra #matrices #ordinary-differential-equations #dynamical-systems #stochastic-matrices
122
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Preposition about the Entries of the Product of Markov Matrices.

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#linear-algebra #complex-numbers #markov-process #stochastic-matrices
510
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Doubly stochastic matrices as linear combinations of permutation matrices

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#matrices #stochastic-matrices
942
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Is the convex combination of stochastic matrices also stochastic?

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#linear-algebra #matrices #convex-analysis #stochastic-matrices
439
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Eigenvalue of stochastic matrix

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#matrices #eigenvalues-eigenvectors #stochastic-matrices
2.7k
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Finding a limiting matrix

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#matrices #markov-chains #stochastic-matrices
106
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What are Markov matrices and can they be used to model migration?

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#matrices #markov-chains #stochastic-matrices
65
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How can block-matrices be irreducible?

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#stochastic-processes #markov-chains #markov-process #transition-matrix #stochastic-matrices
64
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Variance of random matrix?

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#probability #expected-value #variance #symmetric-matrices #stochastic-matrices
204
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Given an $n\times n$ irreducible stochastic matrix $P$, how to prove that ${\rm rank}(I-P)=n-1$?

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#linear-algebra #matrices #markov-chains #matrix-rank #stochastic-matrices

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