# Questions tagged [stochastic-matrices]

A stochastic matrix (also termed probability matrix, transition matrix, substitution matrix, or Markov matrix) is a square matrix used to describe the transitions of a Markov chain. Each of its entries is a nonnegative real number representing a probability.

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### Existence of a specific stochastic metric

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### The integral of a Gaussian process on a unit sphere

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### Follow up: Show that these vectors are linearly independent almost surely

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### Show that these vectors are linearly independent almost surely

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### Doubly-stochastic partial-isometric matrices

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### Upper and lower bounds on the entries of a matrix power

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### Diagonalizable stochastic matrix that satisfies an equation

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### Is the Wasserstein kernel positive definite?

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### Completeness results for Categorical Quantum Mechanics restricted to one $\dagger$-Frobenius Algebra?

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### Frobenius normal form of a doubly stochastic matrix

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### Eigenvalues of cyclic stochastic matrices

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### What properties characterize the function $L(x) = x+\exp(x) \log(x)$?

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### Mixing time and spectral gap for a special stochastic matrix

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### Pre-garbling does not improve capacity of a channel

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### Birkhoff – von Neumann for “$k$-stochastic matrices”

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### Apply doubly stochastic matrix M to a probability vector, then entropy increases?

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### On the eigenvalue of the expectation value of a random matrix in quadratic form

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### Sufficient conditions for all eigenvalues simple in stochastic matrix

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### Bounds on $\|(P+\Delta)^n - P^n\|_F$ for stochastic matrices

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### On the limit of partial sum of infinite doubly stochastic matrix

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### A question on the partial sum of infinite doubly stochastic matrix

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### Constraint involving a stochastic matrix and its inverse

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### The expected square of the determinant of a random row stochastic matrix

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### Determinant of a random row stochastic matrix

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### Spectral radius of the product of a right stochastic matrix and a block diagonal matrix

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### Eigenvectors of a perturbed reducible stochastic matrix

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### Convergence of iterated stochastic matrices

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### The minimal norm of a shifted stochastic matrix

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### Non-diagonalizable doubly stochastic matrices

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