Fixed points of doubly stochastic operators with application to Markov chains
M. Heydari Berenjegani, Noha Eftekhari · Linear and Multilinear Algebra · 2023
In this work, we characterize the fixed points of the doubly stochastic operators defined on discrete spaces ℓp(I), where I is a nonempty set and p∈[1,+∞). We use our results to characterize all Markov chains with infinite state space and doubly stochastic transition probability matrix that have at least one stationary distribution vector.