37 citations · 218 across the 22 of their papers we have counts for
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On Quantum Markov Chains on Cayley tree III: Ising model
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In this paper, we consider the classical Ising model on the Cayley tree of order k and show the existence of the phase transition in the following sense: there exists two quantum M…
On Quantum Markov Chains on Cayley tree II: Phase transitions for the associated chain with XY-model on the Cayley tree of order three
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In the present paper we study forward Quantum Markov Chains (QMC) defined on a Cayley tree. Using the tree structure of graphs, we give a construction of quantum Markov chains on a…
On Quantum Markov Chains on Cayley tree I: uniqueness of the associated chain with XY-model on the Cayley tree of order two
Luigi Accardi, Farrukh Mukhamedov, Mansoor Saburov
In the present paper we study forward Quantum Markov Chains (QMC) defined on Cayley tree. A construction of such QMC is provided, namely we construct states on finite volumes with…