33 citations · 176 across the 33 of their papers we have counts for
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math.OA2006
KMS states and branched points
Masaki Izumi, Tsuyoshi Kajiwara, Yasuo Watatani
We completely classify the KMS states for the gauge action on a -algebra associated with a rational function introduced in our previous work. The gauge action has a phase…
math.DS2006★ 32 cited
The ratio set of the harmonic measure of a random walk on a hyperbolic group
Masaki Izumi, Sergey Neshveyev, Rui Okayasu
We consider the harmonic measure on the Gromov boundary of a nonamenable hyperbolic group defined by a finite range random walk on the group, and study the corresponding orbit equi…