Junjie Miao

activity

20242026

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2 papers · 1 filter

math.FA2026

Noncommutative Mean Value Theorems for Free Noncommutative Functions

Yali Du, Jun Jie Miao, Tianjiao Tan

In this paper, we study noncommutative analogues of the classical Cauchy and Lagrange mean value theorems in the setting of free noncommutative function theory. For noncommutative…

math.DS2026

Dimensions of Bedford-McMullen type sets in $Z^{2}$

Junjie Miao, Minghui Xu

We study forward orbits in $Z^{2}$ generated by the expanding affine maps $(x, y) \mapsto (m x + i, n y + j)$ , where $m \geq n \geq 2$ are integers and $(i, j)$ ranges over a nonempty digit…

Noncommutative Mean Value Theorems for Free Noncommutative Functions

Dimensions of Bedford-McMullen type sets in Z2

Dimensions of Bedford-McMullen type sets in $Z^{2}$