Kesong Yan

collaborators

4 papers

math.DS2025

A new construction of counterexamples to the bounded orbit conjecture

Jiehua Mai, Enhui Shi, Kesong Yan +1

The bounded orbit conjecture says that every homeomorphism on the plane with each of its orbits being bounded must have a fixed point. Brouwer's translation theorem asserts that th…

math.DS2024

$(I ¨ , I^\pm, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square

Jiehua Mai, Enhui Shi, Kesong Yan +1

For a homeomorphism $f$ of a compact metric space $X$ and a positive integer $n \geq 2$ , we introduce the notion of $(I ¨ , I^\pm, n)$ -sensitivity of $f$ , which describes such a kind of…

math.DS2024

Can points of bounded orbits surround points of unbounded orbits ?

Jiehua Mai, Enhui Shi, Kesong Yan +1

We show a somewhat surprising result: if $E$ is a disk in the plane $R^{2}$ , then there is a homeomorphism $h : R^{2} \to R^{2}$ such that, for every $x\in\pa…

math.DS2024

Orientation Preserving Homeomorphisms of the Plane having BP-Chain Recurrent Points

Jiehua Mai, Kesong Yan, Fanping Zeng

More than a century ago, L. E. J. Brouwer proved a famous theorem, which says that any orientation preserving homeomorphism of the plane having a periodic point must have a fixed p…

A new construction of counterexamples to the bounded orbit conjecture

(I¨,I^±,n)-sensitivity and limit sets of zero entropy homeomorphisms on the square

Can points of bounded orbits surround points of unbounded orbits ?

Orientation Preserving Homeomorphisms of the Plane having BP-Chain Recurrent Points

$(I ¨ , I^\pm, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square