Stability Theorems in Pointwise Dynamics

Khan, Abdul Gaffar; Das, Tarun

doi:10.48550/arxiv.1908.09536

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Definition 6 ([2]) a Continuous Map Of A Compact Metric Space1

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2024

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“…(See alternative definitions by Khan and Das [10] and Kim [11].) Let us try to describe the topologically GH-stable points of f. Define the orbit of p under g : X → X by…”

Section: Definition 6 ([2]) a Continuous Map Of A Compact Metric Spacementioning

confidence: 99%

Gromov–Hausdorff variational principles and measure stability ^*

Lee,

Morales,

Nguyen

2024

Nonlinearity

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Variational formulae for the Gromov–Hausdorff distances of compact metric spaces and their continuous maps are obtained. Also, a notion of µ-topological GH-stability on metric-measure spaces with probability µ is given. We prove that every expansive map with the weak µ-shadowing property (Lee and Rojas 2022 Russ. J. Nonlinear Dyn. 18 297–307) is µ-topologically GH-stable.

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“…(See alternative definitions by Khan and Das [10] and Kim [11].) Let us try to describe the topologically GH-stable points of f. Define the orbit of p under g : X → X by…”

Section: Definition 6 ([2]) a Continuous Map Of A Compact Metric Spacementioning

confidence: 99%

Gromov–Hausdorff variational principles and measure stability ^*

Lee,

Morales,

Nguyen

2024

Nonlinearity

View full text Add to dashboard Cite

show abstract

Stability Theorems in Pointwise Dynamics

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Gromov–Hausdorff variational principles and measure stability ^*

Gromov–Hausdorff variational principles and measure stability ^*

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Stability Theorems in Pointwise Dynamics

Cited by 1 publication

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Gromov–Hausdorff variational principles and measure stability *

Gromov–Hausdorff variational principles and measure stability *

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Gromov–Hausdorff variational principles and measure stability ^*

Gromov–Hausdorff variational principles and measure stability ^*