On the shadowing properties for $\mathscr{G}$-processes

Peixin Fan; Zhiming Li; Bilel Selmı

doi:10.33205/cma.1865732

On the shadowing properties for $\mathscr{G}$-processes

Abstract

This paper is devoted to the investigation of several notions associated with the shadowing behavior of ${\mathscr{G}}$-processes. We introduce and explore various types of shadowing, including standard shadowing, $h$-shadowing, limit shadowing, $s$-limit shadowing, and exponential limit shadowing for ${\mathscr{G}}$-processes. It is shown that if two ${\mathscr{G}}$-processes are uniformly conjugate, then the presence of any of these shadowing properties in one implies the same property holds for the other. Moreover, we establish that a finite direct product of ${\mathscr{G}}$-processes possesses the $h$-shadowing property if and only if each constituent ${\mathscr{G}}$-process in the product exhibits this property. The same equivalence also holds for the other types of shadowing considered.

Keywords

References

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Details

Primary Language

English

Subjects

Lie Groups, Harmonic and Fourier Analysis

Journal Section

Research Article

Authors

Peixin Fan
0009-0001-7775-2548
China

Zhiming Li
0000-0002-0802-7588
China

Bilel Selmı ^*
0000-0001-8823-6699
Tunisia

Publication Date

June 16, 2026

Submission Date

January 17, 2026

Acceptance Date

June 9, 2026

Published in Issue

Year 2026 Volume: 9 Number: 2

DOI

https://doi.org/10.33205/cma.1865732

IZ

https://izlik.org/JA37BG38LD

Cite

RIS / Bibtex

APA

Fan, P., Li, Z., & Selmı, B. (2026). On the shadowing properties for $\mathscr{G}$-processes. Constructive Mathematical Analysis, 9(2), 72-83. https://doi.org/10.33205/cma.1865732

AMA

1.Fan P, Li Z, Selmı B. On the shadowing properties for $\mathscr{G}$-processes. CMA. 2026;9(2):72-83. doi:10.33205/cma.1865732

Chicago

Fan, Peixin, Zhiming Li, and Bilel Selmı. 2026. “On the Shadowing Properties for $\mathscr{G}$-Processes”. Constructive Mathematical Analysis 9 (2): 72-83. https://doi.org/10.33205/cma.1865732.

EndNote

Fan P, Li Z, Selmı B (June 1, 2026) On the shadowing properties for $\mathscr{G}$-processes. Constructive Mathematical Analysis 9 2 72–83.

IEEE

[1]P. Fan, Z. Li, and B. Selmı, “On the shadowing properties for $\mathscr{G}$-processes”, CMA, vol. 9, no. 2, pp. 72–83, June 2026, doi: 10.33205/cma.1865732.

ISNAD

Fan, Peixin - Li, Zhiming - Selmı, Bilel. “On the Shadowing Properties for $\mathscr{G}$-Processes”. Constructive Mathematical Analysis 9/2 (June 1, 2026): 72-83. https://doi.org/10.33205/cma.1865732.

JAMA

1.Fan P, Li Z, Selmı B. On the shadowing properties for $\mathscr{G}$-processes. CMA. 2026;9:72–83.

MLA

Fan, Peixin, et al. “On the Shadowing Properties for $\mathscr{G}$-Processes”. Constructive Mathematical Analysis, vol. 9, no. 2, June 2026, pp. 72-83, doi:10.33205/cma.1865732.

Vancouver

1.Peixin Fan, Zhiming Li, Bilel Selmı. On the shadowing properties for $\mathscr{G}$-processes. CMA. 2026 Jun. 1;9(2):72-83. doi:10.33205/cma.1865732