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math.DS2026
Selections of Set-Valued Maps under Stieltjes Clocks: Regularity, Variation, and Atomic Structure
Serkan İlter, Hülya Duru, Seyit Koca
A Stieltjes clock allows effective time to advance continuously, remain unchanged over intervals, or jump. We study whether a compact-valued set-valued map evolving relative to a S…
math.CA2026
Super-g-Hölder Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes Clock
Serkan İlter, Hülya Duru, Seyit Koca
Unlike ordinary time, a Stieltjes clock may advance continuously, remain constant over intervals, or jump. For an ordinary continuous clock, Hölder regularity with exponent f…
math.GN2026
Hölder Selections under Stieltjes Clocks: Uniform Disconnectedness and Jump Dominance
Serkan İlter, Hülya Duru, Arkady Kitover +1
It is known that, for ordinary Hölder multifunctions with 0 < α < 1, Hölder regularity alone does not guarantee the existence of a Hölder selection, and in general even a continuou…