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A Dynamical Criterion Equivalent to the Riemann Hypothesis
Hendrik Wladimir Albrecht Edwin Kuipers
https://arxiv.org/abs/2509.10588 https://arxiv.org/pdf/2…

A Dynamical Criterion Equivalent to the Riemann Hypothesis
We introduce a discrete dynamical system on the integers, defined by moving a composite $m$ forward to $m+π(m)$ and a prime $p$ backward to $p-\mathrm{prevprime}(p)$. This map produces trajectories whose contraction properties are closely tied to the distribution of primes. We prove unconditional contraction inequalities for error terms derived from these trajectories, using explicit remainder bounds from the smoothed explicit formula. Building on this, we show that the Riemann Hypothesis is…

Regulating Ride-Sourcing Markets: Can Minimum Wage Regulation Protect Drivers Without Disrupting the Market?
Farnoud Ghasemi, Arjan de Ruijter, Rafal Kucharski, Oded Cats
https://arxiv.org/abs/2509.11845

Regulating Ride-Sourcing Markets: Can Minimum Wage Regulation Protect Drivers Without Disrupting the Market?
Ride-sourcing platforms such as Uber and Lyft are prime examples of the gig economy, recruiting drivers as independent contractors, thereby avoiding legal and fiscal obligations. Although platforms offer flexibility in choosing work shifts and areas, many drivers experience low income and poor working conditions, leading to widespread strikes and protests. Minimum wage regulation is adopted to improve drivers welfare. However, the impacts of this regulation on drivers as well as on travelers an…

Passive Vibration Isolation Characteristics of Negative Extensibility Metamaterials
Somya Ranjan Patro, Hemant Sharma, Seokgyu Yang, Jinkyu Yang
https://arxiv.org/abs/2507.00396

Passive Vibration Isolation Characteristics of Negative Extensibility Metamaterials
Negative extensibility refers to the category of mechanical metamaterials having an unusual phenomenon where the system contracts upon expansion. The dynamic analysis of such systems is crucial for exploring the vibration isolation characteristics, forming the prime focus of the present study. Inspired by the Braess paradox, the mechanical model incorporates coupled tunable nonlinear spring stiffness properties (strain hardening and softening), which alternate when a certain displacement thresh…