A new SU(2) anomaly
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5082852
Abstract: A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin… read more here.
Keywords: fermion multiplets; new anomaly; number fermion; theory ... See more keywords
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0050560
Abstract: In the spirit of the well-known odd-number limitation, we study the failure of Pyragas control of periodic orbits and equilibria. Addressing the periodic orbits first, we derive a fundamental observation on the invariance of the… read more here.
Keywords: geometric invariance; number; odd number; pyragas control ... See more keywords
A PVT-Tolerant Oscillation-Collapse-Based True Random Number Generator With an Odd Number of Inverter Stages
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2022.3184950
Abstract: This brief proposes a PVT-tolerant true random number generator (TRNG) based on a ring oscillator (RO) with an odd number of inverter stages. By introducing a Muller C-element in each racing path of the RO,… read more here.
Keywords: pvt tolerant; number; true random; number generator ... See more keywords
Research on the Number of Solutions to a Special Type of Diophantine Equation (ax−1)(by−1) = 2z2
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DOI: 10.3390/math11112497
Abstract: Let b be an odd number. By using elementary methods, we prove that: (1) When x is an odd number and y is an even number, the Diophantine equation (2x−1)(by−1)=2z2 has no positive integer solution… read more here.
Keywords: diophantine equation; number; special type; odd number ... See more keywords