The Frobenius–Perron theory of an endofunctor a category was introduced in recent years (Chen et al. Algebra Number Theory 13(9):2005–2055, 2019; Chen for projective schemes. Preprint. arXiv:1907.02221 , 2019). We apply this to monoidal (or tensor) triangulated structures quiver representations.

129 adic, 130 canonical (CNS), 93 Dumont-Thomas, 333, 516 linear, 81 positional, 125 scale, 80, 125 numerical value, 41 S-numerical value, 129 occurrence, 355 odometer, 177, 350, 415, 500, 515 base, 350 ω-equivalent D0L systems, 520 HDOL systems, 164 one-sided shift, 43 orbit, 388 equivalent, 368 strongly, 368 of a word, 43 order genealogical, 24 lexicographic, 24, 342 radix, 24 unit, 365, 366 ...

We study the Perron-Frobenius operator P of closed dynamical systems and certain open dynamical systems. We prove that the presence of a large positive eigenvalue ρ of P guarantees the existence of a 2-partition of the phase space for which the escape rates of the open systems defined on the two partition sets are both slower than − log ρ. The open systems with slow escape rates are easily iden...

Exploring long-term implications of valuation leads us to recover and use a distorted probability measure that reflects the long-term implications for risk pricing. This measure is typically distinct from the physical and the risk neutral measures that are well known in mathematical finance. We apply a generalized version of Perron-Frobenius theory to construct this probability measure and pres...

This paper presents an analytical model for downlink rate allocation in Code Division Multiple Access (CDMA) mobile networks. By discretizing the coverage area into small segments, the transmit power requirements are characterized via a matrix representation that separates user and system characteristics. We obtain a closed-form analytical expression for the so-called Perron-Frobenius eigenvalu...

This paper models and analyses downlink power assignment feasibility in Code Division Multiple Access (CDMA) mobile networks. By discretizing the area into small segments, the power requirements are characterized via a matrix representation that separates user and system characteristics. We obtain a closed-form analytical expression of the so-called Perron-Frobenius eigenvalue of that matrix, w...

In the present paper the Renormalization Group (RG) method is adopted as a tool for a constructive analysis of the properties of the Frobenius-Perron Operator. The renormalization group reduction of a generic symplectic map in the case, where the unperturbed rotation frequency of the map is far from structural resonances driven by the kick perturbation has been performed in detail. It is furthe...