1,428 research outputs found

    Performance analysis of a profile management scheme for incall registration/deregistration in wireline UPT networks - Part II: Timer-based scheme

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    A timer-based scheme is proposed to manage information within terminal and service profiles for both incall registration/deregistration of UPT users and incall registration resets of terminal owners. In the timer-based scheme, information related to incall registration for a UPT user in a terminal profile is deleted due to a timer expiration without accessing the terminal profile. The performance of the timer-based scheme is compared with the previously proposed request-based scheme in terms of 1) total cost and, 2) the number of terminal profile accesses per unit time for a terminal. Even though provision of the timer-based scheme requires the modification of incoming call delivery procedure, the timer-based scheme can reduce both the total cost and the number of terminal profile accesses compared to the previously proposed request-based scheme

    Feeling Numbers: KP Brehmer and the Supermarket

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    A publication that documents the presentation of To refuse/To wait/To sleep and M&A beginning on January 12, 2017, and continuing until complete. Jamie Hilder contributes an essay about KP Brehmer.final article publishe

    Polynomial tau-functions of the KP, BKP, and the s -component KP hierarchies

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    © 2021 Author(s). We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero-mode of an appropriate combinatorial generating function. As an application, we obtain explicit formulas for all polynomial tau-functions of these hierarchies in terms of Schur polynomials and Q-Schur polynomials, respectively. We also obtain formulas for polynomial tau-functions of the reductions of the s-component KP hierarchy associated with partitions in s parts

    The KP equation of plane elastodynamics

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    The propagation of nonlinear and dispersive waves in various materials can be described by the well-known Kadomtsev–Petviashvili (KP) equation, which is a (2 + 1)-dimensional partial differential equation. In this paper, we show that the KP equation can be used to describe the in-plane motion of compressible elastic solids with dispersion. Furthermore, a modified KP equation with cubic nonlinearity is obtained in the case of incompressible solids with dispersion. Then, several solutions of these partial differential equations are discussed and computed using a Fourier spectral method. In particular, both equations admit solitary wave solutions.The work of the first author was supported by the European Union’s Horizon 2020 research and innovation programme grant TBI-WAVES - H2020-MSCA-IF-2020 project 101023950. The work of the third author was partially supported by the PRIN research project ‘The mathematics and mechanics of nonlinear wave propagation in solids’ grant 2022P5–R22A and by GNFM of Istituto Nazionale di Alta Matematica (INDAM).peer-reviewe

    From Toda hierarchy to KP hierarchy

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    Using the matrix-resolvent method and a formula of the second-named author on the nn-point function for a KP tau-function, we show that the tau-function of an arbitrary solution to the Toda lattice hierarchy is a KP tau-function. We then generalize this result to tau-functions for the extended Toda hierarchy (ETH) by developing the matrix-resolvent method for the ETH. As an example the partition function of Gromov--Witten invariants of the complex projective line is a KP tau-function, and an application on irreducible representations of the symmetric group is obtained.Comment: 30 page
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