МОДЕЛИРОВАНИЕ ТЕЛЕКОММУНИКАЦИОННОГО ТРАФИКА С ИСПОЛЬЗОВАНИЕМ СТОХАСТИЧЕСКИХ МУЛЬТИФРАКТАЛЬНЫХ КАСКАДНЫХ ПРОЦЕССОВ

In the work the simulation of telecommunications traffic has been examined, which has multifractal properties, based on a mathematical model of the stochastic multiplicative cascade, the weights of which are beta probability distribution.Анотаці

A Local Universe Host for the Repeating Fast Radio Burst FRB 20181030A

We report on the host association of FRB 20181030A, a repeating fast radio burst (FRB) with a low dispersion measure (DM, 103.5 pc cm$^{-3}$) discovered by CHIME/FRB Collaboration et al. (2019a). Using baseband voltage data saved for its repeat bursts, we localize the FRB to a sky area of 5.3 sq. arcmin (90% confidence). Within the FRB localization region, we identify NGC 3252 as the most promising host, with an estimated chance coincidence probability $< 2.5 \times 10^{-3}$. Moreover, we do not find any other galaxy with M$_{r} < -15$ AB mag within the localization region to the maximum estimated FRB redshift of 0.05. This rules out a dwarf host 5 times less luminous than any FRB host discovered to date. NGC 3252 is a star-forming spiral galaxy, and at a distance of $\approx$ 20 Mpc, it is one of the closest FRB hosts discovered thus far. From our archival radio data search, we estimate a 3$\sigma$ upper limit on the luminosity of a persistent compact radio source (source size $<$ 0.3 kpc at 20 Mpc) at 3 GHz to be ${\rm 2 \times 10^{26} erg~s^{-1} Hz^{-1}}$, at least 1500 times smaller than that of the FRB 20121102A persistent radio source. We also argue that a population of young millisecond magnetars alone cannot explain the observed volumetric rate of repeating FRBs. Finally, FRB 20181030A is a promising source for constraining FRB emission models due to its proximity, and we strongly encourage its multi-wavelength follow-up.Comment: Accepted for publication in ApJ