Results 31 to 40 of about 3,135,129 (143)

Dynamic SNR, Spectral Efficiency, and Rate Characterization in 5G/6G mmWave/sub-THz Systems with Macro- and Micro-Mobilities

Future Internet
The performance of 5G/6G cellular systems operating in millimeter wave (mmWave, 30–100 GHz) and sub-terahertz (sub-THz, 100–300 GHz) bands is conventionally assessed by utilizing the static distributions of user locations.
Darya Ostrikova, Elizaveta Golos, Vitalii Beschastnyi, Egor Machnev, Yuliya Gaidamaka, Konstantin Samouylov   +5 more
doaj   +1 more source

Renormalization Group and Probability Theory

, 2000
The renormalization group has played an important role in the physics of the second half of the twentieth century both as a conceptual and a calculational tool.
Beccaria, Benettin, Benfatto, Bleher, Bleher, Bleher, Brezin, Brydges, Brydges, Cassandro, Cassandro, Cassandro, Collet, De Angelis, Di Castro, Di Castro, Dobrushin, Fisher, G. Jona-Lasinio, Gallavotti, Gallavotti, Hegerfeldt, Ibragimov, Jona-Lasinio, Jona-Lasinio, Jona-Lasinio, Jona-Lasinio, Jona-Lasinio, Kadanoff, Khinchin, Linnik, Mitter, Mitter, Oseledec, Sinai, Sinai, Wilson, Wilson, Wilson   +38 more
core   +1 more source

Parameter estimation in mixed fractional stochastic heat equation

Modern Stochastics: Theory and Applications, 2023
The paper is devoted to a stochastic heat equation with a mixed fractional Brownian noise. We investigate the covariance structure, stationarity, upper bounds and asymptotic behavior of the solution.
Diana Avetisian, Kostiantyn Ralchenko
doaj   +1 more source

Probability theory and its models

, 2008
This paper argues for the status of formal probability theory as a mathematical, rather than a scientific, theory. David Freedman and Philip Stark's concept of model based probabilities is examined and is used as a bridge between the formal theory and ...
Humphreys, Paul
core   +1 more source

Accurate Approximation for Resource Queuing Systems with Losses and Signals

Mathematics
We consider a queuing system with a finite number of servers and a finite pool of resources, where an arriving customer requires a server and random number of resources.
Alexander Maslov, Eduard Sopin, Konstantin Samouylov   +2 more
doaj   +1 more source

Analytical and Computational Problems Related to Fractional Gaussian Noise

Fractal and Fractional, 2022
We study the projection of an element of fractional Gaussian noise onto its neighbouring elements. We prove some analytic results for the coefficients of this projection. In particular, we obtain recurrence relations for them.
Yuliya Mishura, Kostiantyn Ralchenko, René L. Schilling   +2 more
doaj   +1 more source

Orthogonal polynomial ensembles in probability theory

, 2004
We survey a number of models from physics, statistical mechanics, probability theory and combinatorics, which are each described in terms of an orthogonal polynomial ensemble.
Koenig, Wolfgang
core   +4 more sources

On the Calibration of the Kennedy Model

Mathematics
The Kennedy model offers a robust framework for modeling forward rates, leveraging Gaussian random fields to accommodate emerging phenomena such as negative rates.
Dalma Tóth-Lakits, Miklós Arató
doaj   +1 more source

Cones in homotopy probability theory [PDF]

, 2014
This note defines cones in homotopy probability theory and demonstrates that a cone over a space is a reasonable replacement for the space. The homotopy Gaussian distribution in one variable is revisited as a cone on the ordinary Gaussian.Comment: 8 ...
Drummond-Cole, Gabriel C., Terilla, John
core  

Peak Age of Information Analysis in Systems with Multiple Time-Correlated Traffic Streams

Sensors
Nowadays, Internet of Things (IoT) is one of the most dynamically evolving services in the 5G ecosystem. In industrial IoT (IIoT), this service can be utilized to deliver state updates of various equipment to the remote control center for further ...
Varvara Manaeva, Elena Zhbankova, Ekaterina Markova, Konstantin Samouylov   +3 more
doaj   +1 more source