Information Geometry of Spatially Periodic Stochastic Systems
We explore the effect of different spatially periodic, deterministic forces on the information geometry of stochastic processes. The three forces considered are f 0 = sin ( π x ) / π and f ± = sin ( π x ) / π
Rainer Hollerbach, Eun-jin Kim
doaj +1 more source
Stochastic quantization on Lorentzian manifolds
We embed Nelson’s theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative theory of quantum mechanics on (pseudo-)Riemannian manifolds.
Folkert Kuipers
doaj +1 more source
Local Strict Comparison Theorem and Converse Comparison Theorems for Reflected Backward Stochastic Differential Equations [PDF]
A local strict comparison theorem and some converse comparison theorems are proved for reflected backward stochastic differential equations under suitable conditions.
arxiv +1 more source
Modeling, Analysis, and Optimization of Grant-Free NOMA in Massive MTC via Stochastic Geometry [PDF]
In the massive machine-type communications (mMTCs) scenario for Internet-of-Things (IoTs) applications, though a large number of devices are registered to an access point (AP), very few of them are active with uplink short packet transmission ...
Jiaqi Liu+4 more
semanticscholar +1 more source
Geometric thermodynamics for the Fokker–Planck equation: stochastic thermodynamic links between information geometry and optimal transport [PDF]
We propose a geometric theory of non-equilibrium thermodynamics, namely geometric thermodynamics, using our recent developments of differential-geometric aspects of entropy production rate in non-equilibrium thermodynamics.
Sosuke Ito
semanticscholar +1 more source
Jamik Sumenep Mosque, a heritage site of the Sumenep Kingdom, was built to emphasize the acculturation of Chinese, Islamic, and Madurese cultures. This ethnomathematics research aims to reveal and explore the fractal geometry forms in the gateway of ...
Muhammad Zia Alghar, Marhayati Marhayati
doaj +1 more source
Stochastic geometry to generalize the Mondrian Process [PDF]
The Mondrian process is a stochastic process that produces a recursive partition of space with random axis-aligned cuts. Random forests and Laplace kernel approximations built from the Mondrian process have led to efficient online learning methods and ...
Eliza O'Reilly, N. Tran
semanticscholar +1 more source
Dimensioning of 5G Networks by Using Stochastic Geometry
In this paper, we propose an analytical model for dimensioning of Orthogonal Frequency Division Multiple Access (OFDMA) systems in 5G networks by considering Internet of Thing (IoT) application using stochastic geometry.
Siminfar Samakoush Galougah+1 more
doaj
Stochastic Geometry Analysis of Large Intelligent Surface-Assisted Millimeter Wave Networks
Reliable and efficient networks are the trend for next-generation wireless communications. Recent improved hardware technologies – known as Large Intelligent Surfaces (LISs) – have decreased the energy consumption of wireless networks, while ...
Yongxu Zhu, G. Zheng, Kai‐Kit Wong
semanticscholar +1 more source
A tractable closed form approximation of the ergodic rate in Poisson cellular networks
The employment of stochastic geometry for the analysis and design of ultra dense networks (UDNs) has provided significant insights into network densification.
Alexis I. Aravanis+4 more
doaj +1 more source