Results 1 to 10 of about 17,710,470 (300)
Evolution of C-point singularities and polarization coverage of Poincaré–Bessel beam in self-healing process [PDF]
Scientific ReportsAs a vector version of scalar Bessel beams, Poincaré–Bessel beams (PBBs) have attracted a great deal of attention due to their non-diffracting and self-healing properties as well as the presence of polarization singularities.
Subith Kumar +4 more
doaj +3 more sources
Fractionally integrated Bessel process [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021 We consider a fractionally integrated Bessel process defined by Y s δ , H = ∫
Georgiy Shevchenko, Dmytro Zatula
openaire +3 more sources
Integrable equations associated with the finite‐temperature deformation of the discrete Bessel point process [PDF]
Journal of the London Mathematical Society, 2023 We study the finite‐temperature deformation of the discrete Bessel point process. We show that its largest particle distribution satisfies a reduction of the 2D Toda equation, as well as a discrete version of the integro‐differential Painlevé II equation
Mattia Cafasso, Giulio Ruzza
openalex +3 more sources
Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III. The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures [PDF]
, 2016 In the third paper of the series we complete the proof of our main result: a description of the ergodic decomposition of infinite Pickrell measures. We first prove that the scaling limit of the determinantal measures corresponding to the radial parts of ...
Alexander I. Bufetov
openalex +3 more sources
Noncolliding Squared Bessel Processes [PDF]
Journal of Statistical Physics, 2011 We consider a particle system of the squared Bessel processes with index $ > -1$ conditioned never to collide with each other, in which if $-1 < < 0$ the origin is assumed to be reflecting. When the number of particles is finite, we prove for any fixed initial configuration that this noncolliding diffusion process is determinantal in the ...
Makoto Katori, Hideki Tanemura
openalex +4 more sources
Hitting Times of Bessel Processes [PDF]
Potential Analysis, 2012 Let $T_1^{( )}$ be the first hitting time of the point 1 by the Bessel process with index $ \in \R$ starting from $x>1$. Using an integral formula for the density $q_x^{( )}(t)$ of $T_1^{( )}$, obtained in Byczkowski, Ryznar (Studia Math., 173(1):19-38, 2006), we prove sharp estimates of the density of $T_1^{( )}$ which exibit the dependence ...
T. Byczkowski +2 more
openalex +4 more sources
Bessel-like birth–death process [PDF]
Physica A: Statistical Mechanics and its Applications, 2020 We consider models of the population or opinion dynamics which result in the non-linear stochastic differential equations (SDEs) exhibiting the spurious long-range memory. In this context, the correspondence between the description of the birth-death processes as the continuous-time Markov chains and the continuous SDEs is of high importance for the ...
Gontis, V., Kononovicius, A.
openaire +4 more sources
Light: Science and Applications, 2023 Bessel beam featured with self-healing is essential to the optical sensing applications in the obstacle scattering environment. Integrated on-chip generation of the Bessel beam outperforms the conventional structure by small size, robustness, and ...
Zihao Zhi +9 more
exaly +2 more sources
Strong Approximation of Bessel Processes
Methodology and Computing in Applied Probability, 2023 We consider the path approximation of Bessel processes and develop a new and efficient algorithm. This study is based on a recent work by the authors, on the path approximation of the Brownian motion, and on the construction of specific own techniques. It is part of the family of the so-called $\varepsilon$-strong approximations.
Mädälina Deaconu, Samuel Herrmann
openalex +6 more sources
Micromachines, 2023 Dicing is a critical step in the manufacturing process for the application of sapphire. In this work, the dependence of sapphire dicing on crystal orientation using picosecond Bessel laser beam drilling combined with mechanical cleavage was studied.
Qiuling Wen +4 more
doaj +2 more sources