Results 1 to 10 of about 17,220,730 (291)

Bessel Process and Conformal Quantum Mechanics [PDF]

, 2009
Different aspects of the connection between the Bessel process and the conformal quantum mechanics (CQM) are discussed. The meaning of the possible generalizations of both models is investigated with respect to the other model, including self adjoint ...
M. A. Rajabpour
semanticscholar   +4 more sources

Sharp Estimates of Transition Probability Density for Bessel Process in Half-Line [PDF]

, 2015
In this paper we study the Bessel process Rt(μ)$R_{t}^{(\mu )}$ with index μ ≠ 0 starting from x > 0 and killed when it reaches a positive level a, where x > a > 0. We provide sharp estimates of the transition probability density pa(μ)(t,x,y)$p_{a}^{(\mu
Kamil Bogus, Jacek Małecki
openalex   +3 more sources

Dual-control of incubation effect for efficiently fabricating surface structures in fused silica [PDF]

Nanophotonics
Fused silica with surface structures has potential applications in microfluidic, aerospace and other fields. To fabricate structures with high dimensional accuracy and surface quality is of paramount importance.
Wang Zhi, Xiang Zhikun, Li Xiaowei, Wu Mengnan, Yi Peng, Zhang Chao, Yan Yihao, Li Xibiao, Zhang Xiangyu, Wang Andong, Huang Lingling   +10 more
doaj   +2 more sources

Bessel Beam Dielectrics Cutting with Femtosecond Laser in GHz-Burst Mode

Micromachines, 2023
We report, for the first time to the best of our knowledge, Bessel beam dielectrics cutting with a femtosecond laser in GHz-burst mode. The non-diffractive beam shaping is based on the use of an axicon and allows for cutting glasses up to 1 mm thickness ...
Pierre Balage, Théo Guilberteau, Manon Lafargue, Guillaume Bonamis, Clemens Hönninger, John Lopez, Inka Manek-Hönninger   +6 more
doaj   +2 more sources

Multilevel Spiral Axicon for High-Order Bessel–Gauss Beams Generation

Nanomaterials, 2023
This paper presents an efficient method to generate high-order Bessel–Gauss beams carrying orbital angular momentum (OAM) by using a thin and compact optical element such as a multilevel spiral axicon.
Rebeca Tudor, George Andrei Bulzan, Mihai Kusko, Cristian Kusko, Viorel Avramescu, Dan Vasilache, Raluca Gavrila   +6 more
doaj   +2 more sources

Exit times densities of Bessel process [PDF]

, 2015
We examine the density functions of the first exit times of the Bessel process from the intervals [0,1) and (0,1). First, we express them by means of the transition density function of the killed process.
Grzegorz Serafin
openalex   +3 more sources

Evolution of C-point singularities and polarization coverage of Poincaré–Bessel beam in self-healing process [PDF]

Scientific Reports
As 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, Anupam Pal, Arash Shiri, G. K. Samanta, Greg Gbur   +4 more
doaj   +2 more sources

Transient nearest neighbor random walk and Bessel process

, 2008
We prove a strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times.
Endre Csáki, Antónia Földes, Pál Révész   +2 more
openalex   +3 more sources

An Analytical Formula for the Transition Density of a Conic Combination of Independent Squared Bessel Processes with Time-Dependent Dimensions and Financial Applications

Mathematics
The squared Bessel process plays a central role in stochastic analysis, with broad applications in mathematical finance, physics, and probability theory.
Nopporn Thamrongrat, Chhaunny Chhum, Sanae Rujivan, Boualem Djehiche   +3 more
doaj   +2 more sources

Changes of measure and representations of the first hitting time of a Bessel process

, 2011
. In this work we relate systems of coupled backward and forward Kolmogorov equations. These in turn are used to derive changes of measure and/or dual representations of SDEs.
Gerardo Hernández‐del‐Valle
openalex   +3 more sources