Martingale; Brownian Motion; Ito Itegral; Derivation of Moments; Phase Noise - Articles

A Novel Method with Martingale Theory for Phase Noise Analysis in Coherent Optical Communication (Articles)

Chengle Sui, Qiangmin Wang, Shilin Xiao, Pingqing Li

Optics and Photonics Journal Vol.3 No.2B, July 19, 2013

DOI: 10.4236/opj.2013.32B041 3,806 Downloads 5,544 Views Citations
Ito’s Formula for the Discrete-Time Quantum Walk in Two Dimensions (Articles)

Clement Ampadu

Journal of Quantum Information Science Vol.2 No.2, June 22, 2012

DOI: 10.4236/jqis.2012.22008 4,136 Downloads 8,177 Views Citations
Description of Incomplete Financial Markets for Time Evolution of Risk Assets (Articles)

Nicholas S. Gonchar

Advances in Pure Mathematics Vol.9 No.6, June 30, 2019

DOI: 10.4236/apm.2019.96029 817 Downloads 1,871 Views Citations
Portfolio Selection in Mean-Minimum Return Level-Expected Bounded First Passage Time Framework (Articles)

Tsotne Kutalia

Journal of Mathematical Finance Vol.9 No.3, June 20, 2019

DOI: 10.4236/jmf.2019.93012 793 Downloads 1,939 Views Citations
A Generalization of the Clark-Ocone Formula (Articles)

Mahmmoud Salih, Sulieman Jomah

Journal of Applied Mathematics and Physics Vol.6 No.7, July 19, 2018

DOI: 10.4236/jamp.2018.67121 703 Downloads 2,027 Views Citations
When to Sell an Asset Where Its Drift Drops from a High Value to a Smaller One (Articles)

Pham Van Khanh

American Journal of Operations Research Vol.5 No.6, November 11, 2015

DOI: 10.4236/ajor.2015.56040 4,583 Downloads 5,539 Views Citations
Hydrodynamic Interactions Introduce Differences in the Behaviour of a Ratchet Dimer Brownian Motor (Articles)

José A. Fornés

Journal of Biomaterials and Nanobiotechnology Vol.6 No.2, March 12, 2015

DOI: 10.4236/jbnb.2015.62008 5,025 Downloads 6,015 Views Citations
Stochastic Ito-Calculus and Numerical Approximations for Asset Price Forecasting in the Nigerian Stock Market (Articles)

Thomas Chinwe Urama, Patrick Oseloka Ezepue

Journal of Mathematical Finance Vol.8 No.4, November 12, 2018

DOI: 10.4236/jmf.2018.84041 2,476 Downloads 4,644 Views Citations
This article belongs to the Special Issue on Stochastic Methods and Finance
Brownian Motion in Parabolic Space (Articles)

Takahisa Okino

Journal of Modern Physics Vol.3 No.3, March 28, 2012

DOI: 10.4236/jmp.2012.33034 4,948 Downloads 10,032 Views Citations
Is the Driving Force of a Continuous Process a Brownian Motion or Fractional Brownian Motion? (Articles)

Xinbing Kong, Bingyi Jing, Cuixia Li

Journal of Mathematical Finance Vol.3 No.4, November 15, 2013

DOI: 10.4236/jmf.2013.34048 3,331 Downloads 6,069 Views Citations
A Dynamic Cournot Model with Brownian Motion (Articles)

Hyungho Youn, Victor J. Tremblay

Theoretical Economics Letters Vol.5 No.1, February 3, 2015

DOI: 10.4236/tel.2015.51009 3,348 Downloads 4,639 Views Citations
Mathematical Modeling in Heavy Traffic Queuing Systems (Articles)

Sulaiman Sani, Onkabetse A. Daman

American Journal of Operations Research Vol.4 No.6, November 17, 2014

DOI: 10.4236/ajor.2014.46033 5,835 Downloads 8,337 Views Citations
Macroscopic anisotropic Brownian motion is related to the directional movement of a “Universe field” (Articles)

Jiapei Dai

Natural Science Vol.6 No.2, February 19, 2014

DOI: 10.4236/ns.2014.62009 5,133 Downloads 7,052 Views Citations
Dirichlet Brownian Motions (Articles)

Hafedh Faires

Open Journal of Statistics Vol.4 No.11, December 29, 2014

DOI: 10.4236/ojs.2014.411085 2,793 Downloads 3,705 Views Citations
A Mathematical Model Reveals That Both Randomness and Periodicity Are Essential for Sustainable Fluctuations in Stock Prices (Articles)

Motohisa Osaka

Applied Mathematics Vol.10 No.6, June 17, 2019

DOI: 10.4236/am.2019.106028 869 Downloads 3,500 Views Citations
A Simple Model for the Calculation of Diffusion Coefficient in a Periodic Potential (Articles)

Chunhui Zhang, Zhanwu Bai

Journal of Modern Physics Vol.12 No.2, January 21, 2021

DOI: 10.4236/jmp.2021.122009 599 Downloads 1,928 Views Citations
Asset Pricing and Simulation Analysis Based on the New Mixture Gaussian Processes (Articles)

Bo Peng

Journal of Applied Mathematics and Physics Vol.11 No.8, August 24, 2023

DOI: 10.4236/jamp.2023.118153 187 Downloads 748 Views Citations
Real Options Adoption with Poisson Price, Quantity, and Policy Uncertainty Jumps (Articles)

Chong (Andrea) Zhao, Gregory Colson, Hazel Wetzstein, Michael Wetzstein

Theoretical Economics Letters Vol.13 No.6, December 22, 2023

DOI: 10.4236/tel.2023.136087 194 Downloads 645 Views Citations
Financial Modeling with Geometric Brownian Motion (Articles)

Chelsea Peng, Colette Simon

Open Journal of Business and Management Vol.12 No.2, March 28, 2024

DOI: 10.4236/ojbm.2024.122065 487 Downloads 4,284 Views Citations
Survival Model Inference Using Functions of Brownian Motion (Articles)

John O’Quigley

Applied Mathematics Vol.3 No.6, June 27, 2012

DOI: 10.4236/am.2012.36098 3,964 Downloads 7,129 Views Citations

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