Abstract: In this paper, the controllability result of impulsive neutral stochastic functional differential equations with finite delay and fractional Brownian motion in a Hilbert space is studied. By ...
The discovery that these two apparently unrelated branches of physics are in some sense mathematically equivalent has led to a new subject known as probabilistic ...
Simulation of a particle in a 2D Lennard-Jones gas for studying brownian motion, the Langevin equation, and non-equilibrium fluctuation-dissipation relations. Langevin simulation for studying first ...
This repository contains implementations of the Euler and Milstein discretization methods used to simulate paths of geometric Brownian motion (GBM). GBM is a stochastic process commonly used to model ...
particularly equations that model vibrating objects. More precisely, I study eigenvalue problems that seek to describe the vibrational frequencies of various drums and plates. I also investigate ...
Our model is based on DeMarzo and Fishman (2003), except that the agent's cash flows are given by a Brownian motion with drift in continuous time ... calculus similar to Sannikov (2003), we ...