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Discretization Error in Simulation of One-dimensional Reflecting Brownian Motion
Discretization Error Simulation One-dimensional Reflecting Brownian Motion
2015/7/8
This paper is concerned with various aspects of the simulation of one-dimensional reflected (or regulated) Brownian motion. The main result shows that the discretization error associated with the Eule...
Solitons in one-dimensional nonlinear Schrodinger lattices with a local inhomogeneity
Flow characteristics discrete nonlinear schrodinger equation linear point defects focusing on the lattice defects
2014/12/25
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of localized solutions in a one-dimensional system described by the discrete nonlinear Schrödinger ...
Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
Signs of one-dimensional bright soliton on the contrary free space optical lattice
2014/12/24
We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their st...
Intrinsic energy localization through discrete gap breathers in one-dimensional diatomic granular crystals
Discrete space breathing apparatus a one-dimensional compression elastic bead chain Hertz diatomic chain heavy particles
2014/12/24
We present a systematic study of the existence and stability of discrete breathers that are spatially localized in the bulk of a one-dimensional chain of compressed elastic beads that interact via Her...
Discrete Breathers in One-Dimensional Diatomic Granular Crystals
The coupling instability discrete respirator dimensional diatomic granular crystal compression elastic beads Hertz contact
2014/12/24
We report the experimental observation of modulational instability and discrete breathers in a one-dimensional diatomic granular crystal composed of compressed elastic beads that interact via Hertzian...
A study of a one - dimensional bilinear differential model for stochastic processes
a one - dimensional bilinear differential model stochastic processes
2009/9/24
A study of a one - dimensional bilinear differential model for stochastic processes。
On some properties of one-dimensional diffusion processes on an interval
some properties one-dimensional diffusion processes interval
2009/9/22
Some equations are obtained for the moments of the
first passage time of a one-dimensional time-homogeneous diffusion
process, through each of two accessible boundaries cr and fl, given that
the pr...
On weak convergence of one-dimensional diffusions with time-dependent coefficients
weak convergence of one-dimensional diffusions time-dependent coefficients
2009/9/22
We investigate stability, with respect to convergence of
coefficients, of one-dimensional It6 diRussions as well as one-dimensionat
diffusions wrresponding to second order divergence form operators....
On first-passage times for one-dimensional jump-diffusion processes
Jump-diffusion process exit probability first-crossing time
2009/9/22
Some problems of first-crossing times over two time-
-dependent boundaries lor one-dimensional jump-difiusion processes
are considered. The moments of the first-crossing times over each
boundary ar...
Existence and non-existence of solutions of one-dimensional stochastic equations
Stochastic equations continuous local martingales non-existence local time
2009/9/22
We consider the one-dimensional stochastic equation
for a continuous local martingale M with square variation {M) and
measurable drift and diffusion coefficients b and F. The main purpose
of this p...
One-dimensional symmetric stable Feynman-Kac semigroups
a-stable Lbvy processes Feynman-Kac potentiat theory Kato dass Green owrators
2009/9/21
We investigate here one-dimensional Fcymm-Kac
semipaups based on syrnrr~etris E-stable processes. We begin with a-
Qblishing the properties of Green operators af intervals and bdflines on
functions...
A logarithmic Sobolev inequality for one-dimensional multivalued stochastic differential equations
A logarithmic Sobolev inequality one-dimensional multivalued stochastic differential equations
2009/9/21
We establish a logarithmic Sobolev inequality for a one-
-dimensional multivalued stochastic differential equation associated with
the subdillerential of a convex lower semicontinuous function, usin...
SOME REMARKS ON THE MAXIMUM OF A ONE-DIMENSIONAL DIFFUSION PROCESS
Diffusion process Brownian motion firstcrossing time random time-change
2009/9/18
For a certain class of one-dimensional diffusions X(t); we
study the distribution of maxt2[0;T ] X(t) and the distribution of the first instant
at whichX(t) attains the maximum by reducingX(t) to Br...
On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
Simple exclusion nearest-neighbor one dimensional tagged particle
2009/6/12
The purpose of this note is to improve this convergence to a functional central
limit theorem,with respect to the uniform topology,and so complete the solution
to a conjecture in the literature with...
On the Speed of the One-dimensional Excited Random Walk in the Transient Regime
Excited Random Walk Pertubed Random Walk Law of Large Numbers
2009/6/12
We study a class of nearest-neighbor discrete time integer random walks introduced by Zerner (2005), the so called multi-excited random walks. The jump probabilities for such random walker have a drif...