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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 ...
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...
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...
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
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...
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....
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...
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...
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...
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...
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...
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...
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...
We consider a transient one-dimensional random walk X_n in random environment having zero asymptotic speed. For a class of non-i.i.d. environments we show that log X_n / log n converges in probability...

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