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We study theoretical aspects of step fluctuations on vicinal surfaces by adding conservative white noise to the Burton-Cabrera-Frank model in one spatial dimension. We consider material deposition fro...
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
We study the abelian sandpile growth model, where n particles are added at the origin on a stable background configuration in Zd. Any site with at least 2d particles then topples by sending one partic...
Rajasthan is the biggest State of India and is currently in the second phase of demographic transition and is moving towards the third phase of demographic transition with very slow pace.
We show exponential growth of torsion numbers for links whose first nonzero Alexander polynomial has positive logarithmic Mahler measure. This extends a theorem of Silver ndWilliams to the case of a ...
Let G denote a closed, connected, self adjoint, noncompact subgroup of GL(n,R), and let dR and dL denote respectively the right and left invariant Riemannian metrics defined by the canonical inner pr...
When groups compete for members, the resulting dynamics of human social activity may be un- derstandable with simple mathematical models. Here, we apply techniques from dynamical systems and perturb...
We will show that the cotangent bundle of an integrally hyperbolic manifold is not symplectomorphic to any smooth affine variety. We will also show that the unit cotangent bundle of such a manifold is...
We evaluate the stability analysis results obtained by two different ways: the neoclassical Solow model and the DSSM. We conclude that the most important advantage achieved with the construction of th...
This paper generalizes the model introduced by Cai in [5], where the Cass-Koopmans optimal growth model has been extended to allow for endogenous fertility choice. A sufficient condition for the exi...
Many questions in macroeconomics lead to random discrete dynamical systems yt+1 = wi(yt) where the map wi is contractive and it is chosen in a given set with probability pi. The aim of this paper is...
Many questions in macroeconomics lead to random discrete dynamical systems yt+1 = wi(yt) where the map wi is contractive and it is chosen in a given set with probability pi. The aim of this paper is...
This paper generalizes the model introduced by Cai in [5], where the Cass-Koopmans optimal growth model has been extended to allow for endogenous fertility choice. A sufficient condition for the exi...
In an endogenous growth model with marginal product of cap- ital minus population growth rate monotonically decreasing in capital, we show that the economy has a unique balanced growth path (BGP) eq...

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