Choosing a publication venue for an academic paper is crucial step in the research process. However, many cases, decisions are based solely on experience of researchers, which often leads to suboptimal results. Although there exist recommender systems papers, they recommend venues where expected be published. In this study, we aim from different perspective. We estimate number citations will re...

existence of periodic solutions for non-linear third order autonomous differential equation (o.d.e.) has not been investigated to as large an extent as non-linear second order. the popular poincare-bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). this conclusion opens a way for further investigation.

For every n, we construct a metric measure space that is doubling, satisfies a Poincare inequality in the sense of HeinonenKoskela, has topological dimension n, and has a measurable tangent bundle of dimension 1.

The Lindstedt-Poincare technique in perturbation theory can be turned into a quadratically convergent algorithm for computing periodic orbits of differential equations. Most of the computational work is done in solving linear systems of the form ż(τ) =A(τ)z+g(τ), A(τ)2Rd;d , z2Rd , g(τ)2Rd , where A(τ) and g(τ) are 2π periodic. The method given here for solving such linear systems, while not th...

This paper presents a convenient graphical tool for encoding visual patterns (such as image patches and image atoms) as point constellations in a space spanned by perceptual features and with a clear geometrical interpretation. General theory and a practical pattern encoding scheme are presented, inspired by encoding polarization states of a light wave on the Poincaré sphere. This new pattern e...

Anders Björner characterized which finite graded partially ordered sets arise as the closure relation on cells of a finite regular CW complex. His characterization of these “CW posets” required each open interval (0̂, u) to have order complex homeomorphic to a sphere of dimension rk(u)− 2. Work of Danaraj and Klee showed that sufficient conditions were for the poset to be thin and shellable. The...

In the pattern matching approach to imaging science, the process of “metamorphosis” is template matching with dynamical templates (Trouvé and Younes, Found. Comp. Math., 2005). Here, we recast the metamorphosis equations of that paper into the Euler-Poincaré variational framework of Holm, Marsden, and Ratiu, Adv. in Math., 1998 and show that the metamorphosis equations contain the equations for...

Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.