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Let $B$ be a bialgebra, and $A$ a left $B$-comodule algebra in a braided monoidal category $\Cc$, and assume that $A$ is also a coalgebra, with a not-necessarily associative or unital left $B$-action...
Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibers
cylindrical elastic structure identical fibers
2010/11/23
We describe the asymptotic behaviour of a cylindrical elastic body, reinforced along identical $\epsilon$-periodically distributed fibers of size $r_{\epsilon}$, with $0 < r_{\epsilon} < \epsilon$, fi...
Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation
Analysis of PDEs (math.AP) Mathematical Physics (math-ph) Optimization and Control (math.OC) Pattern Formation and Solitons (nlin.PS)
2010/11/11
Consider a system governed by the time-dependent Schr\"odinger equation in its ground state. When subjected to weak (size $\epsilon$) parametric forcing by an "ionizing field" (time-varying), the stat...
Decay of Resonance Structure and Trapping Effect in Potential Scattering Problem of Self-Focusing Wave Packet
Quantum Gases (cond-mat.quant-gas) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Potential scattering problems governed by the time dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have t...
The lattice structure of connection preserving deformations for q-Painleve equations I
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We wish to explore a link between the Lax integrability of the q-Painleve equations and the symmetries of the q-Painleve equations. To do this, we consider the set of associated linear problems for th...
Building on recent work by Rippon and Stallard, we explore the intricate structure of the spider's web fast escaping sets associated with certain transcendental entire functions. Our results are expr...
On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
Askey-Wilson densities polynomials complex parameters
2010/11/11
We give equivalent forms of Askey-Wilson (AW) polynomials expressing them with a help of Al-Salam-Chihara polynomials. After restricting parameters of AW polynomials to complex conjugate pairs we giv...
On the structure of ($-\beta$)-integers
structure math
2010/11/12
The $(-\beta)$-integers are natural generalisations of the $\beta$-integers, and thus of the integers, for negative real bases. When $\beta$ is a $(-\beta)$-number, which is the analogue of a Parry nu...
On the canonical structure of regular pencil of singular matrix-functions
singular matrix-functions math
2010/11/15
The work is devoted to investigation of the canonical structure of regular, in domain of definition ${\cal U}\subseteq {\mathbb R}^{m}$, the pencil of matrix-functions $A(x)+\lambda B(x)$. It is supp...
Effects of spatial structure and diffusion on the performances of the chemostat
spatial structure the chemostat
2010/11/22
Given hydric capacity and nutrient flow of a chemostat-like system, we analyse the influence of a spatial structure on the output concentrations at steady-state. Three configurations are compared: pe...
Homotopes of Symmetric Spaces II. Structure Variety and Classification
Homotopes of Symmetric Spaces II Structure
2010/11/19
We classify homotopes of classical symmetric spaces (studied in Part I of this work). Our classification uses the fibered structure of homotopes: they are fibered as symmetric spaces, with flat fibers...
The structure of a the C*-algebra of a locally injective surjection
the C*-algebra locally injective surjection
2010/11/9
We obtain a description of the C*-algebras which can occur as a simple quotient of the C*-algebra of a locally injective surjection on a compact metric space of finite covering dimension.
The theme of the first two sections, is to prepare the framework of how from a "complicated" family of index models I in K_1 we build many and/or complicated structures in a class K_2. The index model...
Multifractal structure of Bernoulli convolutions
Multifractal structure Bernoulli convolutions
2010/11/15
Let $\nu_\lambda^p$ be the distribution of the random series $\sum_{n=1}^\infty i_n \lambda^n$, where $i_n$ is a sequence of i.i.d. random variables taking the values 0,1 with probabilities $p,1-p$. T...
On the structure of (co-Frobenius) Hopf algebras
the structure co-Frobenius Hopf algebras
2010/11/22
We introduce a new filtration on Hopf algebras, the standard filtration, generalizing the coradical filtration. Its zeroth term, called the Hopf coradical, is the subalgebra generated by the coradica...