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Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives
Affine Bodies Revisited Constraints Symmetry
2011/2/25
The purpose of this publication is to derive and discuss equations of mo-tion of affinely rigid (homogeneously deformable) body moving in Eu-clidean space of general dimension n. Our aim is to present...
On hitting times of affine boundaries by reflecting Brownian motion and Bessel processes
Reflecting Brownian motion Bessel process hitting time linear boundary
2011/1/20
Firstly, we compute the distribution function for the hitting time of a linear time-dependent boundary t 7→ a + bt, a ≥ 0, b ∈ R, by a reflecting Brownian motion.
Infinitely transitive actions on real affine suspensions
Infinite transitive action real algebraic variety suspension
2011/1/19
A group G acts infinitely transitively on a set Y if for every positive integer m, its
action is m-transitive on Y . Given a real affine algebraic variety Y of dimension greater than
or equal to 2, ...
Bounding reflection length in an affine Coxeter group
reflection length affine Coxeter group
2010/12/13
In any Coxeter group, the conjugates of elements in
the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called it...
Optimal anisotropic three-phase conducting composites: Plane problem
multimaterial composites optimal microstructures bounds for effective properties
2010/12/7
The paper establishes tight lower bound for effective conductivity tensor K∗ of two-imensional
three-phase conducting anisotropic composites and defines optimal microstructures. It is assumed t...
Recent developments in ergodic theory, additive combinatorics, higher order Fourier analysis and number theory give a central role to a class of algebraic structures called nilmanifolds.
On affine motions and bar frameworks in general position
Bar frameworks universal rigidity stress matrices points in general position
2010/12/8
A configuration p in r-dimensional Euclidean space is a finite collection of points (p1, . . . , pn) that affinely span Rr. A bar framework, denoted by G(p), in Rr is a simple graph G on n vertices to...
Edge-intersection graphs of grid paths: the bend-number
Edge-intersection graphs of grid paths bend-number
2010/12/6
We investigate edge-intersection graphs of paths in the plane grid re-garding a parameter called the bend-number. The bend-number is related to the interval-number and the track-number of a graph.
Uniformization of Sierpiński carpets in the plane
Uniformization of Sierpiński carpets plane
2010/12/9
Let Si, i ∈ I, be a countable collection of Jordan curves in the extended complex plane bC that bound pairwise disjoint closed Jordan regions. If the Jordan curves are uniform quasicircles and are uni...
A "hybrid plane" with spin-orbit interaction and magnetic field
"hybrid plane" with spin-orbit interaction magnetic field
2010/12/13
We discuss spectral and resonance properties of a Hamiltonian describing motion of an electron moving on a \hybrid surface" consisting on a hal ine attached by its endpoints to a plane under in uence ...
On intersection lattices of hyperplane arrangements generated by generic points
discriminantal arrangements M¨obius function characteristic polyno-mial enumeration of elements
2010/12/8
We consider hyperplane arrangements generated by generic points and study their intersection lattices. These arrangements are known to be equivalent to discriminantal arrangements. We show a fundament...
Lifting, restricting and sifting integral points on affine homogeneous varieties
integral points affine homogeneous varieties
2010/12/13
In [GN2] an effective solution of the lattice point counting problem in general domains in semisimple S-algebraic groups and affine symmetric varieties was established. The method relies on the mean e...
Let G be a plane graph and T an even subset of its vertices. It has been conjectured that if all T-cuts of G have the same parity and the size of every T-cut is at least k, then G contains k edge-disj...
Evolution of plane curves with a curvature adjusted tangential velocity
curvature driven flow of plane curves curvature adjusted tangential velocity
2010/12/6
We study evolution of closed embedded plane curves with the normal veloc-ity depending on the curvature, the orientation and position of a curve. We propose a new method of tangential redistribution o...
Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs
Berenstein-Zelevinsky data affine type $A$
2010/12/10
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type A. Moreover,by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part o...