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AVERAGING OF HAMILTONIAN FLOWS WITH AN ERGODIC COMPONENT
ERGODIC COMPONENT Unperturbed flow
2015/9/29
We consider a process on T2, which consists of fast motion along the
stream lines of an incompressible periodic vector field perturbed by white
noise. It gives rise to a process on the graph n...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Proper affine actions and geodesic flows of hyperbolic surfaces
hyperbolic surfaces geodesic fl ows
2015/9/29
Let €0 O.2; 1/ be a Schottky group, and let † D H
2=€0 be the corresponding
hyperbolic surface. Let C.†/ denote the space of unit length geodesic currents
on †. The cohom...
Nonlinear Stochastic Perturbations of Dynamical Systems and Quasi-linear Parabolic PDE’s with a Small Parameter
Quasi linear parabolic equations parameters quasi linear initial boundary value
2015/9/28
In this paper we describe the asymptotic behavior, in the exponential time scale, of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time beh...
Metastability for Non-Linear Random Perturbations of Dynamical Systems
Quasi linear parabolic equation the small parameter the second order items
2015/9/28
In this paper we describe the long time behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding di@...
AN INVESTIGATION INTO IMAGE ORIENTATION USING LINEAR FEATURES
Exterior orientation parameters (EOP) Linear features Collinearity equations
2015/9/28
At present all commercially available digital photogrammetric software products are utilizing points to solve the
problem of image orientation. Photogrammetry based on linear features is still at th...
Averaging principle for quasi-linear parabolic PDE’s and related diffusion processes
Quasi linear disturbance two dimensional flow parabola and small parameter
2015/9/28
Quasi-linear perturbations of a two-dimensional flow with a first integral and the corresponding parabolic PDE’s with a small parameter at the second order derivatives are considered in th...
AN INTEGRABLE DEFORMATION OF AN ELLIPSE OF SMALL ECCENTRICITY IS AN ELLIPSE
INTEGRABLE DEFORMATION ELLIPSE OF SMALL ECCENTRICITY ELLIPSE
2015/9/25
The classical Birkhoff conjecture says that the only integrable convexdomains are circles and ellipses. In the paper we show that a version of this conjecture is true for small perturbations of ellips...
Pattern Formation in a Parametrically-Excited P.D.E.
Pattern Formation Parametrically-Excited P.D.E.
2015/8/27
By varying the parameters c and δ we obtain bifurcation curves which divide the cδ-plane into more than forty regions,each containing a distinct slow flow. Individual regions are found to differ from ...
Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Partial difference equation Non-linear Cardiac dynamics Singular perturbation method Spatial bifurcations
2015/8/27
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
UNIFORMLY ELLIPTIC OPERATORS ON RIEMANNIAN MANIFOLDS
RIEMANNIAN MANIFOLDS ELLIPTIC OPERATORS
2015/8/26
Given a Riemannian manifold (M, g), we study the solutions of heat
equations associated with second order differential operators in divergence
form that are uniformly elliptic with respect to g . Ty...
Nonlinear Dynamics and Chaos: Where do we go from here?
Dynamics and Chaos Colston conference
2015/8/25
In keeping with the spirit of the Colston conference on Nonlinear Dynam-
ics and Chaos, this chapter emphasizes ideas more than details, describing
my vision of how the bifurcation theory of multipl...
Universality in Polytope Phase Transitions and Message Passing Algorithms
Nonlinear mapping symmetric random matrix spin glass theory approximate messaging algorithm
2015/8/21
We consider a class of nonlinear mappings FA;N in RN indexed by symmetric random matrices A 2 RNN with independent entries. Within spin glass theory, special cases of these mappings correspond to ite...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
We propose a method with better predictions at extreme values than
the standard method of Kriging. We construct our predictor in two ways:
by penalizing the mean squared error through conditional bi...