7 papers
On the Sylvester waves in partition function
Boris Y. Rubinstein
Sylvester showed that the partition function can be written as a sum of the polynomial term and quasiperiodic components called the Sylvester waves. Recently an explicit expression…
A New Class of Relations for Homogeneous Symmetric Polynomials
Boris Y. Rubinstein
Recently we introduced a new class of relations for Bernoulli symmetric polynomials. This manuscript shows that these relations are valid for arbitrary homogeneous symmetric polyno…
Continuous Recovery of Phase from Single Interferogram
V. Berejnov, B. Y. Rubinstein
A new method for phase recovery from a single two-beam interferogram is presented. Conventional approaches, relying on trigonometric inversion followed by phase unfolding and unwra…
A new direct method of continuous unwrapping phase from a single interferogram
V. Berejnov, B. Y. Rubinstein
A new method recovers the phase difference of interfering wavefronts from a pattern of interference fringes, avoiding the phase discontinuity problem. The method relies on the nume…
A direct method of continuous unwrapping the phase from an interferogram image
V. Berejnov, B. Y. Rubinstein
A new method recovers phase difference of interfering wavefronts from a pattern of interference fringes, avoiding discontinuity problem. The continuous phase is a solution of the f…
It's a super deal -- train recurrent network on noisy data and get smooth prediction free
Boris Rubinstein
Recent research demonstrate that prediction of time series by predictive recurrent neural networks based on the noisy input generates a smooth anticipated trajectory. We examine in…
Tools for Nonlinear Analysis: I. Unfolding of Dynamical Systems
L. M. Pismen, B. Y. Rubinstein
Automated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on Mathematica pro…