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Some properties of skew-symmetric distributions     properties  skew-symmetric distributions       font style='font-size:12px;'> 2011/1/4
The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some simp...
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2-step nilpotent pseu...
The general solution to the field equations of fluid saturated incompressible porous medium for two dimensional axi-symmetric problem is obtained due to time harmonic ring and disc loads by applying H...
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value problem for Eins...
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value problem for Eins...
We study Fourier multipliers resulting from martingale transforms of general L´evy processes.
Some properties of skew-symmetric distributions      central symmetry  log-concavity  peakedness  quasi-concavity       font style='font-size:12px;'> 2011/2/24
The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some sim...
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external, symmetric potential which vanishes at infinity and supports a linear bound state. We prove that the symm...
Relative symmetric polynomials and money change problem      Money change problem  Partitions of integers       font style='font-size:12px;'> 2011/1/21
This article is devoted to the number of non-negative solu-tions of the linear Diophantine equation a1t1 + a2t2 + · · · antn = d,
The symmetric group S3 acts on S 2 × S 2 × S 2 by coordinate permutation, and the quotient space (S 2×S 2×S 2)/S3 is homeomorphic to the complex projective space CP 3.In this paper.
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
We de ne a family of ideals Ih in the polynomial ring Z[x1; x2; : : : ; xn] that are parametrized by Hessenberg functions h (equivalently Dyck paths or ample partitions). The ideals Ih generalize al...
CPT-symmetric discrete square well     CPT-symmetric  discrete square well       font style='font-size:12px;'> 2010/12/27
A new version of an elementary PT-symmetric square well quantum model is proposed in which a certain Hermiticity-violating end-point interaction leaves the spectrum real in a large domain of couplings...
Symmetric Criticality in Classical Field Theory     Symmetric Criticality  Classical Field Theory       font style='font-size:12px;'> 2010/12/27
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmet...
PT-symmetric quantum state discrimination     PT-symmetric  quantum state discrimination       font style='font-size:12px;'> 2010/12/23
Suppose that a system is known to be in one of two quantum states, $|\psi_1 > $ or $|\psi_2 >$. If these states are not orthogonal, then in conventional quantum mechanics it is impossible with one mea...

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