Department of Mathematics
Recent Submissions

Analytic and asymptotic properties of generalized Linnik probability densities
(Elsevier, 19980115)This paper studies the properties of the probability density function pα,ν,n(x) of the nvariate generalized Linnik distribution whose characteristic function φα,ν,n(t) is given by where {norm of matrix}t{norm of matrix} ... 
Recursion operators of some equations of hydrodynamic type
(American Institute of Physics, 200103)We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N = 2 and N = 3 containing the equations of ... 
BorelSmith functions and the Dade Group
(Elsevier, 20070515)We show that there is an exact sequence of biset functors over pgroups0 → Cb over(→, j) B* over(→, Ψ) DΩ → 0 where Cb is the biset functor for the group of BorelSmith functions, B* is the dual of the Burnside ring functor, ... 
Computer experiments to determine whether over or undercounting necessarily affects the determination of difference in cell number between experimental groups
(Elsevier, 20010330)Computer cell counting experiments were performed in order to examine the consequences of over or undercounting. The threedimensional reaggregate culture laboratory environment for cell counting was used as a model for ... 
On Smoothness of the Green Function for the Complement of a Rerefied CantorType Set
(Springer Verlag, 2011)Smoothness of the Green functions for the complement of rarefied Cantortype sets is described in terms of the function Φ(δ)=(1/log 1/δ) that gives the logarithmic measure of sets. Markov's constants of the corresponding ... 
On contractibility of th orbit space of a Gposet of Brauer pairs
(Elsevier, 19990215)Given apblockbof a finite groupG, we show that theGposet of Brauer pairs strictly containing (1,b) has contractibleGorbit space. A similar result is proved for certainGposets ofpsubgroups. Both results generalise P. ... 
The dual of the principal ideal generated by a pure pform
(Elsevier, 20020601)We observe that our methods in [J. Algebra 183 (1996) 2437] generalize to determine the dual (e.g. annihilator) of the principal ideal generated by a pure pform. © 2002 Elsevier Science (USA). All rights reserved. 
Uniqueness of Gibbs states in onedimensional antiferromagnetic model with longrange interaction
(American Institute of Physics, 199910)Uniqueness of Gibbs states in the onedimensional antiferromagnetic model with very longrange interaction is established. © 1999 American Institute of Physics. 
Backlund transformations for discrete Painleve equations: Discrete PIIPV
(Elsevier, 2006)Transformation properties of discrete Painleve´ equations are investigated by using an algorithmic method. This method yields explicit transformations which relates the solutions of discrete Painleve´ equations, discrete ... 
Essential cohomology for elementary abelian pgroups
(Elsevier, 200912)For an odd prime p the cohomology ring of an elementary abelian pgroup is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the class generating the top exterior power. As ... 
On the classification of Darboux integrable chains
(American Institute of Physics, 2008)We study differentialdifference equation (d/dx) t (n+1,x) =f (t (n,x),t (n+1,x), (d/dx) t (n,x)) with unknown t (n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Darboux integrable, ... 
Pauli algebraic forms of normal and nonnormal operators
(Optical Society of America, 2007)A unified treatment of the Pauli algebraic forms of the linear operators defined on a unitary linear space of two dimensions over the field of complex numbers C1 is given. The Pauli expansions of the normal and nonnormal ... 
Easily monitored entagled state
(American Institute of Physics, 20021223)We discuss the generation and monitoring of durable atomic entangled state via Ramantype process, which can be used in the quantum information processing. (C) 2002 American Institute Of Physics. 
Carleson Measures for Besov Spaces on the Ball with Applications
(Elsevier, 20070915)Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are characterized in terms of Berezin transforms and Bergmanmetric balls. The measures are defined via natural imbeddings of Besov spaces ... 
Bockstein closed 2group extensions and cohomology of quadratic maps
(Elsevier, 20120501)A central extension of the form E: 0 → V→ G→ W→ 0, where V and W are elementary abelian 2groups, is called Bockstein closed if the components qi∈H *(W,F 2) of the extension class of E generate an ideal which is closed ... 
On Nilpotent ideals in the cohomology ring of a finite group
(Elsevier, 200309)In this paper we "nd upper bounds for the nilpotency degree of some ideals in the cohomology ring of a "nite group by studying "xed point free actions of the group on suitable spaces. The ideals we study are the kernels ... 
Quantum and classical integrable sineGordon model with defect
(Elsevier, 20080601)Defects which are predominant in a realistic model, usually spoil its integrability or solvability. We on the other hand show the exact integrability of a known sineGordon field model with a defect (DSG), at the classical ... 
Kortewegde Vries surfaces
(Elsevier, 201401)We consider 2surfaces arising from the Kortewegde Vries (KdV) hierarchy and the KdV equation. The surfaces corresponding to the KdV equation are in a threedimensional Minkowski (M3) space. They contain a family of ... 
Separating Invariants for the Klein Four Group and Cyclic Groups
(World Scientific Publishing, 20130611)We consider indecomposable representations of the Klein four group over a field of characteristic 2 and of a cyclic group of order pm with p, m coprime over a field of characteristic p. For each representation, we explicitly ... 
LienardWiechert Potentials in Even Dimensions
(American Institute of Physics, 200310)The motion of point charged particles is considered in an even dimensional Minkowski space  time. The potential functions corresponding to the massless scalar and the Maxwell fields are derived algorithmically. It is shown ...