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Under natural assumptions a Feller type diffusion approximation is derived for critical multi-type branching processes with immigration when the offspring mean matrix is primitive (in other words, pos...
Quantum States for Primitive Ontologists: A Case Study     mechanics  ontology  Quantum States       font style='font-size:12px;'> 2011/9/7
Under so-called primitive ontology approaches, in fully describing the history of a quantum system, one thereby attributes interesting properties to regions of spacetime. Primitive ontology approaches...
Abstract: We consider the triples of integer numbers that are solutions of the equation $x^2+qy^2=z^2$, where $q$ is a fixed, square-free arbitrary positive integer. The set of equivalence classes of ...
Rough ends of infinite primitive groups      Rough ends  infinite primitive groups        font style='font-size:12px;'> 2011/1/17
Abstract. If G is a group of permutations of a set , then the suborbits of G are the orbits of point-stabilisers G acting on .The cardinalities of these suborbits are the subdegrees of G. Every infin...
A new set of nonlocal boundary conditions are proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numeri...
Primitive algebraic algebras of polynomially bounded growth     algebras  polynomially bounded growth       font style='font-size:12px;'> 2010/11/23
We show that if $k$ is a countable field, then there exists a finitely generated, infinite-dimensional, primitive algebraic $k$-algebra $A$ whose Gelfand-Kirillov dimension is at most six. In additio...
A remark on primitive cycles and the Radon transform     primitive cycles  the Radon transform       font style='font-size:12px;'> 2010/11/17
We show that the use of Brylinski's Radon transform elucidates some points of the Green-Griffiths approach to the Hodge conjecture.
Primitive sets with large counting functions      Primitive sets  large counting functions        font style='font-size:12px;'> 2010/11/30
A set of positive integers is said to be primitive if no element of the set is a multiple of another. If S is a primitive set and S(x) is the number of elements of S not exceeding x, then a result of...
We construct a sequence of primitive-stable representations of free groups into PSL2(C) whose ranks go to in nity, but whose images are discrete with quotient manifolds that converge geometrically to ...
Let (bn) = (b1, b2, . . . ) be a sequence of integers. A primitive prime divisor of a term bk is a prime which divides bk but does not divide any of the previous terms of the sequence. A zero orbit of...
Primitive orthogonal idempotents for R-trivial monoids      orthogonal idempotents  R-trivial monoids        font style='font-size:12px;'> 2010/12/13
We show that the notions of R-trivial monoid and weakly ordered monoid are equivalent. We use this fact to construct a complete system of orthogonal idempotents for all R-trivial monoids.
We establish conditions necessary for the n-th element of any elliptic divisibility sequence generated by points on Ea : y2 = x3+ax to not have a primitive divisor. As a consequence of this, along wit...
The aim of this paper is to study the representation theory of quantum Schu-bert cells. Let g be a simple complex Lie algebra. To each element w of the Weyl group W of g, De Concini, Kac and Procesi h...
We study the set of all pseudoline arrangements with contact points which cover a given support. We de ne a notion of ip which transforms a pseudoline arrangement with contact points into another one...
We prove analogues of some of Kostant’s theorems for in-finitesimal Cherednik algebras of gln. As a consequence, it follows that in positive characteristic the Azumaya and smooth loci of the center of...

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