26 citations · 28 across the 7 of their papers we have counts for
9 papers
Holomorphic functions on complex Banach lattices
Christopher Boyd, Raymond A. Ryan, Nina Snigireva
We introduce and study the algebraic, analytic and lattice properties of regular homogeneous polynomials and holomorphic functions on complex Banach lattices. We show that the theo…
Strongly-Fibred Iterated Function Systems and the Barnsley--Vince triangle
Krzysztof Leśniak, Nina Snigireva, Filip Strobin
We review the theory of semiattractors associated with non-contractive Iterated Function Systems (IFSs) and demonstrate its applications on a concrete example. In particular, we pr…
Transition Phenomena for the Attractor of an Iterated Function System
Krzysztof Leśniak, Nina Snigireva, Filip Strobin +1
Iterated function systems (IFSs) and their attractors have been central to the theory of fractal geometry almost from its inception. And contractivity of the functions in the IFS h…
Orthogonally Additive Sums of Powers of Linear Functionals
Christopher Boyd, Raymond Ryan, Nina Snigireva
Let be a Banach lattice, non-zero scalars and pairwise independent linear functionals on . We show that if then $\sum_{j=1}^k…
A Nakano Carrier Theorem for Polynomials
Christopher Boyd, Raymond A. Ryan, Nina Snigireva
We use a localisation technique to study orthogonally additive polynomials on Banach lattices. We derive alternative characterisations for orthogonal additivity of polynomials and…
Weakly contractive iterated function systems and beyond: A manual
Krzysztof Leśniak, Nina Snigireva, Filip Strobin
We give a systematic account of iterated function systems (IFS) of weak contractions of different types (Browder, Rakotch, topological). We show that the existence of attractors an…
Geometry of Spaces of Orthogonally Additive Polynomials on C(K)
Christopher Boyd, Raymond A. Ryan, Nina Snigireva
We study the space of orthogonally additive -homogeneous polynomials on . There are two natural norms on this space. First, there is the usual supremum norm of uniform con…
Perturbative and nonperturbative correlations in double parton distributions
A. M. Snigirev, N. A. Snigireva, G. M. Zinovjev
We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large…
Embedding the symbolic dynamics of Lorenz maps
Tony Samuel, Nina Snigireva, Andrew Vince
Necessary and sufficient conditions for the symbolic dynamics of a Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an…