930 citations
- Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineUA13 papers
- National Academy of Sciences of UkraineUA10 papers
- Institute of PhysicsPL6 papers
- Polish Academy of SciencesPL6 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Lviv UniversityUA5 papers
- Princeton UniversityUS5 papers
- University of WarsawPL5 papers
- Sandia National LaboratoriesUS4 papers
- Université de LorraineFR4 papers
- University of FreiburgDE4 papers
- University of SalzburgAT4 papers
87 papers
Dynamical cascade generation as basic mechanism of Benjamin-Feir instability
Elena Kartashova, Igor V. Shugan
A novel model of discretized energy cascade generated by Benjamin-Feir instability is presented. Conditions for appearance of direct and inverse cascades are given explicitly, as w…
A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations
Manuel Kauers, Carsten Schneider
We continue to investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation. In an earlier ar…
A story of high-temperature ferromagnetism in semiconductors
Alberta Bonanni, Tomasz Dietl
The comprehensive search for multifunctional materials has resulted in the discovery of semiconductors and oxides showing ferromagnetic features persisting to room temperature. In…
The computational challenge of enumerating high-dimensional rook walks
Manuel Kauers, Doron Zeilberger
We provide guessed recurrence equations for the counting sequences of rook paths on d-dimensional chess boards starting at (0..0) and ending at (n..n), where d=2,3,...,12. Our recu…
Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane
Ekaterina Shemyakova
Parametric factorizations of linear partial operators on the plane are considered for operators of orders two, three and four. The operators are assumed to have a completely factor…
Star copolymers in porous environments: scaling and its manifestations
Viktoria Blavatska, Christian von Ferber, Yurij Holovatch
We consider star polymers, consisting of two different polymer species, in a solvent subject to quenched correlated structural obstacles. We assume that the disorder is correlated…