A critical phenomenon in solitonic Ising chains.
Loutsenko, Igor M., Spiridonov, Vyacheslav P. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Jon Aaronson, Mariusz Lemańczyk, Dalibor Volný (1998)
Fundamenta Mathematicae
We study the centraliser of locally compact group extensions of ergodic probability preserving transformations. New methods establishing ergodicity of group extensions are introduced, and new examples of squashable and non-coalescent group extensions are constructed.
Boyarski, Abraham, Góra, Pawełl (2004)
Journal of Applied Mathematics and Stochastic Analysis
Simon Thomas (2015)
Journal of the European Mathematical Society
In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if and are countable amenable non-type I groups, then the unitary duals of and are Borel isomorphic.
Malcolm, W.P., Elliott, R.J., van der Hoek, J. (2004)
Journal of Applied Mathematics and Stochastic Analysis
Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Jean-Baptiste Pomet (1995)
Banach Center Publications
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
Mike Boyle, Doris Fiebig, U-R. Fiebig (1997)
Journal für die reine und angewandte Mathematik
L. Chierchia, C. Falcolini (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Zhang, Wei-Bin (2009)
Discrete Dynamics in Nature and Society
Kundu, K. (2005)
International Journal of Mathematics and Mathematical Sciences
Nedorezov, L.V., Utyupin, Yu.V. (2003)
Sibirskij Matematicheskij Zhurnal
Fedorov, Yuri N. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Forti, G.L., Paganoni, L. (1998)
Mathematica Pannonica
Assaf, Sami, Chen, Li-Chung, Cheslack-Postava, Tegan, Cooper, Benjamin, Diesl, Alexander, Garrity, Thomas, Lepinski, Mathew, Schuyle, Adam (2005)
Integers
Dobrescu, L.I., Neamţu, M., Ciurdariu, A.L., Opriş, D. (2009)
Discrete Dynamics in Nature and Society
Everest, Graham, Ward, Thomas (1998)
Experimental Mathematics
Paul Blanchard, Daniel Cuzzocreo, Robert L. Devaney, Elizabeth Fitzgibbon, Stefano Silvestri (2014)
Fundamenta Mathematicae
For the family of rational maps zⁿ + λ/zⁿ where n ≥ 3, it is known that there are infinitely many small copies of the Mandelbrot set that are buried in the parameter plane, i.e., they do not extend to the outer boundary of this set. For parameters lying in the main cardioids of these Mandelbrot sets, the corresponding Julia sets are always Sierpiński curves, and so they are all homeomorphic to one another. However, it is known that only those cardioids that are symmetrically located in the parameter...
Brian Justin Stout (2014)
Acta Arithmetica
Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.
И. Г. Корепанов (1994)
Zapiski naucnych seminarov POMI