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Homeomorphism Groups of Self-Similar 2-Manifolds
The class of self-similar 2-manifolds consists of manifolds exhibiting a type of homogeneity akin to the 2-sphere and the Cantor set, and includes...
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Criterion for the Existence of an Energy Function for a Regular Homeomorphism of the 3-Sphere
AbstractC. Conley’s fundamental theorem of the theory of dynamical systems states that every dynamical system, even a nonsmooth one (i.e., a...
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Compactifications of Homeomorphism Groups of Linearly Ordered Compacta
AbstractTopological groups of transformations are studied (their structure and equivariant compactifications) on which the pointwise convergence...
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Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of...
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Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps
Given a hyperbolic homeomorphism on a compact metric space, consider the space of linear cocycles over this base dynamics which are Hölder continuous...
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Geometry of Linear Algebras
In this paper, we consider spaces whose geometry is generated by a homogeneous function of degree m ≥ 2, which is invariant under the action of some...
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On divergence-type linear and quasi-linear equations in the complex plane
This is a survey of our recent results concerning divergence-type linear and quasi-linear equations in the complex plane. It contains a number of...
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Surjectivity of linear operators and semialgebraic global diffeomorphisms
We prove that a C ∞ semialgebraic local diffeomorphism of ℝ n with non-properness set having codimension greater than or equal to 2 is a global...
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Linear canonical wavelet transform and linear canonical wave packet transform on the Schwartz type spaces
In this paper, we enlarge the domain of the linear canonical wavelet transform and linear canonical wave packet transform to generalized functions....
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On the Linear Dilatation of the Map**s Satisfying an Inverse Poletsky Modular Inequality in Metric Spaces
We study the linear dilatation of the map**s satisfying an inverse Poletsky inequality in metric spaces. We also show that under certain conditions...
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Linear Cellular Automata
In this chapter we study linear cellular automata, namely cellular automata whose alphabet is a vector space and which are linear with respect to the...
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Second order linear differential equations with a basis of solutions having only real zeros
Let A be a transcendental entire function of finite order. We show that, if the differential equation w ″ + Aw = 0 has two linearly independent...
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On Partially Hyperbolic Diffeomorphisms and Regular Denjoy Type Homeomorphisms
In P. D. McSwiggen’s article, it was proposed Derived from Anosov type construction which leads to a partially hyperbolic diffeomorphism of the...
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Semisymmetric Horizontal Lifts of Linear Connections from the Base to the Bundle of Doubly Covariant Tensors
In this paper, we obtain necessary and sufficient conditions under which the horizontal lift of a linear connection in the bundle of doubly covariant...