Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-016-9502-z
Abstract: We construct a bijective continuous area preserving map from a class of elongated dipyramids to the sphere, together with its inverse. Then we investigate for which such solid polyhedrons the area preserving map can be… read more here.
Keywords: class; preserving maps; area preserving; volume preserving ... See more keywords
Diameter preserving maps on function spaces
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DOI: 10.1007/s11117-016-0438-9
Abstract: In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators. We provide an example which… read more here.
Keywords: maps function; diameter preserving; preserving maps; function spaces ... See more keywords
Hilbert isometries and maximal deviation preserving maps on JB-algebras
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.06.027
Abstract: In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation, the quantum analogue of the standard deviation, which plays an… read more here.
Keywords: isometries maximal; deviation; preserving maps; deviation preserving ... See more keywords
Birkhoff averages and rotational invariant circles for area-preserving maps
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132569
Abstract: Abstract Rotational invariant circles of area-preserving maps are an important and well-studied example of KAM tori. John Greene conjectured that the locally most robust rotational circles have rotation numbers that are noble, i.e., have continued… read more here.
Keywords: area preserving; preserving maps; invariant circles; rotational invariant ... See more keywords
Wecken property for coincidences of boundary-preserving maps between surfaces
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107556
Abstract: Abstract We study the Wecken property for coincidences in the setting of boundary-preserving maps between surfaces with nonempty boundary. We consider the situation where the domain surface has non-negative Euler characteristic and obtain boundary Wecken… read more here.
Keywords: boundary preserving; property coincidences; maps surfaces; preserving maps ... See more keywords
Diffusion and drift in volume-preserving maps
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DOI: 10.1134/s1560354717060089
Abstract: A nearly-integrable dynamical system has a natural formulation in terms of actions, y (nearly constant), and angles, x (nearly rigidly rotating with frequency Ω(y)).We study angleaction maps that are close to symplectic and have a… read more here.
Keywords: drift; diffusion drift; volume preserving; preserving maps ... See more keywords
Records and Occupation Time Statistics for Area-Preserving Maps
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DOI: 10.3390/e25020269
Abstract: A relevant problem in dynamics is to characterize how deterministic systems may exhibit features typically associated with stochastic processes. A widely studied example is the study of (normal or anomalous) transport properties for deterministic systems… read more here.
Keywords: time; preserving maps; area preserving; occupation time ... See more keywords