Search results for "7c"

showing 3 items of 43 documents

Chlorine isotope composition of volcanic rocks and gases at Stromboli volcano (Aeolian Islands, Italy): Inferences on magmatic degassing prior to 201…

2017

Abstract Among the magmatic volatiles, chlorine (Cl) is degassed at shallow depths offering the opportunity to investigate the behavior of magmatic degassing close to the surface, and the possible occurrence of chemical and isotopic fractionation related to gas/melt partitioning. However, it is still unclear if the isotopic composition of Cl (δ 37 Cl) can be used as a proxy of magmatic degassing. In this work, we investigate the concentrations of chlorine and sulfur, and the Cl isotope composition of rocks and plume gases collected at Stromboli volcano, Aeolian Islands, Italy. This volcano was chosen because it is characterized by persistent eruptive activity (i.e., Strombolian explosions) …

geographygeography.geographical_feature_category010504 meteorology & atmospheric sciencesIsotopes of chlorineGeochemistry010502 geochemistry & geophysics01 natural sciencesδ37ClMantle (geology)Strombolian eruptionPlumePlume gaseVolcanic rockGeophysicsEffusive eruptionVolcanoImpact craterGeochemistry and PetrologyStromboliChlorineGeology0105 earth and related environmental sciences
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Ledrappier-Young formula and exact dimensionality of self-affine measures

2017

In this paper, we solve the long standing open problem on exact dimensionality of self-affine measures on the plane. We show that every self-affine measure on the plane is exact dimensional regardless of the choice of the defining iterated function system. In higher dimensions, under certain assumptions, we prove that self-affine and quasi self-affine measures are exact dimensional. In both cases, the measures satisfy the Ledrappier-Young formula. peerReviewed

local dimensionPlane (geometry)General MathematicsOpen problem010102 general mathematicsMathematical analysista111Dynamical Systems (math.DS)01 natural sciencesMeasure (mathematics)self-affine set010101 applied mathematicsIterated function systemself-affine measureHausdorff dimension37C45 28A80FOS: MathematicsApplied mathematicsAffine transformation0101 mathematicsMathematics - Dynamical Systemshausdorff dimensionMathematicsCurse of dimensionality
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Towards a global view of dynamical systems, for the C1-topology.

2010

This paper suggests a program for getting a global view of the dynamics of diffeomorphisms, from the point of view of the C1-topology. More precisely, given any compact manifold M, one splits Diff1(M) in disjoint C1-open regions whose union is C1-dense, and conjectures state that these open set, and their complement, are characterized by the presence of • either a robust local phenomenon • or a global structure forbiding this local phenomenon. Other conjectures states that some of these regions are empty. This set of conjectures draws a global view of the dynamics, putting in evidence the coherence of the numerous recent results on C1-generic dynamics.

robust propertiesDiffeomorphisms[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]hyperbolic structuresMSC 37C 37D
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