Search results for "Skinning"

showing 4 items of 4 documents

Explicit Measure Computations for Simplicial Trees and Graphs of Groups

2019

In this chapter, we compute skinning measures and Bowen{Margulis measures for some highly symmetric simplicial trees X endowed with a nonelementary discrete subgroup Г of Aut(X).

CombinatoricsMathematics::Group TheorySkinningMathematics::Dynamical SystemsDiscrete groupComputationMeasure (mathematics)Mathematics
researchProduct

Mitomycininduziertes hämolytisch-urämisches Syndrom

2003

HISTORY AND CLINICAL FINDINGS A 58-year-old patient suffered from rapidly progressing renal insufficiency and 11 kg weight-loss three months after adjuvant treatment of a carcinoma of the lower bowel (G 2 T 3 N 1 M 0 ) with mitomycine C. At the point of hospitalisation the patient was anuric while suffering from pulmonary oedema, hemolytic anemia and thrombocytopenia. INVESTIGATIONS Computed tomography and bronchial endoscopy showed pulmonary haemorrhage. Recurrence of carcinoma or metastases were excluded. Renal biopsy revealed mesangiolysis and concentric intimaproliferation (onion skinning). Beside haemolytic anaemia and fragmentocytes toxic damage of the bone marrow was found. TREATMENT…

Hemolytic anemiaChemotherapymedicine.medical_specialtymedicine.diagnostic_testbusiness.industrymedicine.medical_treatmentGeneral Medicinemedicine.diseaseIntensive care unitGastroenterologylaw.inventionmedicine.anatomical_structurelawInternal medicineToxicitymedicineCarcinomaOnion skinningBone marrowRenal biopsybusinessDMW - Deutsche Medizinische Wochenschrift
researchProduct

Counting common perpendicular arcs in negative curvature

2013

Let $D^-$ and $D^+$ be properly immersed closed locally convex subsets of a Riemannian manifold with pinched negative sectional curvature. Using mixing properties of the geodesic flow, we give an asymptotic formula as $t\to+\infty$ for the number of common perpendiculars of length at most $t$ from $D^-$ to $D^+$, counted with multiplicities, and we prove the equidistribution in the outer and inner unit normal bundles of $D^-$ and $D^+$ of the tangent vectors at the endpoints of the common perpendiculars. When the manifold is compact with exponential decay of correlations or arithmetic with finite volume, we give an error term for the asymptotic. As an application, we give an asymptotic form…

Mathematics - Differential GeometryGeneral Mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]37D40 37A25 53C22 30F4001 natural sciencesDomain (mathematical analysis)Bowen-Margulis measurecommon perpendicularequidistributiondecay of correlation0502 economics and businessortholength spectrummixingAsymptotic formulaSectional curvatureTangent vectorMathematics - Dynamical Systems0101 mathematicsExponential decayskinning measurelaskeminenMathematicsconvexityApplied Mathematicsta111010102 general mathematics05 social sciencesMathematical analysisRegular polygonnegative curvatureRiemannian manifoldGibbs measureManifoldKleinian groups[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]countingMathematics::Differential Geometrygeodesic arc050203 business & management
researchProduct

Skinning Measures with Potential on CAT(–1) Spaces

2019

In this chapter, we introduce skinning measures as weighted pushforwards of the Patterson{Sullivan densities associated with a potential to the unit normal bundles of convex subsets of a CAT(–1) space.

body regionsCombinatoricsSkinningRegular polygonSpace (mathematics)Unit (ring theory)Mathematics
researchProduct