Search results for "MSC"

showing 10 items of 261 documents

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

2017

Ghys and Sergiescu proved in the $80$s that Thompson's group $T$, and hence $F$, admits actions by $C^{\infty}$ diffeomorphisms of the circle . They proved that the standard actions of these groups are topologically conjugate to a group of $C^\infty$ diffeomorphisms. Monod defined a family of groups of piecewise projective homeomorphisms, and Lodha-Moore defined finitely presentable groups of piecewise projective homeomorphisms. These groups are of particular interest because they are nonamenable and contain no free subgroup. In contrast to the result of Ghys-Sergiescu, we prove that the groups of Monod and Lodha-Moore are not topologically conjugate to a group of $C^1$ diffeomorphisms. Fur…

Pure mathematicsMathematics::Dynamical Systems[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Group Theory (math.GR)Dynamical Systems (math.DS)Fixed pointPSL01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]57M60Homothetic transformationMathematics::Group Theorypiecewise-projective homeomorphisms0103 physical sciencesFOS: Mathematics0101 mathematicsMathematics - Dynamical SystemsMathematics::Symplectic GeometryMathematicsreal37C85 57M60 (Primary) 43A07 37D40 37E05 (Secondary)diffeomorphismsPrimary 37C85 57M60. Secondary 43A07 37D40 37E0543A07Group (mathematics)37C8537D40010102 general mathematicsMSC (2010) : Primary: 37C85 57M60Secondary: 37D40 37E05 43A0737E0516. Peace & justiceAction (physics)hyperbolic dynamicsrigidityc-1 actionsbaumslag-solitar groupshomeomorphismslocally indicable groupPiecewiseInterval (graph theory)010307 mathematical physicsGeometry and TopologyTopological conjugacyMathematics - Group Theoryintervalgroup actions on the interval
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The Fatou coordinate for parabolic Dulac germs

2017

We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated log scale.

Pure mathematicsMonomialClass (set theory)Mathematics::Dynamical SystemsConstructive proofLogarithmTransseries[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]orbitsDulac germAsymptotic expansionDynamical Systems (math.DS)01 natural sciencesMSC: 37C05 34C07 30B10 30B12 39A06 34E05 37C10 37C1537C05 34C07 30B10 30B12 39A06 34E05 37C10 37C15Mathematics::Algebraic GeometryFOS: Mathematics0101 mathematicsMathematics - Dynamical SystemsMathematicsDulac germ ; Fatou coordinate ; Embedding in a flow ; Asymptotic expansion ; TransseriesdiffeomorphismsMathematics::Complex VariablesApplied Mathematics010102 general mathematicsFatou coordinate010101 applied mathematicsclassificationnormal formsepsilon-neighborhoodsEmbedding in a flowAsymptotic expansionAnalysis
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Entropy, Lyapunov exponents, and rigidity of group actions

2018

This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teres\'opolis, Brazil in June 2016. The course introduced a number of classical tools in smooth ergodic theory -- particularly Lyapunov exponents and metric entropy -- as tools to study rigidity properties of group actions on manifolds. We do not present comprehensive treatment of group actions or general rigidity programs. Rather, we focus on two rigidity results in higher-rank dynamics: the measure rigidity theorem for affine Anosov abelian actions on tori due to A. Katok and R. Spatzier [Ergodic Theory Dynam. Systems…

Pure mathematicsPrimary 22F05 22E40. Secondary 37D25 37C85[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Rigidity (psychology)Dynamical Systems (math.DS)Group Theory (math.GR)Mathematical proof01 natural sciencesMeasure (mathematics)[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Group action0103 physical sciencesFOS: MathematicsErgodic theoryMSC : Primary: 22F05 22E40 ; Secondary: 37D25 37C850101 mathematicsAbelian groupMathematics - Dynamical SystemsEntropy (arrow of time)Mathematics[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]010102 general mathematicsLie group010307 mathematical physicsMathematics - Group Theory
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Truncated modules and linear presentations of vector bundles

2018

We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded Artinian modules with pure resolutions. Our method allows one to produce several new examples, and provides an alternative point of view on the existing ones.

Pure mathematicsRank (linear algebra)General Mathematics[MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC]Vector bundle010103 numerical & computational mathematicsLinear presentationCommutative Algebra (math.AC)01 natural sciences[ MATH.MATH-AC ] Mathematics [math]/Commutative Algebra [math.AC]Mathematics - Algebraic GeometryComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsPoint (geometry)MSC: 13D02 16W50 15A30 14J600101 mathematicsVector bundleAlgebraic Geometry (math.AG)MathematicsMathematics::Commutative Algebra010102 general mathematicsConstruct (python library)Graded truncated moduleMathematics - Commutative AlgebraInstanton bundleCohomology[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]Matrix of co nstant rank[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]Constant (mathematics)
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Changes in the Transcriptome Profiles of Human Amnion-Derived Mesenchymal Stromal/Stem Cells Induced by Three-Dimensional Culture: A Potential Primin…

2022

Mesenchymal stromal/stem cells (MSCs) are believed to function in vivo as a homeostatic tool that shows therapeutic properties for tissue repair/regeneration. Conventionally, these cells are expanded in two-dimensional (2D) cultures, and, in that case, MSCs undergo genotypic/phenotypic changes resulting in a loss of their therapeutic capabilities. Moreover, several clinical trials using MSCs have shown controversial results with moderate/insufficient therapeutic responses. Different priming methods were tested to improve MSC effects, and three-dimensional (3D) culturing techniques were also examined. MSC spheroids display increased therapeutic properties, and, in this context, it is crucial…

QH301-705.5Cell Culture TechniquesCell SeparationRegenerative MedicineArticleCatalysisEpigenesis GeneticImmunophenotypingInorganic ChemistryHumansAmnionPhysical and Theoretical ChemistryBiology (General)Molecular BiologyQD1-999SpectroscopyCells CulturedGene Expression ProfilingOrganic ChemistryComputational BiologyRNA sequencingCell DifferentiationMesenchymal Stem CellsMolecular Sequence AnnotationGeneral MedicineMSC therapeutic propertiesComputer Science ApplicationsChemistryGene OntologyMSC spheroidsGene Expression Regulationhuman amnion-derived mesenchymal stromal/stem cells; RNA sequencing; 3D priming; MSC spheroids; MSC therapeutic properties; regenerative medicineHuman amnion-derived mesenchymal stromal/stem cells3D primingTranscriptomeBiomarkers
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Tre leggende su Gramsci

2014

Quaderni del carcerePhilosophyGramscicomunismofascismoliberalismolinguaggioSettore M-FIL/05 - Filosofia E Teoria Dei Linguaggi
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Homogeneous actions on the random graph

2018

We show that any free product of two countable groups, one of them being infinite, admits a faithful and homogeneous action on the Random Graph. We also show that a large class of HNN extensions or free products, amalgamated over a finite group, admit such an action and we extend our results to groups acting on trees. Finally, we show the ubiquity of finitely generated free dense subgroups of the automorphism group of the Random Graph whose action on it have all orbits infinite.

Random graphFinite group20B22 (primary) 20E06 20E05 05C63 54E52 (secondary)Group Theory (math.GR)Homogeneous actions16. Peace & justicegroups acting on trees[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Action (physics)CombinatoricsMathematics::Group TheoryFree productHomogeneousBaire category theoremFOS: MathematicsDiscrete Mathematics and CombinatoricsCountable setBaire category theoremfree groupsGeometry and TopologyFinitely-generated abelian groupMathematics - Group TheoryMSC: 20B22 (primary); 20E06 20E05 05C63 54E52 (secondary)random graphMathematicsGroups, Geometry, and Dynamics
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The Know-how to Apply an Appropriate Reconstruction Filtering in MSCT Coronary Angiography.

2007

Reconstruction FilteringMSCT Coronary Angiography.Settore MED/36 - Diagnostica Per Immagini E Radioterapia
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Locally nilpotent derivations of rings graded by an abelian group

2019

International audience

Russel cubic threefoldPure mathematicsAffine algebraic geometryPham-Brieskorn variety010102 general mathematics[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Locally nilpotent13A50Locally nilpotent derivation01 natural sciences[ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG]Russell cubic threefold0103 physical sciences010307 mathematical physics[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]0101 mathematicsAbelian group14R20MSC: Primary 14R20 ; Secondary 13A50ComputingMilieux_MISCELLANEOUSMathematics
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Mesenchymal and Induced Pluripotent Stem Cells-Derived Extracellular Vesicles: The New Frontier for Regenerative Medicine?

2020

Regenerative medicine aims to repair damaged, tissues or organs for the treatment of various diseases, which have been poorly managed with conventional drugs and medical procedures. To date, multimodal regenerative methods include transplant of healthy organs, tissues, or cells, body stimulation to activate a self-healing response in damaged tissues, as well as the combined use of cells and bio-degradable scaffold to obtain functional tissues. Certainly, stem cells are promising tools in regenerative medicine due to their ability to induce de novo tissue formation and/or promote organ repair and regeneration. Currently, several studies have shown that the beneficial stem cell effects, espec…

ScaffoldInduced Pluripotent Stem Cellsregenerative medicineStimulationReviewBiologyRegenerative medicineExtracellular VesiclesParacrine signallingstem cellsAnimalsHumansInduced pluripotent stem celllcsh:QH301-705.5mesenchymal stem cells (MSCs)Regeneration (biology)Mesenchymal stem cellBiological TransportMesenchymal Stem CellsGeneral MedicineCell biologylcsh:Biology (General)induced pluripotent stem cells (iPSCs)extracellular vesicleStem cellStem Cell TransplantationCells
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