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arXiv.orge-PrintarchiveChangetoarXiv'sprivacypolicyThearXivPrivacyPolicyhaschanged.Bycontinuingtousearxiv.org,youarereeingtotheprivacypolicy.IUnderstandSkiptomaincontentWegratefullyacknowledgesupportfromtheSimonsFoundation,memberinstitutions,andallcontributors.DonateLoginHelp|AdvancedSearchAllfieldsTitleAuthorAbstractCommentsJournalreferenceACMclassificationMSCclassificationReportnumberarXividentifierDOIORCIDarXivauthorIDHelppesFulltextSearchopensearchGOopennigationmenuquicklinksLoginHelpPesAboutarXivisafreedistributionserviceandanopen-accessarchivefornearly2.4millionscholarlyarticlesinthefieldsofphysics,mathematics,computerscience,quantitativebiology,quantitativefinance,statistics,electricalengineeringandsystemsscience,andeconomics.Materialsonthissitearenotpeer-reviewedbyarXiv.Subjectsearchandbrowse:PhysicsMathematicsQuantitativeBiologyComputerScienceQuantitativeFinanceStatisticsElectricalEngineeringandSystemsScienceEconomics//catchupnolonghostedfrommultidocument.getElementById('catchup-btn').addEventListener('click',function(event){document.querySelector('form[name="home-adv-search"]').action="/catchup";});functiondoAdvSearchBtn(event){sel=document.querySelector('select[name="group"]')if(sel&&sel.options&&sel.options[sel.selectedIndex].dataset.url){data_url=sel.options[sel.selectedIndex].dataset.urlif(data_url){window.location=data_url;}else{console.error('homepesearchbutton:nodata_urlfoundforsearch');}}}document.addEventListener('DOMContentLoaded',function(){document.getElementById('adv-search-btn').onclick=doAdvSearchBtn;},false);PhysicsAstrophysics(astro-phnew,recent,search)AstrophysicsofGalaxies;CosmologyandNongalacticAstrophysics;EarthandPlanetaryAstrophysics;HighEnergyAstrophysicalPhenomena;InstrumentationandMethodsforAstrophysics;SolarandStellarAstrophysicsCondensedMatter(cond-matnew,recent,search)DisorderedSystemsandNeuralNetworks;MaterialsScience;MesoscaleandNanoscalePhysics;OtherCondensedMatter;QuantumGases;SoftCondensedMatter;StatisticalMechanics;StronglyCorrelatedElectrons;SuperconductivityGeneralRelativityandQuantumCosmology(gr-qcnew,recent,search)HighEnergyPhysics-Experiment(hep-exnew,recent,search)HighEnergyPhysics-Lattice(hep-latnew,recent,search)HighEnergyPhysics-Phenomenology(hep-phnew,recent,search)HighEnergyPhysics-Theory(hep-thnew,recent,search)MathematicalPhysics(math-phnew,recent,search)NonlinearSciences(nlinnew,recent,search)includes:AdaptationandSelf-OrganizingSystems;CellularAutomataandLatticeGases;ChaoticDynamics;ExactlySolvableandIntegrableSystems;PatternFormationandSolitonsNuclearExperiment(nucl-exnew,recent,search)NuclearTheory(nucl-thnew,recent,search)Physics(physicsnew,recent,search)includes:AcceleratorPhysics;AppliedPhysics;AtmosphericandOceanicPhysics;AtomicandMolecularClusters;AtomicPhysics;BiologicalPhysics;ChemicalPhysics;ClassicalPhysics;ComputationalPhysics;DataAnalysis,StatisticsandProbability;FluidDynamics;GeneralPhysics;Geophysics;HistoryandPhilosophyofPhysics;IarXiv.org 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