CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '912d6bdf6e26d083',cH: 'wTaLsl5hMx0ihM6R0Uv0yEoHvdSxvpf9B4rie6iNXN8-1739707688-1.2.1.1-_Q2Q9nls5KhMrK3ySIHegWPKqc.aaFCMf5IX2CLXCUgbh0_BTDyK4SQAw17I03_g',cUPMDTk: "\/abstracts\/search?q=large%20time%20asymptotics&__cf_chl_tk=CIEZEN8uIQ0aY1wFofSvMbXc0w062vhd24U2Rf_08.U-1739707688-1.0.1.1-EGq5RaQiu9_Ym9o0PTE7Evvc0hhRP8TLxUYofxca0kQ",cFPWv: 'b',cITimeS: '1739707688',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=large%20time%20asymptotics&__cf_chl_f_tk=CIEZEN8uIQ0aY1wFofSvMbXc0w062vhd24U2Rf_08.U-1739707688-1.0.1.1-EGq5RaQiu9_Ym9o0PTE7Evvc0hhRP8TLxUYofxca0kQ",md: "_gbQR82Mpoh9Iybuq3w2.SBsCFIHQNorCLnIyVBuaiM-1739707688-1.2.1.1-6q.ryI17HzSRgWaJa2AcZjJFRM72OWjOWaWkoyxwrr2p4nsju1c_xkso_NwQ4juTmwxeipmabq3aR5Pm.rpXXFfs_r.b65fZOP.k1MvX6kugTY0QMyBMC88.M9eydl_eCQQ0842ObUZzG5bAkf8FGpVY7MCLsQZR3V3BT8fGVwtG533vhG29JhALDw5Bf66CxiJ6zZkHtsKc8RpH3qU6EUhbSep6F3cmkKtFamm0FhBJEaD4ndCtsO8TteQaCPbqWbHmsD8apTCKg_GgrnjkKy6iuYoBi5xMSwi3suxhzagMq3B10ta5nBj188IVCJnhktBQ5P2TVZ6ZCnm8Xf3ZgNogopFi5fUK75yXmIofeNn095y9GMCzhKRlBBzmTrKTOMdlI5Gq2yM2Ka6Q9sfeRlzK2XdGQ2cIlm9ZdJ3BmI.rNkgqPvzVGd5dF8YiNWBME05h.8Xum00PJvnYuQgOJfZjzvtiUdPZaoW.nJ7290IWcj.Au.Wz0kFgqXV_yDIUFav652mZBwojHQ24d_HFcVoRgFsBaXVkseyrZr9RsAV5pYyLw3RwPDgY9BfDLeLwzy7pfTOfpVIbbGFUyfCsp3.1XIf.HJsKGNXpnuWZVNOi1Dz2pH1wyWYTF5AnJN9NsKcOB0b9Wj5gUm5GO.oSE5kvSmz1vXVE0Tgh8.3Saj22ZgmDzVetWsIIjZlqFu6SpOGCmJICLhBA46xogMbH9WvhMP_Vqsv2AQ2qe0Rix9xf81Rj4RdjNtSdbRIpC.h8q_EL7_qb9vL2VgoikMLod5l_VVO6y8ts7kRqJK_Z_pM_eLiVXIIPDmihBXmDbSYKNCbSUp9t9vsuUDtt0BUn6VHFQjqz.PAAL4XaQe7nwhoTnuhVGijqD06HQyOdmoL2v2WbOwzDsjEOG5jnBKtor1QTnazFUMG6kO7c5e8C9NtyQt_HAU.ZVqmuD7aG6.z5xXdwYntAq7xO6uZwQorGhtVC0FnTlx9bQAyNDlXUCUiv8ko8UPs43yx3t4dsJ1qQkmbBS7wkkdK53QQrYottvEOYK0G5TktojCYcK5kUxCV3hZG.IZbbE1WQNERu7zjJ1NCNTPklNDNNqsiZGx.9PaHmBR3xGiyIRNGZTB5kOoVw6uQ1Sr.Nb39jHHR2Ny_5pTctpmZpBDV3lvAqzyjuSKh3gGK5Vn9tP5OOQqUU8JMyitSaD.1.D9w6cJ.yQlVmSrHWIfrvRpb0Z6rWne2vMwTpbEMGnOJGXz9cnuGWqHVbsSBeDYs0bW_D7bQSU52z9xEasNINtTUGUOw2PvSMR1F4jbd7600Y5N8pL.conomW1C5cCc5gjwH7DcZqZdoWvskak88cEobtR7Y3ortBE6tlhY3Rh9iGUReGca_DwepG03sx_duXcXQ_o9DJqMWqadTdaDEwzfF6NLcIFfGz.fMOLXCF_NXNItjRzjS18AuFFAJPhVaNMtO2SSULR.c6rzvHLhmMMSyNY2iOejhVULthAwCFApI3wjqmfmwPYD3VCJDkNJZiNA93zgNUpRi72qrjrtTqN1PR5YPqiA87U2bS7gBlK_ddE7_jrnjpokp4TjyOimi9UCzdyyVijV7Ho.hJaqmM8vcJCZZ027p1DblnqhcsMuJs3YdvQDmVQLStW4yIvwujMzHlH_b9mtDVEKpanN2BO6xBqoXUQZcMGwiBrnyu5B6d04aB0p5MvPdzdC5ZquwSVVFvD8AcBFwG5bxD85vKWxfUPx9.eWzoO7PZHP3QdmKxHTNyI_ZsL2I3wv8HTOgG9SMPJLgEHRa1vct8DLMoMpBIwHbnRIWMhyj5tEmtN1mC.huWskNQId42udCGkFDZcOZTi.Ok1pNmpThGqzJBYlR61dzawQu2JHA7g0t_vEQLDdenNRGFjRYcZ6_m.dOLGUkEctgeIumtenqANiMB0A2KcpnG6IA9M564wi9yqtjMhuZThTIO2FhyRfY6S68sY7UzbL2FpEgg",mdrd: "HDVl1IGLJAPUMO4hG7ScPd1wU8im75jyxBeURVhvicw-1739707688-1.2.1.1-ZBa2H6d_.OflXGdkD2VtofD34ebhBOa3LdEDwf7NH1QT1uNMCi.NhuGAnfF9j7VbtZNSCxZ77OxMG2iIiwaE9AGV.Nqa_tlWWIasGdsb4jadqjY3IvEtoLlP.utIJsODWaoqYZ.mCg.oG9lO46UyM.ed_rHIjuJQa8bKsDlbONtIgb4cmFx6b_8PkOhUf.5keiZyuo4YTQ37tBmfeNwi0tFcUpWgxvnbVNYKGj.27dhGLFie.UFXNirJX4AnSL5IHB8jhwFtVPfWH6UrWi28ydryGyDSQzSmsMNtr4q3f4t2aC5frZyvZnt.NMx5qKcsjKqa8S9VbuoRuLFzqjw4P0HoX_Zh0iIjcKVFaZlSKmlpv5ykkyFbN1mXq946uOCVgxXHgtt7N5ayQRelJGLm3B9xwwLrPzPOx7d2HtxoDtVwSxXgo7WAAcTsRxtusj8v9Jh_O0P0TVVsASG1vZUWG93Z5OdbPzL6cLTJcbNt48dLP_lLxhDoqc.41R5EZdb85wPh.dwxjcd38qJJB5lP5pS3Xl0rXmlskxNu6cKDXGVUzrxmCz921JkRiejQ7JEqborfSkySR6Q8aJqFMyEdaO5vxuRGOSW7mR7muQ3_Q7KI4tS4LehYgNPujRtdcPLe4pBp98KwjYpWviakaoudu1CEB8KmJcC5L.onE7wjZnSDBwPeUMAJfsakgLmhqKxUT3Gtuab1aQsbJUC78E495ubYe0DreNI2Qob7c7CByDGJbqyoKFZmSKMTxevB1dQNGd4AvpZhvWsTDau7riWgiK1zSlgnRGn9DcppH0iYr69lkCvH7yi5yLgduUwGO06nzf8nHH6IK4vXrXBv4fmZ_voOPGztlBtWoKWhqWrBB_3AtX8Xe2_ejP2qIjRKZjXxejqRUmScFvFsrAZcsfLcQg832R1BXzPCQppoDCkzm.AwV3QL9ROmvGCFr4A1LODd1ZC6PBzIF0Xg2PAUon1LVHQUd0Q7AAxn5ecMHpV3jalkQutPJHLsx2yQGnGezQFDD6Dj1SxXTc5uYUt5a13cuWQY6V5JKxGhOtyHc8APzPtAA2rUGdDXlvRfZ7LRfOsNOvGNxtba7YnaQfL4V5kRXSKltHKfgQ_NtyX4M.Nl5.M1FR4ASs6NvssVafXQewoiVgfuDwl1Wsrz2xX.pJwm4b2ppVZiAt2CU79to2_vCQyyaPWp3Td_8520zBa0blkFfaJ4qgWJRHL6Ai7Xw3q4pGRjy3y.NL.zCE2lwAwRs30lNXp90z9GKzgDwbK4Cs6pBLmltXVjAzq4kxHuxO19rUqHYvaUhHIO9C3yIRRyaP3Tefc4Edu_NCm4UosBEd7KcmJJoHTuSGwuQWFgTIQH_IipnkjcivqKzks3zQgLB9uM3BOwB4Hp5v8nEanYKt3UJsP1vQMRo0EfMnI2qiQtwJDz9HSg_C4l8aJEL5VTthP09lAhbMfd1QB6mq0BAEQBCD1IVxSisTto3AWqWo4kxt86vqTYeNsTgVJhaBBCaDeJ6mgNzQqlua4zVnvk2Ew9YUpZ0rERasJmlik.N2JPiRrGH5GzCGm3NsPYJLP9UjdfNB4QdJvYrl7zpLuPQ6aSuFvw9OrdgIzzSwItJE8j5wiDn1Z2KUxeZXKcMAfNzczKSRgmcoQ.udfai7Pb2hFoUrWa4vdDU4Cnn2Nl4mA7HTDQbPGo0u3zg0SteeP0CpU7jxxL6Mi3VUetql8xKMX9o0P53OM_s9mQ.QVjVBCYJgalF0jzUc5kEI3uhgI9ASzuq78nPavvf26Jfa8CTIE7HeJUmZNYh7ADsqydVMws73RbXswGm9wH2yImg88Md2jZhltFtU_ywSFmJr0ZdkOJZ0B6p_RlBEcFBFMvvuLRaoheGXvaNb2TQvPWa0gcNnHRSDR1BolohFMcU6u9.hRxlPZ9HB7IVBojVfsv8sSwMgoYLN.4QXeaRITWimak_9ZMbdEdOZ16DfDvkqzIMKsa"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=912d6bdf6e26d083';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=large%20time%20asymptotics&__cf_chl_rt_tk=CIEZEN8uIQ0aY1wFofSvMbXc0w062vhd24U2Rf_08.U-1739707688-1.0.1.1-EGq5RaQiu9_Ym9o0PTE7Evvc0hhRP8TLxUYofxca0kQ" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>