FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3000208144> ?p ?o ?g. }

• W3000208144 abstract "Abstract In this paper we study ergodic optimization and multifractal behavior of Lyapunov exponents for matrix cocycles. We show that the restricted variational principle holds for generic cocycles [in the sense of (Bonatti and Viana in Ergod Theory Dyn Syst 24(5):1295–1330, 2004)] over mixing subshifts of finite type. We also show that the Lyapunov spectrum is equal to the closure of the set where the entropy spectrum is positive for such cocycles. Moreover, we show the continuity of the entropy spectrum at boundary of Lyapunov spectrum in the sense that $$h_{top}(E(alpha _{t})) rightarrow h_{top}(E(beta ({mathcal {A}}))$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>h</mml:mi> <mml:mrow> <mml:mi>top</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>E</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> <mml:mspace /> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>h</mml:mi> <mml:mrow> <mml:mi>top</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>E</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>β</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>A</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , where $$E(alpha )={xin X: lim _{nrightarrow infty }frac{1}{n}log Vert {mathcal {A}}^{n}(x)Vert =alpha }$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>E</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mo>{</mml:mo> <mml:mi>x</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>X</mml:mi> <mml:mo>:</mml:mo> <mml:msub> <mml:mo>lim</mml:mo> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>→</mml:mo> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mi>n</mml:mi> </mml:mfrac> <mml:mo>log</mml:mo> <mml:mo>‖</mml:mo> <mml:msup> <mml:mrow> <mml:mi>A</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>‖</mml:mo> <mml:mo>=</mml:mo> <mml:mi>α</mml:mi> <mml:mo>}</mml:mo> </mml:mrow> </mml:math> , for such cocycles. We prove the continuity of the lower joint spectral radius for linear cocycles under the assumption that linear cocycles satisfy a cone condition." @default.
• W3000208144 created "2020-01-23" @default.
• W3000208144 creator A5014194224 @default.
• W3000208144 date "2022-04-15" @default.
• W3000208144 modified "2023-09-26" @default.
• W3000208144 title "Lyapunov Spectrum Properties and Continuity of the Lower Joint Spectral Radius" @default.
• W3000208144 cites W148721588 @default.
• W3000208144 cites W1503425191 @default.
• W3000208144 cites W1964947492 @default.
• W3000208144 cites W1971178571 @default.
• W3000208144 cites W1984976263 @default.
• W3000208144 cites W1986548419 @default.
• W3000208144 cites W1994439007 @default.
• W3000208144 cites W2013723323 @default.
• W3000208144 cites W2014249201 @default.
• W3000208144 cites W2032326995 @default.
• W3000208144 cites W2045992504 @default.
• W3000208144 cites W2050605715 @default.
• W3000208144 cites W2051040085 @default.
• W3000208144 cites W2052190887 @default.
• W3000208144 cites W2058557176 @default.
• W3000208144 cites W2059331696 @default.
• W3000208144 cites W2076566814 @default.
• W3000208144 cites W2078175581 @default.
• W3000208144 cites W2116659310 @default.
• W3000208144 cites W2129912624 @default.
• W3000208144 cites W2160320650 @default.
• W3000208144 cites W2166473876 @default.
• W3000208144 cites W2264833532 @default.
• W3000208144 cites W2335035713 @default.
• W3000208144 cites W2513348884 @default.
• W3000208144 cites W2600620472 @default.
• W3000208144 cites W2771518489 @default.
• W3000208144 cites W2886632652 @default.
• W3000208144 cites W2980544769 @default.
• W3000208144 cites W3002826973 @default.
• W3000208144 cites W3097738082 @default.
• W3000208144 cites W3103198105 @default.
• W3000208144 cites W3104203799 @default.
• W3000208144 cites W3106088909 @default.
• W3000208144 cites W4212958445 @default.
• W3000208144 cites W4229998491 @default.
• W3000208144 cites W4249667877 @default.
• W3000208144 cites W638445310 @default.
• W3000208144 doi "https://doi.org/10.1007/s10955-022-02910-w" @default.
• W3000208144 hasPublicationYear "2022" @default.
• W3000208144 type Work @default.
• W3000208144 sameAs 3000208144 @default.
• W3000208144 citedByCount "0" @default.
• W3000208144 crossrefType "journal-article" @default.
• W3000208144 hasAuthorship W3000208144A5014194224 @default.
• W3000208144 hasBestOaLocation W30002081441 @default.
• W3000208144 hasConcept C11413529 @default.
• W3000208144 hasConcept C41008148 @default.
• W3000208144 hasConceptScore W3000208144C11413529 @default.
• W3000208144 hasConceptScore W3000208144C41008148 @default.
• W3000208144 hasFunder F4320324119 @default.
• W3000208144 hasIssue "3" @default.
• W3000208144 hasLocation W30002081441 @default.
• W3000208144 hasLocation W30002081442 @default.
• W3000208144 hasLocation W30002081443 @default.
• W3000208144 hasOpenAccess W3000208144 @default.
• W3000208144 hasPrimaryLocation W30002081441 @default.
• W3000208144 hasRelatedWork W2051487156 @default.
• W3000208144 hasRelatedWork W2052122378 @default.
• W3000208144 hasRelatedWork W2053286651 @default.
• W3000208144 hasRelatedWork W2073681303 @default.
• W3000208144 hasRelatedWork W2317200988 @default.
• W3000208144 hasRelatedWork W2544423928 @default.
• W3000208144 hasRelatedWork W2947381795 @default.
• W3000208144 hasRelatedWork W2181413294 @default.
• W3000208144 hasRelatedWork W2181743346 @default.
• W3000208144 hasRelatedWork W2187401768 @default.
• W3000208144 hasVolume "187" @default.
• W3000208144 isParatext "false" @default.
• W3000208144 isRetracted "false" @default.
• W3000208144 magId "3000208144" @default.
• W3000208144 workType "article" @default.