Matches in SemOpenAlex for { <https://semopenalex.org/work/W3046875213> ?p ?o ?g. }
- W3046875213 abstract "We put forward a new method for obtaining quantitative lower bounds on the top Lyapunov exponent of stochastic differential equations (SDEs). Our method combines (i) an (apparently new) identity connecting the top Lyapunov exponent to a Fisher information-like functional of the stationary density of the Markov process tracking tangent directions with (ii) a novel, quantitative version of Hormander's hypoelliptic regularity theory in an $L^1$ framework which estimates this (degenerate) Fisher information from below by a $W^{s,1}_{mathrm{loc}}$ Sobolev norm. This method is applicable to a wide range of systems beyond the reach of currently existing mathematically rigorous methods. As an initial application, we prove the positivity of the top Lyapunov exponent for a class of weakly-dissipative, weakly forced SDE; in this paper we prove that this class includes the Lorenz 96 model in any dimension, provided the additive stochastic driving is applied to any consecutive pair of modes." @default.
- W3046875213 created "2020-08-07" @default.
- W3046875213 creator A5021171630 @default.
- W3046875213 creator A5053962914 @default.
- W3046875213 creator A5081815930 @default.
- W3046875213 date "2020-07-31" @default.
- W3046875213 modified "2023-09-23" @default.
- W3046875213 title "A regularity method for lower bounds on the Lyapunov exponent for stochastic differential equations" @default.
- W3046875213 cites W1486396968 @default.
- W3046875213 cites W1522211676 @default.
- W3046875213 cites W1530927473 @default.
- W3046875213 cites W1540059687 @default.
- W3046875213 cites W1565171775 @default.
- W3046875213 cites W156547846 @default.
- W3046875213 cites W1573082642 @default.
- W3046875213 cites W1579485993 @default.
- W3046875213 cites W1585439360 @default.
- W3046875213 cites W1587348082 @default.
- W3046875213 cites W1587587498 @default.
- W3046875213 cites W1647323343 @default.
- W3046875213 cites W1802196594 @default.
- W3046875213 cites W1853114517 @default.
- W3046875213 cites W1966780936 @default.
- W3046875213 cites W1978143337 @default.
- W3046875213 cites W1980965404 @default.
- W3046875213 cites W1985099948 @default.
- W3046875213 cites W1987074172 @default.
- W3046875213 cites W1988543600 @default.
- W3046875213 cites W1988602350 @default.
- W3046875213 cites W1989597429 @default.
- W3046875213 cites W1995713768 @default.
- W3046875213 cites W1996982656 @default.
- W3046875213 cites W2005625518 @default.
- W3046875213 cites W2007561358 @default.
- W3046875213 cites W2015263140 @default.
- W3046875213 cites W2019398782 @default.
- W3046875213 cites W2021268474 @default.
- W3046875213 cites W2022221320 @default.
- W3046875213 cites W2024610012 @default.
- W3046875213 cites W2026198779 @default.
- W3046875213 cites W2028886195 @default.
- W3046875213 cites W2045992504 @default.
- W3046875213 cites W2046453766 @default.
- W3046875213 cites W2049013344 @default.
- W3046875213 cites W2060287224 @default.
- W3046875213 cites W2061738100 @default.
- W3046875213 cites W2072403451 @default.
- W3046875213 cites W2073530198 @default.
- W3046875213 cites W2074693497 @default.
- W3046875213 cites W2084164774 @default.
- W3046875213 cites W2085187496 @default.
- W3046875213 cites W2087583851 @default.
- W3046875213 cites W2093699033 @default.
- W3046875213 cites W2097293438 @default.
- W3046875213 cites W2149795245 @default.
- W3046875213 cites W2161358768 @default.
- W3046875213 cites W2164454345 @default.
- W3046875213 cites W2166477576 @default.
- W3046875213 cites W2167085752 @default.
- W3046875213 cites W2171689276 @default.
- W3046875213 cites W2217556695 @default.
- W3046875213 cites W2314913127 @default.
- W3046875213 cites W24341581 @default.
- W3046875213 cites W2491160177 @default.
- W3046875213 cites W2519188913 @default.
- W3046875213 cites W2566555010 @default.
- W3046875213 cites W2746032625 @default.
- W3046875213 cites W2889883910 @default.
- W3046875213 cites W2912310744 @default.
- W3046875213 cites W2945292148 @default.
- W3046875213 cites W2963048334 @default.
- W3046875213 cites W2963822970 @default.
- W3046875213 cites W2972720256 @default.
- W3046875213 cites W3003557460 @default.
- W3046875213 cites W3044971865 @default.
- W3046875213 cites W3101142711 @default.
- W3046875213 cites W3101432825 @default.
- W3046875213 cites W3152478022 @default.
- W3046875213 cites W32181719 @default.
- W3046875213 cites W377614243 @default.
- W3046875213 cites W647919729 @default.
- W3046875213 cites W66179134 @default.
- W3046875213 cites W91288600 @default.
- W3046875213 hasPublicationYear "2020" @default.
- W3046875213 type Work @default.
- W3046875213 sameAs 3046875213 @default.
- W3046875213 citedByCount "2" @default.
- W3046875213 countsByYear W30468752132021 @default.
- W3046875213 crossrefType "posted-content" @default.
- W3046875213 hasAuthorship W3046875213A5021171630 @default.
- W3046875213 hasAuthorship W3046875213A5053962914 @default.
- W3046875213 hasAuthorship W3046875213A5081815930 @default.
- W3046875213 hasConcept C121332964 @default.
- W3046875213 hasConcept C134306372 @default.
- W3046875213 hasConcept C138187205 @default.
- W3046875213 hasConcept C138885662 @default.
- W3046875213 hasConcept C13982400 @default.
- W3046875213 hasConcept C158622935 @default.
- W3046875213 hasConcept C187123786 @default.
- W3046875213 hasConcept C191544260 @default.