LEADER 03583nam 2200601 450 001 9910788854203321 005 20180731044909.0 010 $a1-4704-0533-4 035 $a(CKB)3360000000465111 035 $a(EBL)3114166 035 $a(SSID)ssj0000888802 035 $a(PQKBManifestationID)11566304 035 $a(PQKBTitleCode)TC0000888802 035 $a(PQKBWorkID)10866476 035 $a(PQKB)11249441 035 $a(MiAaPQ)EBC3114166 035 $a(RPAM)15511249 035 $a(PPN)195418166 035 $a(EXLCZ)993360000000465111 100 $a20150416h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aBrownian Brownian motion-I /$fN. Chernov, D. Dolgopyat 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$dİ2009 215 $a1 online resource (208 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 198, Number 927 300 $a"Volume 198, Number 927 (fourth of 6 numbers)." 311 $a0-8218-4282-X 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. The model""; ""1.2. The container""; ""1.3. Billiard approximations""; ""Chapter 2. Statement of results""; ""2.1. Heavy disk in 'equilibrium' (linear motion)""; ""2.2. Heavy disk at rest (slow acceleration)""; ""2.3. Heavy disk of small size""; ""2.4. Comparison to previous works""; ""Chapter 3. Plan of the proofs""; ""3.1. General strategy""; ""3.2. Precise definitions""; ""3.3. Key technical results""; ""Chapter 4. Standard pairs and equidistribution""; ""4.1. Unstable vectors""; ""4.2. Unstable curves"" 327 $a""6.2. Structure of the proofs""""6.3. Short term moment estimates for V""; ""6.4. Moment estimatesa???a priori bounds""; ""6.5. Tightness""; ""6.6. Second moment""; ""6.7. Martingale property""; ""6.8. Transition to continuous time""; ""6.9. Uniqueness for stochastic differential equations""; ""Chapter 7. Fast slow particle""; ""Chapter 8. Small large particle""; ""Chapter 9. Open problems""; ""9.1. Collisions of the massive disk with the wall""; ""9.2. Longer time scales""; ""9.3. Stadia and the piston problem""; ""9.4. Finitely many particles""; ""9.5. Growing number of particles"" 327 $a""9.6. Particles of positive size""""Appendix A. Statistical properties of dispersing billiards""; ""A.1. Decay of correlations: overview""; ""A.2. Decay of correlations: extensions""; ""A.3. Large deviations""; ""A.4. Moderate deviations""; ""A.5. Nonsingularity of diffusion matrix""; ""A.6. Asymptotics of diffusion matrix""; ""Appendix B. Growth and distortion in dispersing billiards""; ""B.1. Regularity of H-curves""; ""B.2. Invariant Section Theorem""; ""B.3. The function space R""; ""Appendix C. Distortion bounds for two particle system""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 198, Number 927. 606 $aDiffusion processes 606 $aBrownian movements 606 $aLimit theorems (Probability theory) 615 0$aDiffusion processes. 615 0$aBrownian movements. 615 0$aLimit theorems (Probability theory) 676 $a519.2/33 700 $aChernov$b Nikolai$f1956-$0300360 702 $aDolgopyat$b Dmitry$f1972- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788854203321 996 $aBrownian Brownian motion-I$93836156 997 $aUNINA LEADER 03183nam 2200421z- 450 001 9910220056603321 005 20210211 035 $a(CKB)3800000000216212 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/51777 035 $a(oapen)doab51777 035 $a(EXLCZ)993800000000216212 100 $a20202102d2016 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aLipid Signalling In Plant Development And Responses To Environmental Stresses 210 $cFrontiers Media SA$d2016 215 $a1 online resource (112 p.) 225 1 $aFrontiers Research Topics 311 08$a2-88919-910-X 330 $aIn response to environmental stresses, or during development, plant cells will produce lipids that will act as intracellular or intercellular mediators. Glycerophospholipid and/or sphingolipid second messengers resulting from the action of lipid metabolizing enzymes (e.g. lipid-kinases or lipases) are commonly found within cells. The importance of such mediating lipids in plants has become increasingly apparent. Responses to biotic and abiotic stresses, and to plant hormones, all appear to involve and require lipid signals. Likewise, developmental processes, in particular polarized growth, seem also to involve signalling lipids. Amongst these lipids, phosphatidic acid (PA) has received the most attention. It can be produced by phospholipases D, but also by diacylglycerol kinases coupled to phospholipases C. Proteins that bind phosphatidic acid, and for which the activity is altered upon binding, have been identified. Furthermore, other lipids are also important in signalling processes. PA can be phosphorylated into diacylglycerol-pyrophosphate, and plants are one of the first biological models where the production of this lipid has been reported, and its implication in signal transduction have been demonstrated. PA can also be deacylated into lyso- phosphatidic acid. The phosphorylated phosphatidylinositols, i.e. the phosphoinositides, can act as substrate of phospholipases C, but are also mediating lipids per se, since proteins that bind them have been identified. Other important lipid mediators belong to the sphingolipid family such the phosphorylated phytosphingosine, or long-chain bases. Many questions remain unanswered concerning lipid signalling in plants. Understanding and discussing current knowledge on these mechanisms will provide insights into plant mechanisms in response to constraints, either developmental or environmental. 606 $aBotany & plant sciences$2bicssc 610 $adiacylglycerolpyrophosphate 610 $aInositolphosphates 610 $alipid signaling 610 $alipid-kinases 610 $aphosphatidic acid 610 $aphosphoinositides 610 $aPhospholipases 615 7$aBotany & plant sciences 700 $aOlga Valentova$4auth$01292327 702 $aEric Ruelland$4auth 906 $aBOOK 912 $a9910220056603321 996 $aLipid Signalling In Plant Development And Responses To Environmental Stresses$93022175 997 $aUNINA