LEADER 03614nam 22006135 450 001 996466662203316 005 20200709205055.0 010 $a3-540-46587-1 024 7 $a10.1007/BFb0112488 035 $a(CKB)1000000000437289 035 $a(SSID)ssj0000326507 035 $a(PQKBManifestationID)12069592 035 $a(PQKBTitleCode)TC0000326507 035 $a(PQKBWorkID)10296352 035 $a(PQKB)10556723 035 $a(DE-He213)978-3-540-46587-4 035 $a(MiAaPQ)EBC5596212 035 $a(PPN)155183826 035 $a(EXLCZ)991000000000437289 100 $a20100730d2000 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSemiclassical Analysis for Diffusions and Stochastic Processes$b[electronic resource] /$fby Vassili N. Kolokoltsov 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (VIII, 356 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1724 300 $aIncludes index. 311 $a3-540-66972-8 327 $aGaussian diffusions -- Boundary value problem for Hamiltonian systems -- Semiclassical approximation for regular diffusion -- Invariant degenerate diffusion on cotangent bundles -- Transition probability densities for stable jump-diffusions -- Semiclassical asymptotics for the localised Feller-Courrège processes -- Complex stochastic diffusion or stochastic Schrödinger equation -- Some topics in semiclassical spectral analysis -- Path integration for the Schrödinger, heat and complex diffusion equations. 330 $aThe monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lévy processes, (iii) complex stochastic Schrödinger equations which correspond to models of quantum open systems. The main results of the book concern the existence, two-sided estimates, path integral representation, and small time and semiclassical asymptotics for the Green functions (or fundamental solutions) of these equations, which represent the transition probability densities of the corresponding random process. The boundary value problem for Hamiltonian systems and some spectral asymptotics ar also discussed. Readers should have an elementary knowledge of probability, complex and functional analysis, and calculus. . 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1724 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aProbabilities 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aProbabilities. 615 14$aAnalysis. 615 24$aProbability Theory and Stochastic Processes. 676 $a519.23 700 $aKolokoltsov$b Vassili N$4aut$4http://id.loc.gov/vocabulary/relators/aut$0441084 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466662203316 996 $aSemiclassical analysis for diffusions and stochastic processes$978817 997 $aUNISA LEADER 03471 am 22006013u 450 001 996552367103316 005 20230621140137.0 010 $a1-5261-2252-9 024 7 $a10.7765/9781526122520 035 $a(CKB)4100000003844735 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/25981 035 $a(DE-B1597)659630 035 $a(DE-B1597)9781526122520 035 $a(EXLCZ)994100000003844735 100 $a20180527h20182018 fy| 0 101 0 $aeng 135 $aurm|#---uu||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aTime for mapping $ecartographic temporalities /$fedited by Sybille Lammes, Chris Perkins, Alex Gekker, Sam Hind, Clancy Wilmott and Daniel Evans 210 $cManchester University Press$d2018 210 1$aManchester, UK :$cManchester University Press,$d2018. 210 4$d©2018 215 $a1 online resource (272 pages) $cillustrations, maps; digital, PDF file(s) 311 $a1-5261-2253-7 320 $aIncludes bibliographical references and index. 330 $aThe digital era has brought about huge transformations in the map itself, which to date have been largely conceptualised in spatial terms. Novel objects, forms, processes and approaches have emerged and pose new, pressing questions about the temporality of digital maps and contemporary mapping practices: in spite of its implicit spatiality, digital mapping is strongly grounded in time. This collection brings time back into the map, taking up Doreen Massey's critical concern for 'ongoing stories' in the world; it asks how mapping enrols time into these narratives. Maps often seek to ?freeze? and ?fix? the world, looking to represent, document or capture dynamic phenomena. This collection examines how these processes are impacted by digital cartographic technologies that, arguably, have disrupted our understanding of time as much as they have provided coherence. The book consists of twelve chapters from experts in the field. Each addresses a different type of digital mapping practice and analyses it in relation to temporality. Cases discussed range from locative art projects, OpenStreetMap mapping parties, sensory mapping, Google Street View, to visual mapping, smart city dashboards and crisis mapping. Authors from different disciplinary positions consider how a temporal lens might focus attention on different aspects of digital mapping. This kaleidoscopic approach demonstrates a rich plethora of ways for understanding the temporal modes of digital mapping and the interdisciplinary background of the authors allows multiple positions to be developed and contrasted. 606 $aDigital mapping 606 $aCartography$xSocial aspects 610 $atechnologies 610 $adigital mapping 610 $atemporality 610 $atime 610 $aCartography 610 $aGlobal Positioning System 610 $aOpenStreetMap 615 0$aDigital mapping. 615 0$aCartography$xSocial aspects. 676 $a912.0285 676 $a526 700 $aHind$b Sam$4auth$01349198 702 $aLammes$b Sybille 702 $aPerkins$b C. R. 702 $aGekker$b Alex 702 $aHind$b Sam 702 $aWilmott$b Clancy 702 $aEvans$b Daniel$c(Geographer), 801 2$bUkMaJRU 906 $aBOOK 912 $a996552367103316 996 $aTime for mapping$93087112 997 $aUNISA