001449521 000__ 05860cam\a2200685\i\4500 001449521 001__ 1449521 001449521 003__ OCoLC 001449521 005__ 20230310004404.0 001449521 006__ m\\\\\o\\d\\\\\\\\ 001449521 007__ cr\cn\nnnunnun 001449521 008__ 220915s2022\\\\si\a\\\\ob\\\\110\0\eng\d 001449521 019__ $$a1343866399$$a1344158331 001449521 020__ $$a9789811946721$$q(electronic bk.) 001449521 020__ $$a9811946728$$q(electronic bk.) 001449521 020__ $$z9789811946714 001449521 020__ $$z981194671X 001449521 0247_ $$a10.1007/978-981-19-4672-1$$2doi 001449521 035__ $$aSP(OCoLC)1344433701 001449521 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dYDX$$dSFB$$dOCLCQ 001449521 049__ $$aISEA 001449521 050_4 $$aQA274.2$$b.D57 2022 001449521 08204 $$a519.2$$223/eng/20220915 001449521 24500 $$aDirichlet forms and related topics :$$bin honor of Masatoshi Fukushima's beiju, IWDFRT 2022, Osaka, Japan, August 22-26 /$$cZhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors. 001449521 24630 $$aIWDFRT 2022 001449521 264_1 $$aSingapore :$$bSpringer,$$c[2022] 001449521 264_4 $$c©2022 001449521 300__ $$a1 online resource (xxi, 572 pages) :$$billustrations (some color). 001449521 336__ $$atext$$btxt$$2rdacontent 001449521 337__ $$acomputer$$bc$$2rdamedia 001449521 338__ $$aonline resource$$bcr$$2rdacarrier 001449521 4901_ $$aSpringer proceedings in mathematics & statistics,$$x2194-1017 ;$$vvolume 394 001449521 5050_ $$aIntro -- Preface -- List of Masatoshi Fukushima's Publications -- Contents -- Markov Uniqueness and Fokker-Planck-Kolmogorov Equations -- 1 Introduction and Framework -- 2 The Main Idea and a Parabolic Condition for Uniqueness -- 3 Some Uniqueness Results for FPKEs -- 3.1 Fokker-Planck-Kolmogorov Equations -- 3.2 Nondegenerate VMO Diffusion Coefficients -- 3.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 3.4 Nondegenerate Diffusion Coefficients and the Lyapunov Function Condition -- 3.5 Degenerate Diffusion Coefficients -- 4 Applications to the Markov Uniqueness Problem 001449521 5058_ $$a4.1 The Framework -- 4.2 Nondegenerate VMO Diffusion Coefficients -- 4.3 Nondegenerate Locally Lipschitz Diffusion Coefficients -- 4.4 Nondegenerate Diffusion Coefficients and Lyapunov Function Conditions -- 4.5 Degenerate Diffusion Coefficients -- References -- A Chip-Firing and a Riemann-Roch Theorem on an Ultrametric Space -- 1 Introduction -- 2 Laplacian and Riemann-Roch Theorem on Ultrametric Space with Finite Vertices -- 3 Unification of Ultrametric Space with Finite Verteces -- 4 Riemann-Roch Theorem on Ultrametric Space with Countably Many Vertices -- References 001449521 5058_ $$aHermitizable, Isospectral Matrices or Differential Operators -- 1 Hermitizable, Isospectral Matrices -- 2 Hermitizable, Isospectral Differential Operators -- References -- On Strongly Continuous Markovian Semigroups -- References -- Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results -- 1 Introduction -- 2 Stability of Heat Kernel Estimates for Symmetric Diffusions with Jumps -- 2.1 Two-Sided Heat Kernel Estimates -- 2.2 Example -- 3 Symmetric Reflected Diffusions with Jumps in Inner Uniform Domains -- 3.1 Reflected Diffusions on Inner Uniform Domains 001449521 5058_ $$a3 Some Translation Invariant Pseudo-differential Operators -- 4 Some Discussions on the Case upper N equals 2N=2 -- 5 Higher Order Partial Differential Equations Admitting Non-negative Solutions -- References -- Monotonicity Properties of Regenerative Sets and Lorden's Inequality -- 1 Introduction -- 2 Lorden's Inequality -- 3 Monotone Potential Density -- 4 Concluding Remarks -- References -- Doob Decomposition, Dirichlet Processes, and Entropies on Wiener Space -- 1 Introduction -- 2 Doob Decomposition in Continuous Time -- 3 Entropies and Couplings on Wiener Space -- References 001449521 506__ $$aAccess limited to authorized users. 001449521 520__ $$aThis conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to. These 27 papers cover a wide range of topics in probability theory, ranging from Dirichlet form theory, Markov processes, heat kernel estimates, entropy on Wiener spaces, analysis on fractal spaces, random spanning tree and Poissonian loop ensemble, random Riemannian geometry, SLE, space-time partial differential equations of higher order, infinite particle systems, Dyson model, functional inequalities, branching process, to machine learning and Hermitizable problems for complex matrices. Researchers and graduate students interested in these areas will find this book appealing. Professor Masatoshi Fukushima is well known for his fundamental contributions to the theory of Dirichlet forms and symmetric Markov processes. 001449521 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 15, 2022). 001449521 650_0 $$aDirichlet forms$$vCongresses. 001449521 650_0 $$aProbabilities$$vCongresses. 001449521 655_7 $$aConference papers and proceedings.$$2fast$$0(OCoLC)fst01423772 001449521 655_7 $$aFestschriften.$$2fast$$0(OCoLC)fst01941036 001449521 655_7 $$aFestschriften.$$2lcgft 001449521 655_7 $$aConference papers and proceedings.$$2lcgft 001449521 655_7 $$aHomenatges.$$2thub 001449521 655_7 $$aCongressos.$$2thub 001449521 655_7 $$aLlibres electrònics.$$2thub 001449521 655_0 $$aElectronic books. 001449521 7001_ $$aChen, Zhen-Qing,$$eeditor. 001449521 7001_ $$aTakeda, Masayoshi,$$eeditor. 001449521 7001_ $$aUemura, Toshihiro,$$eeditor. 001449521 7001_ $$aFukushima, Masatoshi,$$d1935-$$ehonoree. 001449521 77608 $$iPrint version: $$z981194671X$$z9789811946714$$w(OCoLC)1330195704 001449521 830_0 $$aSpringer proceedings in mathematics & statistics ;$$vv.394.$$x2194-1017 001449521 852__ $$bebk 001449521 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-4672-1$$zOnline Access$$91397441.1 001449521 909CO $$ooai:library.usi.edu:1449521$$pGLOBAL_SET 001449521 980__ $$aBIB 001449521 980__ $$aEBOOK 001449521 982__ $$aEbook 001449521 983__ $$aOnline 001449521 994__ $$a92$$bISE