LEADER 11305nam 2200601 450 001 996490348503316 005 20230718151358.0 010 $a981-19-4672-8 035 $a(MiAaPQ)EBC7080267 035 $a(Au-PeEL)EBL7080267 035 $a(CKB)24778999000041 035 $a(PPN)264955846 035 $a(EXLCZ)9924778999000041 100 $a20230201d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aDirichlet forms and related topics $ein honor of Masatoshi Fukushima's Beiju, IWDFRT 2022, Osaka, Japan, August 22-26 /$fZhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura, editors 210 1$aSingapore :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (572 pages) 225 1 $aSpringer proceedings in mathematics & statistics ;$vVolume 394 311 08$aPrint version: Chen, Zhen-Qing Dirichlet Forms and Related Topics Singapore : Springer,c2022 9789811946714 320 $aIncludes bibliographical references and index. 327 $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 -- 4.1 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 -- Hermitizable, 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 -- 3.2 Reflected Diffusions with Jumps. 327 $a3.3 Heat Kernel Estimates for the beta Subscript asterisk Baseline less than or equals beta Superscript asterisk Baseline less than or equals normal infinity?*le?* leinfty in StartSet 0 Subscript plus Baseline EndSet union left parenthesis 0 comma normal infinity right bracket{0+}(0, infty] Case -- 3.4 Discussion on Off-Diagonal Heat Kernel Upper Bound -- 3.5 Example -- References -- On Non-negative Solutions to Space-Time Partial Differential Equations of Higher Order -- 1 Introduction -- 2 An Abstract Problem -- 3 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 -- Analysis on Fractal Spaces and Heat Kernels -- 1 Introduction -- 2 Classical Heat Kernel -- 3 Examples of Fractals -- 4 Dirichlet Forms -- 5 Walk Dimension -- 6 Besov Spaces and Characterization of beta? -- 7 Dichotomy of Self-similar Heat Kernels -- 8 Estimating Heat Kernels: Strongly Local Case -- 9 Estimating Heat Kernels: Jump Case -- 10 Ultra-metric Spaces -- References -- Silverstein Extension and Fukushima Extension -- 1 Introduction -- 2 Silverstein Extensions -- 3 Fukushima Extensions -- 4 Examples of Fukushima Extensions -- 5 Fukushima Subspaces -- 6 Example: Revisit -- References -- Singularity of Energy Measures on a Class of Inhomogeneous Sierpinski Gaskets -- 1 Introduction -- 2 Framework and Statement of Theorems -- 3 Preliminary Lemmas. 327 $a4 Proof of the Main Results -- 5 Concluding Remarks -- References -- On upper L Superscript pLp Liouville Theorems for Dirichlet Forms -- 1 Introduction -- 2 Fukushima's Ergodic Theorem -- 3 Regular Dirichlet Forms and Harmonic Functions -- 3.1 Basic Notions and Intrinsic Metrics -- 3.2 Harmonic Functions -- 4 A Caccioppoli Inequality -- 5 Proof of Yau's and Karp's Theorem and Recurrence -- 5.1 Proof of Yau's and Karp's Theorem -- 5.2 Proof of the Growth Test for Recurrence -- References -- On Singularity of Energy Measures for Symmetric Diffusions with Full Off-Diagonal Heat Kernel Estimates II: Some Borderline Examples -- 1 Introduction -- 2 The Examples: Thin Scale Irregular Sierpi?ski Gaskets -- 3 Space-Time Scale Function upper Psi Subscript bold italic ll and fHKEfHKE left parenthesis upper Psi Subscript bold italic l Baseline right parenthesisfHKE(l) -- 4 Singularity of the Energy Measures -- 5 Realizing Arbitrarily Slow Decay Rates of upper Psi left parenthesis r right parenthesis divided by r squared(r)/r2 -- References -- Scattering Lengths for Additive Functionals and Their Semi-classical Asymptotics -- 1 Introduction -- 2 Scattering Length for Additive Functionals -- 3 Kac's Scattering Length Formula -- 4 Semi-classical Asymptotics for Scattering Length -- References -- Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents -- 1 Introduction -- 2 Preliminaries -- 3 Equivalence of the Strong Feller Properties -- 4 Application to Markov Processes Associated with Lower Bounded Semi-Dirichlet Forms -- References -- Interactions Between Trees and Loops, and Their Representation in Fock Space -- 1 Framework and Definitions -- 2 Interaction Between Tree and Loops -- 3 Fock Spaces -- 4 Local Interaction in Supersymmetric Fock Space -- References -- Remarks on Quasi-regular Dirichlet Subspaces. 327 $a1 Introduction -- 2 Quasi-regular Dirichlet Subspaces -- 3 Quasi-regular Dirichlet Subspaces of Concrete Dirichlet Forms -- 3.1 One-Dimensional Brownian Motion -- 3.2 Multi-dimensional Brownian Motion -- 4 Further Remarks -- References -- Power-Law Dynamic Arising from Machine Learning -- 1 Introduction -- 2 Background and Preliminaries on Power-Law Dynamic -- 2.1 Background in Machine Learning -- 2.2 Preliminaries on Power-Law Dynamic -- 3 Property of the Stationary Distribution -- 4 Existence and Uniqueness of the Stationary Distribution -- 5 First Exit Time: Asymptotic Order -- 6 First Exit Time: From Continuous to Discrete -- References -- Hölder Estimates for Resolvents of Time-Changed Brownian Motions -- 1 Introduction -- 2 Main Results -- 3 Preliminary Lemmas -- 4 Proof of Theorem 1 -- References -- On the Continuity of Half-Plane Capacity with Respect to Carathéodory Convergence -- 1 Introduction -- 2 Study on the Upper Half-Plane -- 2.1 Basic Definitions and Proof of Theorem1 -- 2.2 Strict Monotonicity -- 3 Study on Parallel Slit Half-Planes -- 3.1 BMD Half-Plane Capacity -- 3.2 Markov Chains Induced by BMD -- 3.3 Uniform Regularity of Slit Domains -- 4 Relation to Geometric Function Theory -- 4.1 Half-Plane Capacity and Angular Residue at Infinity -- 4.2 Carathéodory Convergence and Locally Uniform Convergence -- References -- Dyson's Model in Infinite Dimensions Is Irreducible -- 1 Introduction -- 2 The MathID170 m-Labeled Process and the Lyons-Zheng Decomposition -- 3 Proof of Theorems 2 and 3 -- 4 Proof of Theorem 1 -- References -- (Weak) Hardy and Poincaré Inequalities and Criticality Theory -- 1 Introduction -- 2 Preliminaries -- 2.1 Closed Quadratic Forms on upper L squared left parenthesis upper X comma mu right parenthesisL2(X,µ) and upper L Superscript 0 Baseline left parenthesis upper X comma mu right parenthesisL0(X,µ). 327 $a2.2 Extensions of Positivity Preserving Operators -- 3 The Beurling-Deny Criteria, Excessive Functions and Extended Forms -- 3.1 Basics and Excessive Functions -- 3.2 The Extensions q Subscript eqe and q Superscript plusq+ -- 3.3 Invariant Sets and Irreducibilty -- 4 (Very) Weak and Abstract Poincaré and Hardy inequalities -- 5 From Weak Hardy Inequalities to Hardy Inequalities-Subcriticality -- 6 Weak Poincaré Inequalities and Completeness of Extended form Domains -- References -- Maximal Displacement of Branching Symmetric Stable Processes -- 1 Introduction -- 2 Symmetric Stable Processes -- 2.1 Resolvent Asymptotics -- 2.2 Spectral Properties of Schrödinger Type Operators with the Fractional Laplacian -- 2.3 Asymptotic Behaviors of Feynman-Kac Functionals -- 3 Maximal Displacement of Branching Symmetric Stable Processes -- 3.1 Branching Symmetric Stable Processes -- 3.2 Weak Convergence and Tail Asymptotics -- 3.3 Examples -- 4 Proof of Theorem 17 -- References -- Random Riemannian Geometry in 4 Dimensions -- 1 Random Riemannian Geometries and Conformal Invariance -- 2 Paneitz Energy on 4-Dimensional Manifolds -- 3 Co-biharmonic Gaussian Field and Quantum Liouville Measure -- 3.1 Conformally Invariant Gaussian Field -- 3.2 Quantum Liouville Measure -- 4 Approximation by Random Fields and Liouville Measures on the Discrete 4-Torus -- 4.1 The Isotropic Haar System -- 4.2 The Semi-discrete Gaussian Field -- 4.3 The Semi-discrete Liouville Measure -- 4.4 Discrete Random Objects -- References -- Infinite Particle Systems with Hard-Core and Long-Range Interaction -- 1 Introduction -- 2 Preliminaries -- 2.1 Systems of Unlabeled Hard Balls -- 2.2 Systems of Labeled Balls -- 2.3 Skorohod Equation -- 3 Results -- 3.1 Existence of a Weak Solution -- 3.2 Statement of the Results -- 4 Proof of the Main Theorem -- 4.1 Finite Cluster Property. 327 $a4.2 On the Lipschitz Continuity of b Subscript bold italic upper X Superscript double struck upper IbXmathbbI. 410 0$aSpringer proceedings in mathematics & statistics ;$vVolume 394. 606 $aDirichlet forms 606 $aFormes (Matemàtica)$2thub 606 $aProbabilitats$2thub 608 $aHomenatges$2thub 608 $aCongressos$2thub 608 $aLlibres electrònics$2thub 615 0$aDirichlet forms. 615 7$aFormes (Matemàtica) 615 7$aProbabilitats 676 $a519.2 702 $aChen$b Zhen-Qing 702 $aTakeda$b Masayoshi 702 $aUemura$b Toshihiro 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996490348503316 996 $aDirichlet forms and related topics$93005081 997 $aUNISA LEADER 04732oam 22011894 450 001 9910788224203321 005 20230721045737.0 010 $a1-4623-8401-3 010 $a1-4527-8234-2 010 $a1-282-84433-4 010 $a9786612844331 010 $a1-4518-7379-4 035 $a(CKB)3170000000055376 035 $a(SSID)ssj0000942133 035 $a(PQKBManifestationID)11474021 035 $a(PQKBTitleCode)TC0000942133 035 $a(PQKBWorkID)10972273 035 $a(PQKB)11052144 035 $a(OCoLC)680613602 035 $a(MiAaPQ)EBC1608856 035 $a(IMF)WPIEE2009232 035 $a(EXLCZ)993170000000055376 100 $a20020129d2009 uf 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMonetary Policy and the Lost Decade : $eLessons from Japan /$fDaniel Leigh 210 1$aWashington, D.C. :$cInternational Monetary Fund,$d2009. 215 $a33 p. $cill 225 1 $aIMF Working Papers 300 $a"October 2009." 311 $a1-4519-1797-X 330 3 $aThis paper investigates how monetary policy can help ward off a protracted deflationary slump when policy rates are near the zero bound by studying the experience of Japan during the "Lost Decade" which followed the asset-price bubble collapse in the early 1990s. Estimation results based on a structural model suggest that the Bank of Japan's interest-rate policy fits a conventional forward-looking reaction function with an inflation target of about 1 percent. The disappointing economic performance thus seems primarily due to a series of adverse economic shocks rather than an extraordinary policy error. In addition, counterfactual policy simulations based on the estimated structural model suggest that simply raising the inflation target would not have yielded a lasting improvement in performance. However, a price-targeting rule or a policy rule that combined a higher inflation target with a more aggressive response to output would have achieved superior stabilization results. 410 0$aIMF Working Papers; Working Paper ;$vNo. 2009/232 606 $aMonetary policy$zJapan$xEconometric models 606 $aDeflation (Finance)$zJapan$xEconometric models 606 $aAnti-inflationary policies$zJapan$xEconometric models 606 $aBanks and Banking$2imf 606 $aInflation$2imf 606 $aMoney and Monetary Policy$2imf 606 $aProduction and Operations Management$2imf 606 $aMonetary Policy$2imf 606 $aPrice Level$2imf 606 $aDeflation$2imf 606 $aMacroeconomics: Production$2imf 606 $aInterest Rates: Determination, Term Structure, and Effects$2imf 606 $aBanks$2imf 606 $aDepository Institutions$2imf 606 $aMicro Finance Institutions$2imf 606 $aMortgages$2imf 606 $aMonetary economics$2imf 606 $aMacroeconomics$2imf 606 $aBanking$2imf 606 $aInflation targeting$2imf 606 $aOutput gap$2imf 606 $aCentral bank policy rate$2imf 606 $aMonetary policy$2imf 606 $aPrices$2imf 606 $aProduction$2imf 606 $aEconomic theory$2imf 606 $aInterest rates$2imf 606 $aBanks and banking$2imf 607 $aJapan$xEconomic conditions$y1989- 607 $aJapan$xEconomic policy$y1989- 607 $aJapan$2imf 615 0$aMonetary policy$xEconometric models. 615 0$aDeflation (Finance)$xEconometric models. 615 0$aAnti-inflationary policies$xEconometric models. 615 7$aBanks and Banking 615 7$aInflation 615 7$aMoney and Monetary Policy 615 7$aProduction and Operations Management 615 7$aMonetary Policy 615 7$aPrice Level 615 7$aDeflation 615 7$aMacroeconomics: Production 615 7$aInterest Rates: Determination, Term Structure, and Effects 615 7$aBanks 615 7$aDepository Institutions 615 7$aMicro Finance Institutions 615 7$aMortgages 615 7$aMonetary economics 615 7$aMacroeconomics 615 7$aBanking 615 7$aInflation targeting 615 7$aOutput gap 615 7$aCentral bank policy rate 615 7$aMonetary policy 615 7$aPrices 615 7$aProduction 615 7$aEconomic theory 615 7$aInterest rates 615 7$aBanks and banking 700 $aLeigh$b Daniel$01462093 712 02$aInternational Monetary Fund.$bResearch Dept. 801 0$bDcWaIMF 906 $aBOOK 912 $a9910788224203321 996 $aMonetary Policy and the Lost Decade$93741546 997 $aUNINA