LEADER 01256nam0 22003013i 450 001 SUN0099699 005 20161107123641.390 010 $d0.00 100 $a20141105d1969 |0gerc50 ba 101 $ager 102 $aDE 105 $a|||| ||||| 200 1 $aQuod interest im bonae-fidei-iudicium$estudien zum römischen Schadensersatzrecht$fHeinrich Honsell 205 $aMünchen : Beck$b1969 210 $aXIV$d186 p. ; 24 cm 215 $aBiblioteca Lauria. 410 1$1001SUN0013323$12001 $aMünchener Beiträge zur Papyrusforschung und antiken Rechtsgeschichte$v55$1210 $aMünchen$cBeck. 606 $aRisarcimento dei danni$xDiritto romano$2SG$3SUNC030246 620 $dMünchen$3SUNL001057 676 $a349.737$v22 700 1$aHonsell$b, Heinrich$3SUNV046514$0229735 712 $aBeck$3SUNV001176$4650 801 $aIT$bSOL$c20181109$gRICA 912 $aSUN0099699 950 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA$d00 CONS BL.900M.959 55 $e00 BL 1625 SLP 995 $aUFFICIO DI BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA$gBL$h1625$kCONS BL.900M.959 55 SLP$op$qa 996 $aQuod interest im Bonae fidei iudicium$9704093 997 $aUNICAMPANIA 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 04335nam 22007455 450 001 9910512163203321 005 20251113181038.0 010 $a3-030-77375-2 024 7 $a10.1007/978-3-030-77375-5 035 $a(MiAaPQ)EBC6824927 035 $a(Au-PeEL)EBL6824927 035 $a(CKB)20094253700041 035 $a(PPN)259386618 035 $a(OCoLC)1288170591 035 $a(DE-He213)978-3-030-77375-5 035 $a(EXLCZ)9920094253700041 100 $a20211209d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAstrocytes in Psychiatric Disorders /$fedited by Baoman Li, Vladimir Parpura, Alexei Verkhratsky, Caterina Scuderi 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (368 pages) 225 1 $aAdvances in Neurobiology,$x2190-5223 ;$v26 311 08$aPrint version: Li, Baoman Astrocytes in Psychiatric Disorders Cham : Springer International Publishing AG,c2022 9783030773748 320 $aIncludes bibliographical references and index. 327 $aIntroduction: Neuroglia in psychiatric disorders -- Chapter 1. Astrocytes: The housekeepers and guardians of the CNS -- Chapter 2. Principles of astrogliopathology -- Chapter 3. Morphological appearance of astroglia in neuropsychiatric disorders -- Chapter 4. Astrocytes and neurotransmission: Glutamate and GABA in cognitive and mood disorders -- Chapter 5. Astroglia in bipolar disorder -- Chapter 6. Astroglia abnormalities in mood disorders -- Chapter 7. Astroglia in major depression and suicide -- Chapter 8. Neuroglia in Schizophrenia -- Chapter 9. Glutamate turnover in Schizophrenia -- Chapter 10. Astroglia and dopanime transmission in Schizophrenia -- Chapter 11. Kynurenic acid in Schyzophrenia -- Chapter 12. Astrocytes in addictive disorders -- Chapter 13. Astroglia in the vulnerability and maintenance of alcohol dependence -- Chapter 14. Astroglia in response to stress -- Chapter 15. Astroglia and Obsessive compulsive disorder -- Chapter 16. Astrocytes in regulation of food intake -- Chapter 17. Astrocytes in anorexia nervosa -- Chapter 18. Astroglial serotonin receptors as the central target of classic antidepressants -- Chapter 19. Lithium targets astrocytes -- Epilogue. 330 $aThis contributed volume discusses the multiple roles of astrocytes, which determine the progression and outcome of neuropsychiatric diseases. This emerging area of study examines the ways in which astrocytes are involved in various aspects of disease initiation, progression and resolution. This monograph aims to integrate the body of information that has accumulated in recent years revealing the active role of astrocytes in neuropsychiatric pathology and in psychiatric disorders. Understanding roles of astrocytes in pathology will provide new targets for medical intervention and aid the development of much needed therapeutics. This book will be valuable for researchers and workers in the fields of neurobiology, neurology, and psychiatry, as well as fill the need for a textbook used in advanced courses/graduate seminars in glial pathophysiology. 410 0$aAdvances in Neurobiology,$x2190-5223 ;$v26 606 $aNeurosciences 606 $aNervous system$xDiseases 606 $aNeurology 606 $aNeurophysiology 606 $aNeuropsychology 606 $aNeurons 606 $aNeuroscience 606 $aNeurological Disorders 606 $aNeurology 606 $aNeurophysiology 606 $aNeuropsychology 606 $aCellular Neuroscience 615 0$aNeurosciences. 615 0$aNervous system$xDiseases. 615 0$aNeurology. 615 0$aNeurophysiology. 615 0$aNeuropsychology. 615 0$aNeurons. 615 14$aNeuroscience. 615 24$aNeurological Disorders. 615 24$aNeurology. 615 24$aNeurophysiology. 615 24$aNeuropsychology. 615 24$aCellular Neuroscience. 676 $a616.8 702 $aLi$b Baoman 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910512163203321 996 $aAstrocytes in psychiatric disorders$92908506 997 $aUNINA