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- 要約等...matical frames in which a simple......en carried out in the process of......ical) formulas in enumerative combinatorics, theory......eory, study of integrable system......and so on. Originating from the pape......anics models using the theta fun......e formulas obtained at the q-lev......elliptic level in many research fields in mathematics and theoretical physics. In the present mo......tic extensions in the study of s......chastic models in equilibrium an......ions are used, including Jacobi's thet......nograph is not intended to be a ......n of the four kinds of Jacobi's ......ons, written using a polynomial of the argument...
- 関連情報Springer briefs in mathematical physics
- 掲載誌Springer briefs in mathematical physics
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- 要約等This book explains the mathemati......from the viewpoints of functional and infinite-dimensional......nalysis. The main mathematical objects are infinite-dimensional......rchers who are interested in mathematical a......uantum fields, including supersymmetric ones, and infinite-dimensional......at some models in the SQFT have in common, and th......bject are that in physics litera...... may be ill-defined mathematical......mathematical point of view, howe......cts related to infinite-dimensional......hen study them in detail. The bo......ysis developed in the book also ......ood example of infinite-dimensional analysis from ...
- 内容細目...ators 4.3.1 Definitions and Basi......s 4.3.2 A Cochain Complex 4.4 Operators in the Q-space Re......mplex 4.5.1 Definitions and Basi...... Operators of Finite Order and d......S(F) 4.12 Path Integral Representation of the Index of QS,+(F) 4.12.1 Path Integral Represen......ns of Pure Imaginary Time Correl...... Fields 4.12.2 Index Formula 5 Models in Supersymmetric......eory 5.1 Preliminaries 5.1.1 Mom......antum Particle in Tell 5.1.2 The......ree Quantum Klein-Gordon Field o......he N=1 Wess-Zumino Model on Mell......Case 5.2.2 The Interacting Case 5.3 The N=2 Wess-Zumino Model on Mell......dix A Self-adjoint Extensions of a Symmetric Op...
- 件名Quantum field theory--Mathematics Quantum field theory--Mathematics.
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- 要約等...nables considering any positive ......ry of research in this field is ......, with its origins dating back to Leibniz. Since then, many g......henomena depending both on spati......ations for solving real-world pr......lous diffusion in heterogeneous ......tions have continued to expand e......till complete. In particular, op......approaches are indispensable for...... not available in monographs. To......we are restricting it to a few f......quations, forgoing many other im......rtant and exciting topics such a......bility for nonlinear problems. H......rks well as an introduction to m......tical research in such vast fields
- 内容細目...rentiation and integration Chapter 2: Definition of fracti......al derivatives in Sobolev spaces...... Fractional ordinary differentia......ons Chapter 4: Initial boundary ......pter 6: Concluding remarks on future works
- 件名...real variables Integral equation......eal variables. Integral equations.
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- 関連情報Springer briefs in mathematical physics
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- 要約等...l achievements in analysis of se......e analytic continuation and the ......f sets, to settings in which the q-pseudoconvexity in the sense of Rothstein and the q-convexity in the sense of G......role. After giving a brief surve......n analytic continuation related ......o them. Rothstein (1955) first introduced q-pseudoconvexity using generalized H......wski (1986) defined q-pseudoconv......urisubharmonic in the sense of H...... graphs of continuous surfaces w......seudoconvex is investigated. As ......(1909), Shcherbina (1993), and C......udoconcave continuous real hyper......ization is obtained by a completely different a...
- 件名Analytic continuation Prolongement analytique Analytic continuation.
- 関連情報SpringerBriefs in mathematics
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- 要約等In mathematical p......one of the fascinating issues is the study of integrable systems. In particular, no......ed significant insight for real ......two notions of integrability: classical integrability and quantum integrability. In this book, the......mer, classical integrability. Wh...... system has a finite number of d...... of freedom is infinite, as in classical fiel...... theories, the integrable struct......ed profoundly. In fact, the stud......of classically integrable field ......y and various kinds of techniques, including the classical inverse scattering method, which......eloped so far. In previously published books, t...
- タイトル標目SpringerBriefs in mathematical physics ; v. 40....
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- 要約等...raic varieties initiated by Shig...... spaces. The main purpose of thi......ture is proved in some special and interesting cases. A rela...... by Birkar-Cascini-Hacon-McKerna......curves is explained. Finally, the subad......one is proved. In this book, for the reader's c...
- 内容細目Intro Preface Ack......ram? 1.2 The Main Results 1.3 Hi......rences 2 Preliminaries 2.1 Notations, Terminology, and Conv......ites 2.3 Preliminary Results 2.3.1 Basic Definitions 2.3.2 Ii......ness and Vanishing Theorem 2.3.6......arieties 2.3.7 Invariance of Plu......er Has a Good Minimal Model 4.5.......aka Conjecture in Positive Chara......eristic 5 overlineCn, n-1 Revisi......ground of overlineCn, n-1 5.2 overlineCn, n-1 5.3 So......onjecture overlineCn, m for Affine Varieties, an......endix: A Vanishing Lemma 6 Appen......dix References Index.
- 件名...raic geometry. Mathematics--Mathematical Analysis. Mathematics--Algebra--Abstract. Mathematics--Geometry--Algebraic.
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- 要約等Rich information-theoretic structure in out-of-equilib......ynamics exists in both the class......m regimes, leading to the fruitful interplay among s......ysics, quantum information theor...... theory. The main purpose of thi......to clarify how information theory works behind thermodynamic......on both purely information-theor......mathematical point of view, rigo...... are presented in a self-contained manner. From......hermodynamics. In particular, re......nch of quantum information theor......es" and has an intrinsic connection ......ental ideas of mathematics and information theor......s as a concise introduction to important ingred...
- 件名Thermodynamics--Mathematics Thermodynamique--Mathématiques Thermodynamics--Mathematics.
- タイトル標目SpringerBriefs in mathematical physics ; v. 16....
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- 要約等...more generally in extremal Kähler cases. In this book, the......important tool in our approach i...... the Chow norm introduced by Zha......ly related to Ding's functional,......a crucial role in our differenti......ity. By discussing the Chow norm......from various points of view, we shall make a sy...
- 内容細目Introduction The ......naldson-Futaki invariant Canonical Kähler metr...
- 件名...ial Manifolds (Mathematics) Invariants Moduli...... Differential. Invariants. Moduli theory.
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- 要約等In this book, the......absolutely continuous stochastic......ses with fixed initial and terminal distribution......ibed is Schrödinger's problem, which is originally a variatio......lks with fixed initial and terminal distribution...... (SOT) is then introduced as a g......em for semimartingales with fixed initial and terminal distributions. An interpretation of......tion of Schrödinger's problem. ......fter the brief introduction abov......problem to be finite, forward ac......(SDE) for the minimizer, and so ......uperposition principle plays a crucial role in the SOT. A sys......atic method is introduced to consider two probl...
- タイトル標目SpringerBriefs in mathematics, 2191-8198
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- 要約等...ewicz gradient inequality (1963)...... (1983) to the infinite-dimensional setting, now called t......Simon gradient inequality. This ...... form by utilizing this Łojasiew......Simon gradient inequality. In order to apply......f concrete nonlinear parabolic e......asiewicz-Simon inequality is ext......he first time. In the second ver......ns with discontinuous coefficients, reaction-di...
- 内容細目1. Preliminary 2. Asymptotic Convergence 3. Extended Łojasiewicz-Simon Gradient Inequality
- 関連情報SpringerBriefs in mathematics
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- 要約等...on of the book in Japanese, publ...... the volume 20 in the series of Seminar Notes from T......nihiko Kodaira in 1967. It serve......most self-contained introduction to t......raic surfaces, including concise proofs of Gorenstein's theorem for ......also at anyone interested in algebraic surfaces, and reade...
- 内容細目Intro Foreword Preface Introduction (Pur...... Divisors and Linear Systems 1.3 Intersection Mult......tion 2.6 Vanishing Theorems 2.7 Composition Ser...
- 件名...braic geometry Mathematics--Mathematical Analysis Mathematics--Geometry--Algebraic
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- 要約等This second volume continues the study o......tions by utilizing the theory of......Simon gradient inequality. In the first volu......tle, after setting the abstract ......, and gradient inequality. In this volume, w......ussion of semilinear parabolic e......f second order in general n-dime......evoted to treating epitaxial gro......h order, which incorporate general roughening functions. In Chapter 5 cons......egel equations in one-, two-, an......ready been obtained and publishe...... by the author in collaboration ......eory described in the first volume, those resul...
- 内容細目Preliminaries Review of Abstract Resul...
- 関連情報SpringerBriefs in mathematics
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- 要約等... such as the Painlevé and Garni......t class of nonlinear differential equations in mathematics and mathematic......hese equations in particular, mu...... has been made in recent decades......e known: the Painlevé test/ Painlevé property, reduction of integrable hierar......é method explained in this book prov......hose equations in both continuous and discre...... approximation/interpolation sup...... consider the linear differentia...... and f(x)Q(x). In choosing the suitable ...... problem, the linear differentia......stematic study including discrete case......ltaneously obtain various result......uch as the nonlinear evolution equation, its La...
- 件名Padé approximant Painlevé equations Padé approximant. Painlevé equations.
- 関連情報Springer briefs in mathematical physics
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- 要約等...theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coh......ut that the DT invariants have many interesting properties and appear in several contex...... on curve-counting theories, wall-crossing in derived catego......BPS state counting in string theory, and o......ich lead to refined versions of DT invariants such a......homological DT invariants. The i......homological DT invariants led to......athematical definition of the GopakumarVafa invariant, which ...... GopakumarVafa in 1998, but its ......athematical definition has not b......progress on DT invariants and related topics, w...
- 件名Donaldson-Thomas invariants Invariants de Donaldson-Thomas Donaldson-Thomas invariants.
- タイトル標目SpringerBriefs in mathematical physics ; v. 43
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- 要約等...en algorithmic information theor......s. Algorithmic information theor......for characterizing the notion of......domness for an individual object and for studying it closely an......mprehensively. In this book, a s......cal mechanical interpretation of AIT is introduced while explaining the basic not......ho has an acquaintance with an e......ion of the setting of AIT is the......less source coding in information theory. First, in the book, a st......cal mechanical interpretation of......less source coding scheme is introduced. It ca......at the notions in statistical me......are translated into the context of noiseless so...
- 内容細目...refix-Free Machine; 6 Statistica......Mechanical Meaning of the Thermo......cal Mechanical Interpretation of......etic Treatment in Computability Theory8.2 Turing Machine Computing a Prefix-Free Machine; 8.3 Reducibility in Query Size f; ......20; 8.7 Concluding Remarks; 9 Ot......rty of Fixed Points by Statistical Mechanical T...
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- 要約等"This volume contains the notes originally made by Kenkichi Iwasawa in his own handwriting for his lecture course at Princeton University in 1964. These no...... number field, including the proof of analytic continuation, the fun......er formula arising from the Dedekind zeta function......was discovered independently by ...... marked the beginning of the whole ......’s thesis at Princeton in 1950 was finally published in 1967 in the volume Alg......this volume is intended to fill the gap in the literature......number theory. In the final chapter, Iwa......elegantly explains some important classical res...
- 一般注記...re course at Princeton University, Spring 1964; foreward by John Coate...
- タイトル標目SpringerBriefs in mathematics.
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- 要約等This book provides self-contained proofs of th......tes of several interaction models in quantum field theory. Interaction model......discussed here include the spin-boson model, t...... approximation in non-relativist......odels describe interactions betw......nd state is defined as the eigen...... of a self-adjoint operator describing the Hamiltoni......wever embedded in the continuum and then it...... ground states in non-perturbati......del, and the spin-boson model, and several kinds of proofs of...... provided. Key ingredients are c......pact operators in Hilbert spaces......also enhanced binding. The enhanced binding mea...
- 内容細目...eReferences; ; Index
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- タイトル標目SpringerBriefs in mathematics, 2191-8198
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- 要約等...on the subject including a brief histo...... quantum group in the Drinfeld realizatio......ction of both finite and infinite-dimensional......x operators as intertwining operators of ......ortant objects in representation......uantum groups. In this book, the......hypergeometric integral solutions. In particular, th......nctions appear in such solutions......lopes for certain equivariant el......ach to quantum integrable system...... a rapidly growing topic in mathematical p......etween quantum integrable system......cohomology. To invite the reader to such topics...
- 内容細目...nts Chapter 1: Introduction Chapter 2: Elliptic...
- タイトル標目SpringerBriefs in mathematical physics ; v. 37