Infinite dimensional analysis, quantum probability and applications : QP41 Conference, Al Ain, UAE, March 28-April 1, 2021 / / Luigi Accardi, Farrukh Mukhamedov, and Ahmed Al Rawashdeh

• Record Nr.: UNINA9910616210003321
• Autore: Accardi Luigi
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer International Publishing, , [2022]; ©2022
• ISBN: 3-031-06170-5
• Descrizione fisica: 1 online resource (369 pages)
• Collana: Springer Proceedings in Mathematics & Statistics
• Disciplina: 530.8
• Soggetti: Dimensional analysis; Probabilities; Anàlisi dimensional; Probabilitats; Teoria quàntica; Congressos; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- Organization -- Preface -- Contents -- Part I Quantum Probability Methods -- The Non-linear and Quadratic Quantization Programs -- 1 Introduction -- 1.1 Quadratic Quantization -- 2 Some Properties of *-Lie Algebras -- 2.1 The Complex d-Dimensional Heisenberg Algebra: heis1,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 2.2 The Complex d-Dimensional Quadratic Heisenberg Algebra heis2,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 3 The Symplectic Approach to Homogeneous Quadratic Boson Fields -- 3.1 The *-Lie Algebra of Homogeneous Quadratic Boson Fields -- 3.2 Identification of the *-Lie Algebra of Homogeneous Quadratic Boson Fields with heis2,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 3.3 Central Decomposition of heis2,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900): heis2,d,cls(0=Ctoheight0.900 0=Ctoheight0.900 ; 0=Ctoheight0.900 0=Ctoheight0.900) -- 4 The Complex Symplectic *-Lie Algebra sp(2d, 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 4.1 The Involution on sp(2d, 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) : sp(2d, 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 4.2 *-Isomorphism Between heis2,d, cls(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) and sp(2d,0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) -- 4.3 The Isomorphism Between heis2,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) and sp(2d, 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) : Direct Proof -- 5 Real Lie Sub-algebras of heis2,d(0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) and spskew,(2d,0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900).; 5.1 Real *-Lie Algebra-Isomorphism Between spskew,(2d,0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900 0=Ctoheight0.900) and sp-(2d,IR) -- 6 Vacuum Averages -- 7 Lie Groups Associated with the Symplectic Algebra -- 7.1 The Siegel Unit Disk -- 7.2 The Metaplectic Group -- 7.3 The Abstract Symplectic Algebra and Its Lie Groups -- 8 The Problems of Diagonalizability and Vacuum Factorizability -- 8.1 Diagonalizability and Factorizability of Quadratic Fields -- 8.2 Diagonalizability Implies Vacuum-Factorizability -- References -- A Pedagogical Note on the Computation of Relative Entropy of Two n-Mode Gaussian States -- 1 Introduction -- 2 Preliminary Concepts on Gaussian States -- 3 Williamson's Theorem Applied to n-Mode Gaussian Covariance Matrix -- 4 Structure Theorem for n-Mode Gaussian States -- 5 Relative Entropy S(ρvertvertσ) of Two Gaussian States -- 6 Petz-Rényi Relative Entropy Sα(ρvertvertσ), 0&lt -- α&lt -- 1 of Two Gaussian States -- References -- Quantum Operators of the Semicircle Distributions -- 1 Introduction -- 2 Background -- 3 Position-(0-Momentum) Decomposition of the Semicircle Distributions -- References -- Quantum Probability for Modeling Cognition, Decision Making, and Artificial Intelligence -- 1 Introduction -- 2 Classical Versus Quantum Probability -- 2.1 Interference of Probabilities -- 2.2 Bayesian Versus Non-Bayesian Inference -- 3 Quantum-Like Paradigm -- 4 Paradoxes of CP Decision Theory and Their QP Resolution -- 5 Quantum Scheme of Decision Making -- 6 Interference in Decision Making -- 6.1 Savage Sure Thing Principle as the Rationality Axiom -- 6.2 Is CP-Irrationality Just QP-Rationality? -- 6.3 Logic and Rationality -- 6.4 Social Laser -- 7 Quantum-Like AI -- References -- Part II Quantum Information Methods -- Note on Complexity of Communication Processes -- 1 Introduction -- 2 Quantum Channels.; 2.1 Quantum Communication Processes -- 3 Entropy and Mutual Entropy for General Quantum Systems -- 4 Compound States -- 5 Conclusion -- References -- Trace Decreasing Quantum Dynamical Maps: Divisibility and Entanglement Dynamics -- 1 Introduction -- 2 Trace Distance Approach to Non-Markovianity -- 3 System-Ancilla Entanglement Dynamics -- 4 Generalized Erasure Dynamics -- 5 Conclusions -- References -- Compound State, Its Conditionality and Quantum Mutual Information -- 1 Introduction -- 2 Quantum Compound States and CP Maps -- 2.1 Preliminaries -- 2.2 Duality Between Quantum States and Linear Maps, and Their Classification -- 2.3 Quantum Compound State Versus Classical Joint Probability -- 3 Quantum Mutual Information on Quantum Bayes Formula -- 3.1 Compound State via Choi-Jamiołkowski Isomorphism -- 3.2 Quantum Mutual Information via Quantum Channel πast -- 4 Conclusions -- ; References -- Block Markov Chains on Trees -- 1 Introduction -- 2 Rooted Trees -- 3 Some Reminders on Markov Fields -- 4 Structure of Block Markov Chains on Trees -- 5 Connection with MCs and MRFs -- 6 One-Dimensional BMC -- 7 Counter-Example -- 8 Conclusion -- References -- Part III Quantum Dynamical Systems -- Hilbert von Neumann Modules Versus Concrete von Neumann Modules -- 1 Von Neumann Modules: Comparison -- 2 Self-duality -- 3 Von Neumann Correspondences, Connes Correspondences, and Their Tensor Products -- References -- Absorption and Fixed Points for Semigroups of Quantum Channels -- 1 Introduction -- 2 Preliminaries on Semigroups of Quantum Channels -- 3 Absorption Operators to Describe Fixed Points -- 4 Reducibility of Recurrent Semigroups -- References -- Characterization of Gaussian Quantum Markov Semigroups -- 1 Introduction -- 2 Gaussian States -- 3 Gaussian Maps -- 4 Gaussian Quantum Markov Semigroups -- References -- A Mean-Field Laser Quantum Master Equation.; 1 Introduction -- 2 The Quantum Master Equation -- 3 Quantum Hopf Bifurcation -- 3.1 Long-Time Behaviour -- 4 Conclusions and Outlook -- References -- Unique Ergodicity and Weakly Monotone Fock Space -- 1 Introduction -- 2 Preliminaries -- 3 Weakly Monotone Fock Space -- 4 Shift-Invariant States on Weakly Monotone upper C Superscript asteriskC*-Algebra -- References -- Part IV Infinite Dimensional Analysis -- Solutions of Infinite Dimensional Partial Differential Equations -- 1 Introduction and Background -- 1.1 Young Functions -- 1.2 Functional Spaces -- 1.3 Formal Power Series Spaces -- 1.4 Taylor Map -- 1.5 Laplace Transform -- 2 Convolution Calculus -- 2.1 Convolution of Two Distributions -- 2.2 White Noise Gel'fand Triple -- 2.3 Convolution Functionals -- 3 Initial-Valued Evolution Equation -- 3.1 Main Theorem -- 4 Gross Laplacian -- 4.1 Gross Laplacian as a Convolution Operator -- 5 Concluding Remarks -- 5.1 Interpretation of the Solutions of the Evolution Equation -- 5.2 Heat Equation Associated to the Gross Laplacian -- References -- On Some Properties of Solution Sets of Discontinuous Quantum Stochastic Differential Inclusions -- 1 Introduction -- 2 Notations and Fundamental Structures -- 3 Preliminary Results and Assumptions -- 4 Main Result -- References -- Fractional Operators from Vanishing Morrey to Vanishing Campanato Spaces in the Variable Exponent Setting on Quasi-metric Measure Spaces -- 1 Introduction -- 2 Preliminaries -- 2.1 Quasi-metric Measure Spaces -- 2.2 Variable Exponent Spaces -- 3 Boundedness Result -- References -- Part V Operator Algebras -- Characterization of Certain Traces on von Neumann Algebras -- 1 Introduction -- 2 Definitions and Notation -- 3 Trace Characterization on upper C Superscript asteriskC*-Algebras -- References -- Actions of *-Morphisms on Certain Projections of C*-Matrix Algebras -- 1 Introduction.; 2 Preliminaries -- 3 Actions of *-Morphisms on Pi,j(a) -- References -- Part VI Stochastic Operators -- Compatible Linear Lypunov Function for Infinite Dimensional Volterra Quadratic Stochastic Operators -- 1 Introduction -- 2 Main Results -- References -- Bijectivity of a Class of Lotka-Volterra Operators Defined on 2D-Simplex -- 1 Introduction -- 2 Preliminaries -- 3 Main Result -- 4 Conclusion -- References -- Dynamics of Stochastic Cesaro Operators -- 1 Introduction -- 2 Nonlinear Stochastic Operators Generated by Linear Ones -- 3 Riesz Stochastic Operators -- 4 Cesaro Operators -- References -- The Dynamics of a Volterra Cubic Operator -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- References -- The Dynamics of Superposition of Non-Volterra Quadratic Stochastic Operators on upper S squaredS2 -- 1 Introduction -- 2 Preliminaries -- 3 Superposition of ; Operators -- 4 Notes and Comments -- References -- A Quadratic Worm Propagation Model -- 1 Introduction -- 2 Preliminaries -- 3 Discrete Time SIR-models -- References -- Author Index.

Using accounting & financial information : analyzing, forecasting & decision making / / Mark S. Bettner

• Record Nr.: UNINA9910826319903321
• Autore: Bettner Mark S.
• Pubbl/distr/stampa: New York, New York (222 East 46th Street, New York, NY 10017) : , : Business Expert Press, , 2015
• ISBN: 1-60649-641-7
• Edizione: [First edition.]
• Descrizione fisica: 1 online resource (152 p.)
• Collana: Financial accounting and auditing collection, , 2151-2817
• Disciplina: 657
• Soggetti: Accounting; Financial statements
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Includes index.
• Nota di contenuto: 1. Users of accounting & financial information -- 2. Corporate financial statements -- 3. Accrual & deferral timing differences -- 4. Financial statement analysis -- 5. Long-term financial forecasting -- 6. Operating budgets -- 7. Cost-volume-profit relationships -- 8. Capital budgeting -- Index.
• Sommario/riassunto: Accounting often is referred to as the language of business; unfortunately, many business professionals lack the fluency in this unique language required to perform basic financial analysis, prepare budgetary forecasts, or compare competing capital investment alternatives. And while there is no shortage of financial-related textbooks or reference manuals, most assume that readers have educational backgrounds - and/or have had years of professional experience - in accounting, financial analysis, or corporate finance. This book targets professionals with limited exposure to - or formal training in - accounting or related finance disciplines. These individuals often include - but certainly are not limited to - engineers, information technology specialists, retail managers, entrepreneurs, marketing directors, construction contractors, attorneys, and even bankers who ; are making career transitions from consumer lending positions to become commercial loan officers. The primary purpose of this book is to help managers and business owners from diverse professional and educational backgrounds to: (1) converse more effectively with their accounting and finance colleagues; (2) understand the structure and the elements of general-purpose financial statements, (3) identify both the usefulness and the limitations of accounting information; (4) prepare basic financial forecasts; and (5) make sense of commonly used decision-making models.