Ebook: Mathematical Physics, Spectral Theory and Stochastic Analysis
- Tags: Partial Differential Equations, Operator Theory, Probability Theory and Stochastic Processes
- Series: Operator Theory: Advances and Applications 232
- Year: 2013
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
Content:
Front Matter....Pages i-vii
A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains....Pages 1-106
Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches....Pages 107-163
Solvable Models of Resonances and Decays....Pages 165-227
Localization for Random BlockOp erators....Pages 229-246
Magnetic Relativistic Schr?dinger Operators and Imaginary-time Path Integrals....Pages 247-297
Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives....Pages 299-339
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
Content:
Front Matter....Pages i-vii
A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains....Pages 1-106
Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches....Pages 107-163
Solvable Models of Resonances and Decays....Pages 165-227
Localization for Random BlockOp erators....Pages 229-246
Magnetic Relativistic Schr?dinger Operators and Imaginary-time Path Integrals....Pages 247-297
Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives....Pages 299-339
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