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Methods Of Modern Mathematical Physics
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Citations
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Book
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Georges Bastin,Jean-Michel Coron +1 more
TL;DR: In this paper, the authors explore the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations and demonstrate the use of Lyapunov functions in this type of analysis.
Book
Quantization on Nilpotent Lie Groups
TL;DR: In this article, the authors provide a survey of quantization on compact Lie groups and homogeneous Lie groups, including pseudo-differential operators on the Heisenberg group, Schrodinger representations and Weyl quantization.
Journal ArticleDOI
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szilárd Szalay,Max Pfeffer,Valentin Murg,Gergely Barcza,Frank Verstraete,Reinhold Schneider,Örs Legeza +6 more
TL;DR: A pedagogical introduction to the theoretical background of this novel field of entanglement and the underlying benefits through numerical applications on a text book example are demonstrated.
Proceedings Article
Towards a Learning Theory of Cause-Effect Inference
TL;DR: This work poses causal inference as the problem of learning to classify probability distributions, and extends the ideas to infer causal relationships between more than two variables.
Journal ArticleDOI
Mathematical and physical aspects of complex symmetric operators
TL;DR: The main themes of the survey are: the structure of complex symmetric operators, C-selfadjoint extensions of C-symmetric unbounded operators, resolvent estimates, reality of spectrum, bases ofC-orthonormal vectors and conjugate-linear symmetric operator.
References
More filters
Book
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Georges Bastin,Jean-Michel Coron +1 more
TL;DR: In this paper, the authors explore the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations and demonstrate the use of Lyapunov functions in this type of analysis.
Book
Quantization on Nilpotent Lie Groups
TL;DR: In this article, the authors provide a survey of quantization on compact Lie groups and homogeneous Lie groups, including pseudo-differential operators on the Heisenberg group, Schrodinger representations and Weyl quantization.
Journal ArticleDOI
The One-Dimensional KPZ Equation and Its Universality Class
Jeremy Quastel,Herbert Spohn +1 more
TL;DR: In this article, the authors provide a non-technical review of the one-dimensional KPZ equation, alias noisy Burgers equation, where they limit themselves to the stochastic PDE and lattice type models approximating it.
Journal ArticleDOI
An overview of periodic elliptic operators
TL;DR: In this article, the main techniques and results of the spectral theory of periodic operators arising in mathematical physics and other areas are surveyed and a wide variety of elliptic periodic equations and systems, equations on graphs, ∂-operator, and other operators on abelian coverings of compact bases.
Journal ArticleDOI
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szilárd Szalay,Max Pfeffer,Valentin Murg,Gergely Barcza,Frank Verstraete,Reinhold Schneider,Örs Legeza +6 more
TL;DR: A pedagogical introduction to the theoretical background of this novel field of entanglement and the underlying benefits through numerical applications on a text book example are demonstrated.