Results 21 to 30 of about 74,838 (223)

Local Hypoellipticity by Lyapunov Function

Abstract and Applied Analysis, 2016
We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators: Lj=∂/∂tj+(∂ϕ/∂tj)(t,A)A, j=1,2,…,n, where A:D(A)⊂H→H is a self-adjoint linear ...
E. R. Aragão-Costa
doaj   +1 more source

Singular Value Decomposition of Operators on Reproducing Kernel Hilbert Spaces

, 2020
Reproducing kernel Hilbert spaces (RKHSs) play an important role in many statistics and machine learning applications ranging from support vector machines to Gaussian processes and kernel embeddings of distributions.
A Berlinet, A Lasota, B Schölkopf, C Baker, G Froyland, GH Golub, H Engl, I Mezić, I Steinwart, J Shawe-Taylor, J Weidmann, K Fukumizu, K Muandet, M Reed, N Aronszajn, P Koltai, R Eubank, S Klus, S Klus, S Klus, T Kato, T Melzer   +21 more
core   +1 more source

Quantum dynamics of the polarized Gowdy T 3 model [PDF]

, 2002
The polarized Gowdy ${\bf T}^3$ vacuum spacetimes are characterized, modulo gauge, by a ``point particle'' degree of freedom and a function $\phi$ that satisfies a linear field equation and a non-linear constraint.
C. Torre
semanticscholar   +1 more source

Hilbert Space Structures on the Solution Space of Klein-Gordon Type Evolution Equations [PDF]

, 2002
We use the theory of pseudo-Hermitian operators to address the problem of the construction and classification of positive-definite invariant inner-products on the space of solutions of a Klein-Gordon type evolution equation.
Ali Mostafazadeh, Azizov T Ya, Bognár J, Carlip S, Dirac P A M, Greiner W, Isham C J, Kato T, Kuchár K, Marolf D, Marolf D, Mostafazadeh A, Mostafazadeh A, Mostafazadeh A, Mostafazadeh A, Page D N, Scholtz F G, Wald R M, Weinberg S, Wiltshire D L, Woodard P P   +20 more
core   +1 more source

No-cloning theorem in thermofield dynamics

, 2012
We discuss the relation between the no-cloning theorem from quantum information and the doubling procedure used in the formalism of thermofield dynamics (TFD).
Gottesman D., Koashi M., Matsubara T., T. PRUDÊNCIO, Takahashi Y., Umezawa H., Umezawa H., von Neumann J., von Neumann J.   +8 more
core   +1 more source

Jensen–Shannon divergence and non-linear quantum dynamics [PDF]

, 2012
Using the statistical inference method, a non-relativistic, spinless, non-linear quantum dynamical equation is derived with the Fisher information metric substituted by the Jensen–Shannon distance information. Among all possible implications, it is shown
S. Molladavoudi, H. Zainuddin, C. K. Tim
semanticscholar   +1 more source

Hamiltonian structure for dispersive and dissipative dynamical systems [PDF]

, 2007
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation.
A. Figotin, A. Komech, A. Tip, Alexander Figotin, B. S. Pavlov, B. Sz-Nagy, D. F. Nelson, D. Jones, F. N. H. Robinson, H. Lamb, H. Washimi, Jeffrey H. Schenker, M. A. Naimark, M. Lax, R. Loudon, V. Jaksic, V. Jaksic, Y. Jiang, Yu. Barash   +18 more
core   +1 more source

Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach

, 2011
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-Stratonovich dynamical systems).
A. Altland, A. Auerbach, A. Bulgac, A. Kapustin, A. Perelomov, D. D’Alessandro, E. Levi, H. Kleinert, H. Kleinert, J. Maldacena, L. Landau, M. C. Gutzwiller, M. Shapiroa, M. Wüstner, M. Y. Ivanov, R. Gilmore, R. Gilmore, S. Sachdev, Victor Galitski   +18 more
core   +1 more source

New‐Era Polymer Thermoelectrics: Material Innovations, Doping Frontiers, Decoupling Strategies, and Unconventional Applications

Advanced Materials, EarlyView.
The field of polymer thermoelectrics is entering a new era, featuring breakthroughs in addressing the conventional performance disparity between p‐type and n‐type polymers, pioneering doping frontiers, and sophisticated decoupling strategies. This review explores innovations in molecular design and superior stabilities, bridging the gap from ...
Suhao Wang
wiley   +1 more source

Regularization by Test Function [PDF]

, 2014
Quantum fields are generally taken to be operator-valued distributions, linear functionals of test functions into an algebra of operators; here the effective dynamics of an interacting quantum field is taken to be nonlinearly modified by properties of ...
Morgan, Peter
core