Results 31 to 40 of about 11,813 (170)
Epilepsia, EarlyView.Abstract Objective Novel epilepsy treatments for patients with tuberous sclerosis complex (TSC) and focal cortical dysplasia type II (FCDII) are urgently needed. In these patients, mutations in the mechanistic target of rapamycin (mTOR) pathway genes lead to mTOR hyperactivity and focal cortical malformations that frequently cause intractable epilepsy ...
Branden Stansley +11 more
wiley +1 more source
The Gerasimov-Drell-Hearn sum rule and the infinite-momentum limit
, 1997 We study the current-algebra approach to the Gerasimov-Drell-Hearn sum rule, paying particular attention to the infinite-momentum limit. Employing the order-alpha^2 Weinberg-Salam model of weak interactions as a testing ground, we find that the ...
Pantfoerder, R., Pfeil, W., Rollnik, H.
core +2 more sources
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Affine Poisson and affine quasi-Poisson T-duality
, 2018 We generalize the Poisson-Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson-Lie group. We also introduce a new notion of an affine
Klimcik, C.
core +3 more sources
Non-Commutative Q-Binomial Formula
, 2012 13 pages, 1 ...
Nalci, Sengul, Pashaev, Oktay
openaire +2 more sources
Non-commutative functions and the non-commutative free Lévy–Hinčin formula
Advances in Mathematics, 2013 Abstract The paper is discussing infinite divisibility in the setting of operator-valued boolean, free and, more general, c-free independences. Particularly, using Hilbert bimodule and non-commutative function techniques, we obtain analogues of the Levy–Hincin integral representation for infinitely divisible real measures.
Popa, Mihai, Vinnikov, Victor
openaire +1 more source
Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, EarlyView.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley +1 more source
, 2002 We consider odd Laplace operators acting on densities of various weight on an odd Poisson (= Schouten) manifold $M$. We prove that the case of densities of weight 1/2 (half-densities) is distinguished by the existence of a unique odd Laplace operator ...
Khudaverdian, Hovhannes M. +1 more
core +7 more sources
A Non-Commutative $n$-Nomial Formula
Rocky Mountain Journal of Mathematics, 2007 In this paper the author gives a general \(n\)-nomial expansion formula for \((x_1+\cdots+ x_n)^m\) in terms of degree \(m\) monomials in \(x_1,\dots, x_n\), under the assumption \(x_j x_i= p_{ij} x_i x_j\) for \(1\leq i< j\leq n\). This is a generalization of an early result independently given by \textit{M. P. Schützenberger} [C. R. Acad. Sci., Paris
openaire +2 more sources
A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, EarlyView.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
wiley +1 more source