Results 21 to 30 of about 1,193 (68)

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

Quantized Nambu-Poisson Manifolds and n-Lie Algebras

, 2010
We investigate the geometric interpretation of quantized Nambu-Poisson structures in terms of noncommutative geometries. We describe an extension of the usual axioms of quantization in which classical Nambu-Poisson structures are translated to n-Lie ...
Christian Sämann, Filippov V. T., Hoppe J., Joshua DeBellis, Kostant B., Richard J. Szabo, Souriau J.-M., Woodhouse N. M. J.   +7 more
core   +1 more source

Coloring and density theorems for configurations of a given volume

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract This is a treatise on finite point configurations spanning a fixed volume to be found in a single color‐class of an arbitrary finite (measurable) coloring of the Euclidean space Rn$\mathbb {R}^n$, or in a single large measurable subset A⊆Rn$A\subseteq \mathbb {R}^n$.
Vjekoslav Kovač
wiley   +1 more source

Conformal Symmetry and Universal Properties of Quantum Hall States

, 1992
The low-lying excitations of a quantum Hall state on a disk geometry are edge excitations. Their dynamics is governed by a conformal field theory on the cylinder defined by the disk boundary and the time variable. We give a simple and detailed derivation
Andrea Cappelli, Belavin, Block, Cappelli, Cappelli, Cappelli, Cardy, Carlo A. Trugenberger, Cristofano, Cristofano, Cristofano, Cristofano, Dhar, di Francesco, Dunne, Erdélyi, Faddeev, Fano, Floreanini, Fradkin, Fröhlich, Fröhlich, Fubini, Fubini, Gerald V. Dunne, Ginsparg, Girvin, Gradshteyn, Green, Guillermo R. Zemba, Haldane, Halperin, Iengo, Imbimbo, Iso, Itzykson, Jackiw, Laughlin, Laughlin, Laughlin, Lee, Moore, Moore, Morf, Read, Stone, Stone, Stone, Treiman, Wen, Wen, Wen, Wen, Wen, Wen, Wilczek, Witten, Wu   +57 more
core   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Distribution of G-concurrence of random pure states

, 2006
Average entanglement of random pure states of an N x N composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entanglement monotone.
A. Peres, F. Haake, G. Arfken, G. Vidal, Hans-Jürgen Sommers, I. Bengtsson, Karol Życzkowski, M. A. Nielsen, M. B. Plenio, M. Horodecki, M. L. Mehta, M. Sinołȩcka, Valerio Cappellini   +12 more
core   +1 more source

Optical Dromion Wave Solutions for the Stochastic Riemann Wave Equation With White Noise Stochastic Term/Random Variable Coefficients and Sensitivity Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a nonlinear stochastic Riemann wave equation (SRWE) with particular novel solutions by using the white noise stochastic term. For the considered problem, we have used two computational methods, namely, the auxiliary equation (AE) method and the unified method (UM), for the exact solution and analyzed their various characteristics ...
Sara Salem Alzaid, Badr Saad T. Alkahtani, Pramita Mishra   +2 more
wiley   +1 more source

On vector bundles for a Morse decomposition of $L({\mathbb{C}\mathrm{P}}^n)$

, 2016
We give a description of the negative bundles for the energy integral on the free loop space $L{\mathbb{C}\mathrm{P}}^n$ in terms of circle vector bundles over projective Stiefel manifolds.
Ottosen, Iver
core   +1 more source

Debiasing piecewise deterministic Markov process samplers using couplings

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 1932-1974, December 2025.
Abstract Monte Carlo methods—such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers—provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in alternatives to this asymptotic regime, in particular in constructing estimators that are exact in the limit of ...
Adrien Corenflos, Matthew Sutton, Nicolas Chopin   +2 more
wiley   +1 more source

Berry phase in homogeneous K\"ahler manifolds with linear Hamiltonians

, 2001
We study the total (dynamical plus geometrical (Berry)) phase of cyclic quantum motion for coherent states over homogeneous K\"ahler manifolds X=G/H, which can be considered as the phase spaces of classical systems and which are, in particular cases ...
Alekseevsky D. V., Askold M. Perelomov, Borel A., Fernández-C D. J., Fernández-C D. J., Goto M., Hirzebruch U., Luis J. Boya, Mariano Santander, Perelomov A. M., Wolf J.   +10 more
core   +1 more source