Results 61 to 70 of about 26,140 (200)
Heisenberg‐smooth operators from the phase‐space perspective
Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley +1 more source
A new numerical method for computing the Dirichlet-to-Neumann map for Laplace’s equation in simply and multiply connected smooth domains is introduced. This method is based on an integral equation with the adjoint generalized Neumann kernel.
Samir Naqos+3 more
doaj +1 more source
A topological algorithm for the Fourier transform of Stokes data at infinity
Abstract We give a topological description of the behaviour of Stokes matrices under the Fourier transform from infinity to infinity in a large number of cases of one level. This explicit, algorithmic statement is obtained by building on a recent result of T.
Jean Douçot, Andreas Hohl
wiley +1 more source
Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator [PDF]
A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second author and H. Maier in terms of an inverse spectral problem for fractal strings.
Herichi, Hafedh, Lapidus, Michel L.
core
Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect
This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò+4 more
wiley +1 more source
Hilbert-Polya conjecture and Generalized Riemann Hypothesis [PDF]
Extending a classical integral representation of Dirichlet L-functions associated to a non trivial primitive character we define associated functions B(y,z) which are eigenfunction of a Hermitian operator H. The eigenvalues are the imaginary parts of the
Barrau, Bertrand
core
Physically Realistic Solutions to the Ernst Equation on Hyperelliptic Riemann Surfaces
We show that the class of hyperelliptic solutions to the Ernst equation (the stationary axisymmetric Einstein equations in vacuum) previously discovered by Korotkin and Neugebauer and Meinel can be derived via Riemann-Hilbert techniques.
A. Erdélyi+41 more
core +3 more sources
Robust causal inference for point exposures with missing confounders
Abstract Large observational databases are often subject to missing data. As such, methods for causal inference must simultaneously handle confounding and missingness; surprisingly little work has been done at this intersection. Motivated by this, we propose an efficient and robust estimator of the causal average treatment effect from cohort studies ...
Alexander W. Levis+3 more
wiley +1 more source
Identification of observables in quantum toboggans
Quantum systems with real energies generated by an apparently non-Hermitian Hamiltonian may re-acquire the consistent probabilistic interpretation via an ad hoc metric which specifies the set of observables in the updated Hilbert space of states.
+20 more
core +1 more source
High‐Dimensional Multiresponse Partially Functional Linear Regression
ABSTRACT We propose a new class of high‐dimensional multiresponse partially functional linear regressions (MR‐PFLRs) to investigate the relationship between scalar responses and a set of explanatory variables, which include both functional and scalar types.
Xiong Cai+3 more
wiley +1 more source