Results 81 to 90 of about 161,671 (322)
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
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
Congruence kernels of orthomodular implication algebras
AbstractAbstracting from certain properties of the implication operation in Boolean algebras leads to so-called orthomodular implication algebras. These are in a natural one-to-one correspondence with families of orthomodular lattices. It is proved that congruence kernels of orthomodular implication algebras are in a natural one-to-one correspondence ...
Radomír Halaš+2 more
openaire +2 more sources
Convergence properties of dynamic mode decomposition for analytic interval maps
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji+3 more
wiley +1 more source
Dipole symmetry breaking and fractonic Nambu-Goldstone mode
We introduce a family of quantum field theories for fields carrying monopole and dipole charges. In contrast to previous realizations, fields have quadratic two-derivative kinetic terms.
Evangelos Afxonidis, Alessio Caddeo, Carlos Hoyos, Daniele Musso
doaj +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell+3 more
wiley +1 more source
Lie group classification and exact solutions of the generalized Kompaneets equations
We study generalized Kompaneets equations (GKEs) with one functional parameter, and using the Lie-Ovsiannikov algorithm, we carried out the group classification. It is shown that the kernel algebra of the full groups of the GKEs is the one-dimensional
Oleksii Patsiuk
doaj
A topological version of Hilbert's Nullstellensatz
We prove that the space of radical ideals of a ring $R$, endowed with the hull-kernel topology, is a spectral space, and that it is canonically homeomorphic to the space of the nonempty Zariski closed subspaces of Spec$(R)$, endowed with a Zariski-like ...
Finocchiaro, Carmelo A.+2 more
core +1 more source
Short Wavelength Limit of the Dynamic Matsubara Local Field Correction
ABSTRACT We investigate the short wavelength limit of the dynamic Matsubara local field correction G˜q,zl$$ \tilde{G}\left(\mathbf{q},{z}_l\right) $$ of the uniform electron gas based on direct ab initio path integral Monte Carlo (PIMC) results over an unprecedented range of wavenumbers, q≲20qF$$ q\lesssim 20{q}_{\mathrm{F}} $$, where qF$$ {q}_{\mathrm{
Tobias Dornheim+3 more
wiley +1 more source
Structured algebraic specifications: A Kernel language
A language called ASL for describing structured algebraic specifications is presented. ASL is a declarative higher-order language. It contains constructs for building (possibly infinite) signatures, sets of terms, and sets of formulas as well as constructs embodying primitive operations on algebraic specifications.
openaire +3 more sources
Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations
The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo+3 more
wiley +1 more source