Results 51 to 60 of about 162,768 (165)
Local equivalence and refinements of Rasmussen's s‐invariant
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
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
ABSTRACT Earthquakes pose a major threat to urban areas, causing fatalities, injuries, and significant economic losses. This study proposes a Gaussian process parametrized by deep neural networks (DNN–GP) as an efficient surrogate for assessing seismic losses of building structures at a regional scale.
Byeongseong Choi +2 more
wiley +1 more source
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley +1 more source
One algebra of double cosets for a general linear group over a finite field
Let $\mathbb {F}_q$ be finite field with $q$ elements. Let $α\leqslant n$ be positive integers. Consider the general linear group $\mathrm{GL}(α+n, \mathbb {F}_q) $ and its subgroup $H(n)$, which fixes the first $α$ basis elements in $\mathbb {F}_q^{α+n}$. Denote $\mathcal{A}_n$ by the convolution algebra of $H(n)$-biinvariant functions on $\mathrm{GL}(
openaire +2 more sources
Note on the counterexamples for the integral Tate conjecture over finite fields
In this note we discuss some examples of non torsion and non algebraic cohomology classes for varieties over finite fields.
Pirutka, Alena, Yagita, Nobuaki
core +1 more source
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source
Control of Open Quantum Systems via Dynamical Invariants
Dynamical invariants are used to reverse‐engineer control fields for open quantum systems described by time‐dependent Lindblad master equations. By minimizing an analytic leakage functional, the protocol dynamically steers the state along an effectively decoherence‐free path without costly iterative propagation.
Loris M. Cangemi +4 more
wiley +1 more source
Fields and Fusions: Hrushovski constructions and their definable groups
An overview is given of the various expansions of fields and fusions of strongly minimal sets obtained by means of Hrushovski's amalgamation method, as well as a characterization of the groups definable in these ...
Wagner, Frank Olaf
core +1 more source

