Results 41 to 50 of about 5,492 (174)
Frobenius-Perron Dimensions of Integral ℤ+$\mathbb {Z}_{+}$-rings and Applications
We introduce the notion of the Frobenius-Perron dimension of an integral ℤ + $\mathbb {Z}_{+}$ -ring and give some applications of this notion to classification of finite dimensional quasi-Hopf algebras with a unique nontrivial ...
Etingof, Pavel
core +1 more source
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
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Quasi-Frobenius quotient rings of group rings [PDF]
The purpose of this paper is an extension of a theorem of Hughes (1973). He showed: Let R be a ring which has a right artinian right quotient ring and let G be a group which has a (transfinite) ascending normal series with each factor either finite or cyclic, but only a finite number of finite factors.
openaire +2 more sources
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
Hypergeometric motives from Euler integral representations
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
Multiple Order Dual-Band Active Ring Filters with Composite Right/Left Handed Cells
In this paper, a novel dual-band active filter topology is presented. The non-linear phase response of a composite right/left-handed cell is used to achieve the desired dual-band performance.
García Pérez, Oscar Alberto +7 more
core +1 more source
On groupoid graded (quasi-)Frobenius rings
Emil Ilić-Georgijević
exaly +2 more sources
Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis
ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga +3 more
wiley +1 more source
This study introduces a novel method to identify rational‐function dynamics in biological networks, overcoming the limitations of existing approaches like SINDy. By applying singular value decomposition to a mixed library of state and derivative terms, the method efficiently extracts the implicit model structure from data.
Hongtao Zhu +4 more
wiley +1 more source

