Results 61 to 70 of about 1,252,117 (301)
EXPECTED TOPOLOGY OF RANDOM REAL ALGEBRAIC SUBMANIFOLDS [PDF]
Let $X$ be a smooth complex projective manifold of dimension $n$ equipped with an ample line bundle $L$ and a rank $k$ holomorphic vector bundle $E$. We assume that $1\leqslant k\leqslant n$, that $X$, $E$ and $L$ are defined over the reals and denote by
D. Gayet, Jean-Yves Welschinger
semanticscholar +1 more source
Introducing dynamical dephasing into the photon modes of a waveguide causes spontaneous emission to switch from conventional exponential decay to a robust power‐law behavior visible at short times. The power law arises from photon diffusion in a dynamically disordered environment, uncovering a previously unexplored, decoherence‐induced pathway to ...
Stefano Longhi
wiley +1 more source
Generalised Swan modules and the D(2) problem
We give a detailed proof that, for any natural number n, each algebraic two complex over C_n \times C_\infty is realised up to congruence by a geometric complex arising from a presentation for the group.Comment: This is the version published by Algebraic
Bass +11 more
core +2 more sources
Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
In a previous paper, the author has introduced and studied a new algebraic structure which accurately describes the algebra underlying quantity calculus.
Raposo Álvaro P.
doaj +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set
Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space.
Suqian ZHAO
doaj +1 more source
A search method for thin positions of links
We give a method for searching for thin positions of a given link.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-42.abs ...
Burde +5 more
core +3 more sources
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Algebraic Tracking Network Topology Processor for Modern Power Systems
The growing deployment of Phasor Measurement Units (PMUs) in Electric Power Systems (EPSs) has led status measurements from switchable devices to be transmitted at high sampling rates, enabling rapid detection of switching events and continuous topology ...
Gustavo Da S. P. Rondon +3 more
doaj +1 more source

