On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Computation of symbols on đ¶*-algebras of singular integral operators [PDF]
openaire +3 more sources
Unifying the structures of language in a neural population code. [PDF]
Nastase SA +3 more
europepmc +1 more source
Frequencyâdependent contraction rates for the Bayesian method to the inverse source problem
Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely illâposed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
PuâZhao Kow, JennâNan Wang
wiley +1 more source
Contextâfree graphs and their transition groups
Abstract Starting from contextâfree inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are contextâfree, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Irrational dynamics, superpitchfork bifurcation, and equilibrium hierarchy in a mass-spring system exhibiting chaos and bursting. [PDF]
Abobda LT.
europepmc +1 more source
Nontrivial Massey products on compact KĂ€hler manifolds
Abstract By a result of Deligne, Griffiths, Morgan, and Sullivan, compact KĂ€hler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasiâisomorphism type of the bigraded, bidifferential algebra of forms on a compact KĂ€hler manifold generally contains more information than the de Rham cohomology algebra with its real ...
Giovanni Placini +2 more
wiley +1 more source
The electrofluidic brain as a basement layer for neural computation. [PDF]
Chakravarthy VS +2 more
europepmc +1 more source
FragmentationâCoagulation Processes With Advection or Diffusion in Space
ABSTRACT In this paper, we consider a continuous fragmentationâcoagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0âsemigroups with parameter and use them to show that the abstract Cauchy problem associated with a more general version ...
Jacek Banasiak, Nduduzo Majozi
wiley +1 more source
Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]
Jawarneh Y +3 more
europepmc +1 more source

