Results 61 to 70 of about 8,379 (259)
Abstract Objective Novel epilepsy treatments for patients with tuberous sclerosis complex (TSC) and focal cortical dysplasia type II (FCDII) are urgently needed. In these patients, mutations in the mechanistic target of rapamycin (mTOR) pathway genes lead to mTOR hyperactivity and focal cortical malformations that frequently cause intractable epilepsy ...
Branden Stansley +11 more
wiley +1 more source
Commutators in real interpolation with quasi-power parameters
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi-power parameters, that is, the function spaces on which Hardy inequalities are valid.
Ming Fan
doaj +1 more source
The Notions of Center, Commutator and Inner Isomorphism for Groupoids
In this paper we introduce some algebraic properties of subgroupoids and normal subgroupoids. we define other things, we define the normalizer of a wide subgroupoid H of a groupoid G and show that, as in the case of groups, this normalizer is the ...
Jesús Ávila, Víctor Marín
doaj +1 more source
Some estimates for commutators of the fractional maximal function on stratified Lie groups
In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] $[b, M_{\alpha}]$ and the maximal commutator M α , b $M_{\alpha ,b}$ on the Lebesgue spaces over some stratified Lie group G $\mathbb{G}$ when the symbol b
Jianglong Wu, Wenjiao Zhao
doaj +1 more source
On commutativity and approximation
The paper deals with lower and upper bounds on the algebraic complexity of bilinear forms based on the rank of the corresponding tensors. It defines the ''commutative border rank'' (cbrk) of a tensor, which is a modification of the definition of ''rank'' so that it can be applied to algorithms that a) only need to approximate the solution and b) make ...
openaire +2 more sources
On Commuting and Noncommuting Complexes
In this paper we study various simplicial complexes associated to the commutative structure of a finite group G. We define NC(G) (resp. C(G)) as the complex associated to the poset of pairwise non-commuting (resp. commuting) sets in G. We observe that NC(G) has only one positive dimensional connected component, which we call BNC(G), and we prove that ...
Pakianathan, Jonathan, Yalçın, Ergün
openaire +3 more sources
Relative Commutator Theory in Semi-Abelian Categories
Basing ourselves on the concept of double central extension from categorical Galois theory, we study a notion of commutator which is defined relative to a birkhoff subcategory Beta of a semi-abelian category Alpha. This commutator characterises Janelidze
Everaert, Tomas, Van der Linden, Tim
core +1 more source
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Commutator estimates on contact manifolds and applications [PDF]
This article studies sharp norm estimates for the commutator of pseudo-differential operators with multiplication operators on closed Heisenberg manifolds.
Gimperlein, Heiko +6 more
core +3 more sources
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
wiley +1 more source

