Distribution of integer points on determinant surfaces and a mod‐p analogue
Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
Quantum hypermultiplet moduli spaces in N=2 string vacua: a review
The hypermultiplet moduli space M_H in type II string theories compactified on a Calabi-Yau threefold X is largely constrained by supersymmetry (which demands quaternion-K\"ahlerity), S-duality (which requires an isometric action of SL(2, Z)) and ...
Alexandrov, Sergei +3 more
core +3 more sources
A New Padé Approach to Modeling Wormholes in Dekel‐Zhao Dark Matter Halos
A matter‐first Padé strategy is introduced to build traversable wormholes from prescribed dark‐matter halos. Rational Padé fits approximately the Dekel–Zhao density and are analytically integrated to obtain a shape function that exactly reproduces the intended matter content, avoiding spurious poles of geometry‐first schemes.
Jonathan Alves Rebouças +4 more
wiley +1 more source
Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces
Let (S,H) be a rational algebraic surface with an ample divisor. We compute generating functions for the Hodge numbers of the moduli spaces of H-stable rank 2 sheaves on S in terms of certain theta functions for indefinite lattices that were introduced ...
Goettsche, Lothar
core +3 more sources
ABSTRACT Recently, the zeroing neural network (ZNN) has demonstrated remarkable effectiveness in tackling time‐varying problems, delivering robust performance across both noise‐free and noisy environments. However, existing ZNN models are limited in their ability to actively suppress noise, which constrains their robustness and precision in solving ...
Yilin Shang +3 more
wiley +1 more source
Looking Back to 1991 Economic Forecasting: Introducing Cointegration
ABSTRACT Originally written in 1991 to advance the formal analysis of macroeconomic forecasting models and methods following the development of cointegration, alternative forecasting devices, conditional and unconditional forecasts, and data accuracy are considered.
David F. Hendry
wiley +1 more source
Pallidal Recordings in Chronically Implanted Dystonic Patients: Mitigation of Tremor-Related Artifacts. [PDF]
Del Vecchio Del Vecchio J +6 more
europepmc +1 more source
Non-invasive vagus nerve stimulation modulates subthalamic beta activity in Parkinson's disease. [PDF]
Torrecillos F +6 more
europepmc +1 more source
Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
We first determine and then study the complete set of non-vanishing A-model correlation functions associated with the ``long-diagonal branes'' on the elliptic curve.
Herbst, Manfred +2 more
core

