Results 31 to 40 of about 723 (89)
Linear correlations of multiplicative functions
We prove a Green--Tao theorem for multiplicative functions.Comment: 60 pages; final ...
Matthiesen, Lilian
core +1 more source
Unitarily invariant valuations on convex functions
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley +1 more source
Amenability of groups and $G$-sets
This text surveys classical and recent results in the field of amenability of groups, from a combinatorial standpoint. It has served as the support of courses at the University of G\"ottingen and the \'Ecole Normale Sup\'erieure.
A. Hulanicki +72 more
core +1 more source
ABSTRACT This study presents a novel Distributed Robust Adaptive Model Predictive Control (DRAMPC) for tracking in multi‐agent systems. The framework is designed to work with dynamically coupled subsystems and limited communication, which is restricted to local neighborhoods.
Fabio Faliero +2 more
wiley +1 more source
Engineered Optical Fibers for Deep‐Tissue Applications
This review establishes a foundational framework for designing optical fibers for deep‐tissue medicine. It systematically links material innovations like polymers and hydrogels with structural paradigms to enable state‐of‐the‐art diagnostics, including endoscopy and biosensing, and targeted therapeutics, guiding future clinical translation.
Yuzhen Li +16 more
wiley +1 more source
Positive Definite Kernels in Machine Learning [PDF]
This survey is an introduction to positive definite kernels and the set of methods they have inspired in the machine learning literature, namely kernel methods.
Cuturi, Marco
core +1 more source
Subuniformity of harmonic mean p$$ p $$‐values
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen +3 more
wiley +1 more source
Sequential measurements of conjugate observables
We present a unified treatment of sequential measurements of two conjugate observables. Our approach is to derive a mathematical structure theorem for all the relevant covariant instruments.
Alessandro Toigo +18 more
core +1 more source
The graphical abstract illustrates a flower classification model relying on the human visual system. The model captures images, simulates visual attention and photometric perception, extracts features of shape and color, and classifies flowers by using an optimized neural network that enhances recognition accuracy by mimicking the human eye's focusing ...
Arpan Singh +2 more
wiley +1 more source
Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents
This paper concerns the dynamics of polynomial automorphisms of ${\bf C}^2$. One can associate to such an automorphism two currents $\mu^\pm$ and the equilibrium measure $\mu=\mu^+\wedge\mu^-$.
A. Eremenko +47 more
core +3 more sources

