Results 121 to 130 of about 3,080 (245)

Borel Determinacy and Metamathematics [PDF]

, 2001
Borel determinacy states that if G(T;X) is a game and X is Borel, then G(T;X) is determined. Proved by Martin in 1975, Borel determinacy is a theorem of ZFC set theory, and is, in fact, the best determinacy result in ZFC.
Bryant, Ross
core  

Coherent Forecasting of Realized Volatility

Journal of Forecasting, Volume 45, Issue 4, Page 1714-1729, July 2026.
ABSTRACT The QLIKE loss function is the stylized favorite of the literature on volatility forecasting when it comes to out‐of‐sample evaluation and the state of the art model for realized volatility (RV) forecasting is the HAR model, which minimizes the squared error loss for in‐sample estimation of the parameters.
Marius Puke, Karsten Schweikert
wiley   +1 more source

Riemann Integral on Fractal Structures

Mathematics
In this work we start developing a Riemann-type integration theory on spaces which are equipped with a fractal structure. These topological structures have a recursive nature, which allows us to guarantee a good approximation to the true value of a ...
José Fulgencio Gálvez-Rodríguez, Cristina Martín-Aguado, Miguel Ángel Sánchez-Granero   +2 more
doaj   +1 more source

Large Deviations of the Giant Component in Scale‐Free Inhomogeneous Random Graphs

Random Structures &Algorithms, Volume 68, Issue 4, July 2026.
ABSTRACT We study large deviations of the size of the largest connected component in a general class of inhomogeneous random graphs with iid weights, parametrized so that the degree distribution is regularly varying. We derive a large‐deviation principle with logarithmic speed: the rare event that the largest component contains linearly more vertices ...
Joost Jorritsma, Bert Zwart
wiley   +1 more source

Drought‐Induced Abscisic Acid Accumulation in Soybean Roots Depends on NCED Gene Expression More Than Shoot‐to‐Root ABA Transport

Plant, Cell &Environment, Volume 49, Issue 7, Page 4166-4177, July 2026.
Abstract Abscisic acid (ABA) is a key phytohormone in plant responses to water deficit. Although there is extensive evidence that roots can synthesise ABA, recent findings suggest that local synthesis in response to dehydration contributes little to the root ABA pool compared to shoot‐sourced ABA.
Jaime Puértolas, Pedro Castro‐Valdecantos, Moxian Chen, Jianhua Zhang, Ian C. Dodd   +4 more
wiley   +1 more source

Roots of polynomial sequences in root‐sparse regions

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen, Carsten Lunde Petersen, Eva Uhre   +2 more
wiley   +1 more source

Borel sets and σ-fragmentability of a Banach space [PDF]

, 1997
In this thesis we give a sufficient condition on a Banach space for it to have the same weak and norm Borel sets and to be a Borel subset of its bidual, when the latter is endowed with the weak* topology.
Deltell, Luis Oncina
core  

On Disjoint Borel Uniformizations

, 1999
Larman showed (1973, Mathematika20, 233–246) that any closed subset of the plane with uncountable vertical cross-sections has ℵ1 disjoint Borel uniformizing sets.
Becker, Howard, Dougherty, Randall
core   +1 more source

Sections and projections of the outer and inner regularizations of a convex body

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley   +1 more source

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source