Results 111 to 120 of about 5,027 (259)
On the relaxation of some classes of unbounded integral functionals
Given a Borel function having convex effective domain, but not necessarily bounded or with nonempty interior, locally bounded in the relative interior of its effective domain and verifying an upper semicontinuity type assumption in its effective domain ...
Luciano Carbone, Riccardo De Arcangelis
doaj
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
In this paper we define soft member , soft bounded set in soft real line , soft usual topology , finite soft set , soft cofinite topology , introduce soft Heine-Borel theorem and converse of soft Heine-Borel theorem .
Hamid Mahmood, Majd
core
Analog of the Wiman inequality for Taylor-Dirichlet type series
There are presented sufficient conditions for the Taylor-Dirichlet series of the form $$ F(x)=\sum_{n=0}^{+\infty}a_ne^{x\lambda_n+\tau(x)\beta_n}, $$ and $\lambda=(\lambda_n)$, $\beta=(\beta_n)$ be positive sequences, $\tau\colon\mathbb{R}_+\to ...
A. O. Kuryliak +2 more
doaj +1 more source
Stochastic Dynamics of Nonautonomous Cohen-Grossberg Neural Networks
This paper is devoted to the study of the stochastic stability of a class of Cohen-Grossberg neural networks, in which the interconnections and delays are time-varying.
Chuangxia Huang, Jinde Cao
doaj +1 more source
Coherent Forecasting of Realized Volatility
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
Borel and Baire Sets in Bishop Spaces
We study the Borel sets Borel(F) and the Baire sets Baire(F) generated by a Bishop topology F on a set X. These are inductively defined sets of F-complemented subsets of X.
Petrakis, Iosif
core +1 more source
Some Properties on Complex Functional Difference Equations
We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form ∑λ∈Iαλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p)s)/(b0(z)+b1(z)(f∘p)+ ⋯ +bt(z)(f∘p)t)), where I is a finite set
Zhi-Bo Huang, Ran-Ran Zhang
doaj +1 more source
Large Deviations of the Giant Component in Scale‐Free Inhomogeneous Random Graphs
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
COUNTABLE BOREL EQUIVALENCE RELATIONS
This paper develops the foundations of the descriptive set theory of countable Borel equivalence relations on Polish spaces with particular emphasis on the study of hyper-finite, amenable, treeable and universal equivalence ...
A. S. KECHRIS +5 more
core +1 more source

