Results 21 to 30 of about 26,802 (251)
A note on the boundedness of sublinear operators on grand variable Herz spaces
In this paper, we introduce grand variable Herz type spaces using discrete grand spaces and prove the boundedness of sublinear operators on these spaces.
Hammad Nafis +2 more
doaj +1 more source
Dimensional crossovers and Casimir forces for the Bose gas in anisotropic optical lattices
We consider the Bose gas on a $d$-dimensional anisotropic lattice employing the imperfect (mean-field) gas as a prototype example. We study the dimensional crossover arising as a result of varying the dispersion relation at finite temperature $T$.
Jakubczyk, Paweł, Łebek, Maciej
core +1 more source
Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces
We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation...........................................................................................................................................................
openaire +4 more sources
Embeddings between grand, small and variable Lebesgue spaces
We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal.
Cruz-Uribe, David +2 more
core +1 more source
Revisiting the Theory of Finite Size Scaling in Disordered Systems: \nu Can Be Less Than 2/d
For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent: \nu_{FS}
A. Aharony +12 more
core +1 more source
Disorder Averaging and Finite Size Scaling
We propose a new picture of the renormalization group (RG) approach in the presence of disorder, which considers the RG trajectories of each random sample (realization) separately instead of the usual renormalization of the averaged free energy. The main
A. Aharony +12 more
core +1 more source
Net baryon number probability distribution near the chiral phase transition [PDF]
We discuss properties of the net baryon number probability distribution near the chiral phase transition to explore the effect of critical fluctuations.
Friman, Bengt +3 more
core +2 more sources
Abstract This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework. The results are still new even in the unweighted setting, extending previous research.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
openaire +2 more sources
Rank Statistics in Biological Evolution
We present a statistical analysis of biological evolution processes. Specifically, we study the stochastic replication-mutation-death model where the population of a species may grow or shrink by birth or death, respectively, and additionally, mutations ...
+18 more
core +1 more source
Expurgation Exponent of Leaked Information in Privacy Amplification for Binary Sources
We investigate the privacy amplification problem in which Eve can observe the uniform binary source through a binary erasure channel (BEC) or a binary symmetric channel (BSC).
Watanabe, Shun
core +1 more source

