Transcending Markov: non-Markovian rate processes of thermosensitive TRP ion channels [PDF]
The Markov state model (MSM) is a popular theoretical tool for describing the hierarchy of time scales involved in the function of many proteins especially ion channel gating. An MSM is a particular case of the general non-Markovian model, where the rate
Yuval Ben-Abu +2 more
doaj +2 more sources
Modular invariance, tauberian theorems and microcanonical entropy
We analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given energy interval. They are
Baur Mukhametzhanov, Alexander Zhiboedav
doaj +3 more sources
NECESSARY AND SUFFICIENT TAUBERIANCONDITIONS UNDER WHICH CONVERGENCEFOLLOWS FROM SUMMABILITY Ar,p
In this paper, we introduce the summability method Ar,p and obtain necessary and sufficient Tauberian conditions under which the ordinary convergence of a sequence follows from itssummability Ar,p.
C. Kambak, I. Canak
doaj +1 more source
Some remarks on Cesaro summability in neutrosophic normed spaces [PDF]
In this paper, we define the notion of a generalized summability, called Ces`aro summability in neutrosophic normed spaces (briefly NNS). We obtain conditions under which ordinary summability follows from Cesaro summability. Later, we define a concept of
Vijay Kumar +2 more
doaj +1 more source
Bicomplex Landau and Ikehara Theorems for the Dirichlet Series
The aim of this paper is to generalize the Landau-type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem.
Ritu Agarwal +4 more
doaj +1 more source
Some Abelian, Tauberian and Core Theorems Related to the $(V,\lambda)$-Summability
For a non-decreasing sequence of positive integers tending to infinity $\lambda=(\lambda_m)$ such that $\lambda_{m+1}-\lambda_m\leq 1$, $\lambda_1=1$; $(V,\lambda)$-summability has been defined as the limit of the generalized de la Val\'{e}e-Pousin of a
Merve Temizer Ersoy
doaj +1 more source
Distributional versions of Littlewood's Tauberian theorem [PDF]
We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
core +4 more sources
Multidimensional Tauberian theorems for vector-valued distributions [PDF]
We prove several Tauberian theorems for regularizing transforms of vector-valued distributions. The regularizing transform of f is given by the integral transform M-phi(f)(x, y) = (f * phi(y))(x), (x, y) is an element of R-n x R+, with kernel phi(y) (t) =
Pilipović, Stevan, Vindas Diaz, Jasson
core +2 more sources
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior [PDF]
We provide several Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Our results generalize and improve various known versions of the Ingham-Fatou-Riesz theorem and the Wiener-Ikehara theorem.
Debruyne, Gregory, Vindas Diaz, Jasson
core +1 more source
Some Tauberian conditions on logarithmic density
This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and logarithmic (V,λ) $(V,\lambda ...
Adem Kılıçman +2 more
doaj +1 more source

