Results 21 to 30 of about 552,211 (279)
Opinion formation with time-varying bounded confidence. [PDF]
PLoS ONE, 2017 When individuals in social groups communicate with one another and are under the influence of neighbors' opinions, they typically revise their own opinions to adapt to such peer opinions.
YunHong Zhang, QiPeng Liu, SiYing Zhang
doaj +1 more source
Integral Representation of Functions of Bounded Variation
Journal of Mathematics, 2019 Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually ...
Z. Lipcsey +3 more
doaj +1 more source
On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣
Eurasian Journal of Science and Engineering, 2023 In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
doaj +1 more source
Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]
Opuscula Mathematica, 2012 We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
Tomás Ereú +3 more
doaj +1 more source
On Variational Bounds of Mutual Information
CoRR, 2019 Estimating and optimizing Mutual Information (MI) is core to many problems in machine learning; however, bounding MI in high dimensions is challenging. To establish tractable and scalable objectives, recent work has turned to variational bounds parameterized by neural networks, but the relationships and tradeoffs between these bounds remains unclear ...
Ben Poole +4 more
openaire +3 more sources
Nemytskii operator on generalized bounded variation space
Revista Integración, 2014 In this paper we show that if the Nemytskii operator maps the (φ, α)-bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions g and h belonging to the (φ, α)-bounded variation space such that f (t, y) = g(t)
René Erlín Castillo +2 more
doaj +4 more sources
A chain rule formula in BV and applications to conservation laws
, 2010 In this paper we prove a new chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:]a,b[\to\R^d$ has bounded variation, $B(x,\cdot)$ is continuously differentiable and $B(\cdot,u)$ has bounded variation.
De Cicco V. +2 more
core +1 more source
Explicit expanders with cutoff phenomena [PDF]
, 2010 The cutoff phenomenon describes a sharp transition in the convergence of an ergodic finite Markov chain to equilibrium. Of particular interest is understanding this convergence for the simple random walk on a bounded-degree expander graph.
Lubetzky, Eyal, Sly, Allan
core +1 more source
Nonlocal Bounded Variations with Applications
SIAM Journal on Mathematical AnalysisMotivated by problems where jumps across lower dimensional subsets and sharp transitions across interfaces are of interest, this paper studies the properties of fractional bounded variation ($BV$)-type spaces. Two different natural fractional analogs of classical $BV$ are considered: $BV^α$, a space induced from the Riesz-fractional gradient that has ...
Harbir Antil +3 more
openaire +2 more sources
Regularity of the Hardy-Littlewood maximal operator on block decreasing functions
, 2009 We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable
Aldaz, J. M., Lazaro, J. Perez
core +1 more source