Homogeneous Multifractal Measures with Disjoint Spectrum and Monohölder Monotone Functions

2015 ◽  
Vol 40 (2) ◽  
pp. 277 ◽  
Author(s):  
Zoltán Buczolich ◽  
Stéphane Seuret
Keyword(s):  
Monotone Functions ◽  
Multifractal Measures

Nowhere Monotone Functions

1976 ◽  
Vol 1 (1) ◽  
pp. 44
Author(s):  
Foran
Keyword(s):  
Monotone Functions

scholarly journals Tail Asymptotics for Monotone-Separable Networks

2007 ◽  
Vol 44 (02) ◽  
pp. 306-320
Author(s):  
Marc Lelarge
Keyword(s):  
Queueing Network ◽  
Network Models ◽  
Moment Generating Function ◽  
Stochastic Petri Nets ◽  
Arrival Process ◽  
Polling Systems ◽  
Tail Asymptotics ◽  
State Variables ◽  
Monotone Functions ◽  
Jackson Networks

A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains several classical queueing network models, including generalized Jackson networks, max-plus networks, polling systems, multiserver queues, and various classes of stochastic Petri nets. We use comparison relationships between networks of this class with independent and identically distributed driving sequences and the GI/GI/1/1 queue to obtain the tail asymptotics of the stationary maximal dater under light-tailed assumptions for service times. The exponential rate of decay is given as a function of a logarithmic moment generating function. We exemplify an explicit computation of this rate for the case of queues in tandem under various stochastic assumptions.

scholarly journals Reduction theorems for operators on the cones of monotone functions

2013 ◽  
Vol 405 (1) ◽  
pp. 156-172 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Vladimir D. Stepanov
Keyword(s):  
Monotone Functions

Wavelet series built using multifractal measures

2005 ◽  
Vol 341 (6) ◽  
pp. 353-356 ◽  
Author(s):  
Julien Barral ◽  
Stéphane Seuret
Keyword(s):  
Multifractal Measures ◽  
Wavelet Series

Moments of convex and monotone functions

1972 ◽  
Vol 76 (2) ◽  
pp. 135-137 ◽  
Author(s):  
Togo Nishiura ◽  
Franz Schnitzer
Keyword(s):  
Monotone Functions
Sign in / Sign up

Export Citation Format

Share Document