## 24 Citations

Weakly contractive iterated function systems and beyond: a manual

- Mathematics
- 2020

ABSTRACT We give a systematic account of iterated function systems (IFS) of weak contractions of different types (Browder, Rakotch, topological). We show that the existence of attractors and…

Survival probability of precipitations and rain attenuation in tropical and equatorial regions

- Environmental Science
- 2015

This contribution presents a stochastic model useful for the generation of a long-term tropospheric rain attenuation time series for Earth space or a terrestrial radio link in tropical and equatorial…

A Mathematical Model for Control of Drainage in an Irrigation System

- MathematicsEmerging Challenges to Food Production and Security in Asia, Middle East, and Africa
- 2021

Mathematical models describing the estimation of optimal amounts of water depend on various parameters such as the quality of soil that depends on many random factors. Investigation methods and…

ON GRAPHS, GROUPS AND GEOMETRY

- Mathematics
- 2021

A metric space (X, d) is declared to be natural if (X, d) determines an up to isomorphism unique group structure (X,+) on the set X such that all the group translations and group inversion are…

Transportation inequalities for coupled systems of stochastic delay evolution equations with a fractional Brownian motion

- MathematicsStochastic Analysis and Applications
- 2021

Abstract We prove an existence and uniqueness result of mild solution for a system of stochastic semilinear differential equations with fractional Brownian motions and Hurst parameter H < 1∕2. Our…

Considering Random Factors in Modeling Complex Microeconomic Systems

- Economics
- 2020

Within the framework of a model describing real-functioning association of three enterprises, numerical calculations of economic dynamics parameters considering fluctuating market demand for the…

On Leader-Following Consensus in Multi-Agent Systems with Discrete Updates at Random Times

- MathematicsEntropy
- 2020

Some sufficient conditions are derived to design the control law that ensures the leader-following consensus is asymptotically reached (in the sense of the expected value of a stochastic process) in continuous-time multi-agent networks.

Motor Drive Dc Arc Detection Using Autocorrelation Algorithm

- Engineering2019 10th International Conference on Power Electronics and ECCE Asia (ICPE 2019 - ECCE Asia)
- 2019

The demand for electric power in aircrafts is increasing fast. As a result, an elevated voltage is needed for the rising power level, in order to optimize the whole system. This will make the system…

Probabilistic analysis of a concrete column in an aggressive soil environment

- EngineeringPloS one
- 2019

The proposed method to prevent unexpected structural failures during column service life can assist designers and can help to make decisions on existing foundations to ensure the safety of geotechnical construction.

Bi-Directional Testing for Change Point Detection in Poisson Processes

- Environmental Science
- 2018

This dissertation, through a prudent harnessing of the bidirectional category’s classification prowess, incites a refreshing alternative to estimating changes plaguing a soporific flow, by conducting a sequence of tests.

## References

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Continuous martingales and Brownian motion

- Mathematics
- 1990

0. Preliminaries.- I. Introduction.- II. Martingales.- III. Markov Processes.- IV. Stochastic Integration.- V. Representation of Martingales.- VI. Local Times.- VII. Generators and Time Reversal.-…

Measure Theory

- Mathematics
- 2007

These are some brief notes on measure theory, concentrating on Lebesgue measure on Rn. Some missing topics I would have liked to have included had time permitted are: the change of variable formula…

Branching ran dom walk with exponentially decreasing steps and stochastically selfsimilar measures

- arXiv PR/0608271,
- 2006

Probability Theory in Finance: A Mathematical Guide to the Black-Scholes Formula, Second edition

- Mathematics
- 2005

The Black-Scholes formula helps clarify the role of uncertainty in set theory and provides a framework for estimating the values of discrete-time functions.

Probability: A Graduate Course

- Mathematics
- 2005

Preface to the First Edition.- Preface to the Second Edition.- Outline of Contents.- Notation and Symbols.- Introductory Measure Theory.- Random Variables.- Inequalities.- Characteristic Functions.-…

Prime obsession

- 2004

An app l i ca t i on o f K loos te rman sums

- http://www.math.harvard.edu/ elkies/M259.02/kloos.pdf,
- 2003