Fredrick Zia Michael

Agathos Scientific and Education

PI

9640 Irving Park Rd.

Mail Stop 2070

Schiller Park, IL 60176

United States

SCHOLARLY PAPERS

26

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1,193

SSRN CITATIONS

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CROSSREF CITATIONS

1

Scholarly Papers (26)

1.

Notes on Prime Numbers, Their Numerical Statistics & Patterns I: Modular Arithmetic and the Eight Fold Period 24 Model

Number of pages: 25 Posted: 22 Dec 2015 Last Revised: 18 Jan 2016
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 140 (211,693)

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prime numbers, twin primes, cousin primes, nearest neighbor, integer numbers, number theory, numerical, statistical distributions, random matrix theory, nonextensive, nonextensive random matrix theory

2.

Towards a Navier Stokes Exact Solution

Number of pages: 6 Posted: 25 Dec 2012
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 122 (235,662)

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Hydrodynamics, nonlinear, Partial differential equations, stochastic differential equations, PDE, SDE, mass balance, energy balance , momentum balance, continuity equation, fluid flow, Navier, Stokes

3.

Generalized Stochastic Lotka-Volterra Equations

Number of pages: 7 Posted: 28 Oct 2011 Last Revised: 07 Dec 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 116 (244,568)

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Lotka, Volterra, bistable, fluctuations, colored noise, nonlinear, power-law, q-entropy

4.

Cognitive Neural Network Models of the Brain and the Interaction with Natural Human Surroundings

Number of pages: 12 Posted: 22 Aug 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 72 (331,740)

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neurons, neural, cognition. cognitive, model, brain, memory, consciousness, power spectrum, Wiener model, capacitance model

5.
Downloads 68 (342,237)

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riemann, reimann, zeta, function, hurwitz, prime number, nontrivial, zeros , complex, nonextensive, tsallis, statistics

6.

Entropy Primes and Integer Composites: The 2nd Quantization Approach

Number of pages: 11 Posted: 15 Sep 2014
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 67 (345,013)

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prime numbers, composite numbers, prime entropy, occupation number formalism, second quantization

7.

A Possible Solution for the Boltzmann Equation

Number of pages: 6 Posted: 26 Oct 2011 Last Revised: 07 Dec 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 65 (350,493)

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8.

Soliton Equations and Higher Order Nonlinear Partial Differential Equations

Number of pages: 4 Posted: 19 Oct 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 57 (374,313)

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9.

Quantifying Impact of Natural Disasters Such as a Hurricane on a Society

Number of pages: 8 Posted: 22 Aug 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 54 (383,995)

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disasters, hurricanes, impact , society, economics, psychology, populations, quantification

10.

Notes on Prime Numbers, Their Numerical Statistics & Patterns II: Modular Arithmetic and the Symmetric Triangular Embedding Model

Number of pages: 7 Posted: 18 Jan 2016
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 52 (390,531)

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primes, prime numbers, number theory, integers, composites, composite numbers, factors, divisors, sieves, statistics of primes, modular arithmetic, mod, modulus

11.

Debt Risk and Pricing of Risk

Number of pages: 15 Posted: 02 Nov 2014
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 37 (446,697)

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risk, pricing, finance, economics, loans, debt, collateralized debt obligations, credit default swaps, default, copula, gaussia, student t, gamma, nonextensive, power law

12.

Particle Mass from Planck-Scale Fluctuations

Number of pages: 7 Posted: 17 Oct 2011 Last Revised: 02 Jun 2013
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 36 (450,907)

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worm holes, particle spectrum, curved, space, time, space-time, curvature, gravitation, stochastic gravity, quantum gravity, relativistic, thermodynamics, planck scale, geon, geometrodinamics, geometrodynamics, negf, nonequilibrium, green's functions, black hole

13.

Epidemiology Interacting Many-Body Models

Number of pages: 24 Posted: 26 Jul 2013
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 35 (455,200)
Citation 1

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epidemiology, epidemics, malaria, predator, prey, lotka, volterra, simulation, modeling, model, interacting, many, body, physics, critical, phase, transition, logistics, stochastic, probability, nonlinear, nonlinear partial differential equations

14.

Photon and Matter Interaction

Number of pages: 10 Posted: 23 Oct 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 32 (468,648)

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photon, wave equation, matter, perturbation, NEGF, non equilibrium, Green's function, optoelectronic, Schroedinger, Feynman

15.

The Nonlinearity of a Quantum Gravity Derivation

Number of pages: 6 Posted: 27 Mar 2012
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 31 (473,367)

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gravity, curved, curvature, spacetime, space, time, quantization, black hole, worm hole, particle mass, planck scale, planck fluctuations

16.

A Dynamic Prime Lending Rate and Growth Rate Theory of Economy

Number of pages: 8 Posted: 23 Mar 2012
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 30 (478,322)

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economics, economy, statistics, forecasting, fed, prime lending rate, simulation

17.

Spin Dependent Transport in Ferro-Magnetic Heterostructures: An Application of Non-Equilibrium Green's Functions

Number of pages: 8 Posted: 23 Oct 2011
Fredrick Zia Michael and M. D. Johnson
Agathos Scientific and Education and University of Central Florida
Downloads 28 (488,563)

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spin, magnetic, device, ferr magnet, magneto resistance, current voltage, spin transport, NEGF, non equilibrium , Green's function

18.

Exact Solutions of the Multi Variable Allele Frequency Equations Problems in Population Genetics

Number of pages: 22 Posted: 25 Apr 2014
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 24 (510,474)

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19.

Towards a Zeta Function Derived from Quantized Discrete States

Number of pages: 6 Posted: 10 Oct 2014
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 23 (516,174)

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zeta function, partition function, tsallis statistics, nonextensive, superstatistics, occupation number formalism, seond quantization, prime numbers, composite numbers

20.

Interacting Traffic Model. An Application of Physical Social Models

Number of pages: 9 Posted: 28 Aug 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 23 (516,174)

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21.

Accelerating Network Statistical Dynamics

Number of pages: 19 Posted: 16 Jan 2014
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 21 (528,014)

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22.

Techniques and Applications of Quantum and Classical Statistical Mechanics

Michael, Frederick N., 'Techniques and applications of quantum and classical statistical mechanics' (2002). University of Central Florida Digitized Thesis Library, Retrospective Theses and Dissertations. 1612.
Number of pages: 99 Posted: 23 Feb 2018
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 14 (570,382)

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condensed matter, theory, self energy, coupling, non equilibrium, statistics, statistical mechanics, quantum, classical, non extensive, nonextensive, multi layer, spintronics, NEGF non equilibrium Green's functions, ballistic transport, heterostructures, financial markets, stochastic, Ito, partial

23.

Genetic Information Coding and Replication Error Descriptive and Instantaneous Corrective Description

Number of pages: 12 Posted: 02 Nov 2011 Last Revised: 23 Nov 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 14 (570,382)

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genes, gcta, genetics, encoding, coding, genome, information, nonextensive , statistics, time series, power law distribution

24.

Interacting Many-Particle Extensive Quantum Mechanics

Number of pages: 3 Posted: 23 Oct 2011
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 14 (570,382)

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25.
Downloads 12 (583,148)

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Metric Tensor, Diffusion Tensor, Nonextensive Statistics, Topology, Deformation, Special Relativity, General Relativity, Cosmological Constant, Stress-Energy Tensor, Stress, Strain, Einstein’s Field Equation, Ricci Curvature, Scalar Curvature, Tsallis Statistics, SDE Stochastic, PDE, Covariant

26.

The Nonextensive Thermodynamics of Q-Deformed Spacetime in General Relativity

Number of pages: 10 Posted: 28 Dec 2018
Fredrick Zia Michael
Agathos Scientific and Education
Downloads 6 (622,313)

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thermodynamics, entropy, nonextensive, tsallis, deformation, spacetime, general relativity, black hole, curvature, strain energy tensor