Department of Mathematical Sciences

University of Cincinnati

Cincinnati, Ohio 45221-0025

Office: Old Chemistry Building 834

Tel: 513-556-4057

Email: orabyt at math dot uc dot edu

Web: http://math.uc.edu/~orabyt

Classes
  • 15-math-252 : Calculus II Spring 2008
Information
  • 1997 B. Sc. in Mathematical Statistics,

Department of Mathematics, Cairo University, Cairo, Egypt.

  • 2002 M. Sc. in Mathematical Statistics with a thesis entitled

Fractal dimension, resistance dimension, random walk dimension, and k-fuzz graphs

Department of Mathematics, Cairo University, Cairo, Egypt.

  • Winter 2003 - till now

I am enrolled in the Ph.D. program with a mathematics major in

Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, USA. 

  You can check  My Current Vita

News

Teaching
  • Instructor

15-math-251 : Calculus I Winter 2008

15-math-147 : Elementary Probability and Statistics I Fall 2007

15-math-362 : Probability and Statistics II Summer 2007

15-math-149 : Elementary Probability and Statistics III Spring 2007

15-math-148 : Elementary Probability and Statistics II Winter 2007

15-math-147 : Elementary Probability and Statistics I Fall 2006

15-math-362 : Probability and Statistics II Summer 2006

15-math-361 : Probability and Statistics I Summer 2004

  • Teaching assistant 

Topics in Mathematics i - ii - iii Autumn 2004-Winter 2005-Spring 2005

Linear Algebra, Calculus I, II, IV Winter 2003-Spring 2004

Research Interests
  • Probability Theory (Random Matrices) under supervision of  Prof. Wlodzimierz Bryc
  • Stochastic Processes (Random Walk)

Simulations

Papers
  1. On Slow-Fading MIMO Systems With Nonseparable Correlation, with W. Bryc, R. Rashidi Far, and R. Speicher. To appear in IEEE IT vol. 54(2) February 2008.
  2. Resistance dimensions of branching processes in varying environments trees, with Mokhtar H. Konsowa, Statistics and Probability Letters, 78(1): 67-74, 2008.
  3. The spectral laws of Hermitian block-matrices with large random blocks, Electronic Communications in Probability, 12: 465-476, 2007.
  4. The limiting spectra of Girko’s block-matrix, Journal of Theoretical Probability, 20: 959-970, 2007.
  5. Fractal dimensions and random walks on random trees (2003), with Mokhtar H. Konsowa , Journal of Statistical Planning and Inference 116(2):333-342
  6. Dimensions of random trees (2003), with Mokhtar H. Konsowa,
    Statistics and Probability Letters 62(1): 49-60

Preprints:

  1. Spectra of large block matrices, with W. Bryc, R. Rashidi Far, and R. Speicher.
Seminars

(I gave)

         Probability Seminars at UC dep. of math.
  1. At University of Cincinnati, department of mathematical Sciences
  • March 3rd, 2004

         Title:  Random walks on Random trees and their fractal dimension.

  • November 29th, 2004

         Title:  The Limiting Spectral Laws of Block Toeplitz Random Matrices.

  • February 14th  &  28th, 2005

         Title:  The semicircle law.

  • October 5th , 2005

          Title: Limiting spectral distribution of symmetric matrices with weakly dependent entries

  • January 23rd, 2006

         Title:  The limiting spectra of Girko’s block-matrix.

  • April 17th, 2006

          Title: Free multiplicative convolution

  • May 22nd, 2006

          Title:  Limiting spectra of random block matrices. Slides

          Title:  On Shoshnikov's approach to maximal eigenvalue problem.

  

Traveling
  • Completed:
  1. 2003 John H. Barrett Memorial Lectures, The University of Tennessee, Knoxville, April 25-26, 2003.
  2. The Twenty-Sixth Midwest Probability Colloquium, Northwestern University, October 15-16, 2004.
  3. The Twenty-Seventh Midwest Probability Colloquium, Northwestern University, October 21-22, 2005.
  4. 2006-07 Program on High Dimensional Inference and Random Matrices -The Opening Workshop, SAMSI, NC, September 17-20, 2006. The poster.
Links

Research Stuff

 

 

Jobs and Others

• Department of Mathematics • University of Cincinnati • Mathematics Library • Blackboard • Onestop Services • Taft Memorial Fund •

• Electronic Reserve • Google • Adv Book Search • MathSciNet • MathSearch • NUMDAM • Lecture Notes in Mathematics • Prof. Wlodzimierz Bryc •