Ariel Yadin's Homepage

Randomness is very hard to achieve. Order keeps creeping in when you're not looking.

I am a researcher at the Department of Mathematics, Ben Gurion University.

I did my Ph.D. under Itai Benjamini at the Weizmann Institute.

I was a Herchel Smith post-doc at the University of Cambridge, where I got to meet some great people...

    

(I'm on the left.)

My email is in the usual format: firstname.lastname [at] gmail.com

The concept for this page is by
Ronen Gradwohl. Toda.

BGU PET Seminar: Tuesdays at 10:50, room -101

Publications (on the arXiv).

Teaching

Lecture Notes

• Harmonic functions on groups


• Random Walks


• Percolation


• Probability


• Measure Theory

Courses

• Spring '16:      Random Walks


• Spring '16:      Probability (201.1.8001)


• Spring '16:      Introduction to Probability B (201.1.9101)


• Fall '14-'15:      Probability (201.1.8001)


• Fall '14-'15:      Probability for EE (201.1.9831)


• Fall '14-'15:      Measure Theory (201.1.0081)


• Fall '13-'14:      Probability (201.1.8001)


• Fall '13-'14:      Probability for EE (201.1.9831)


• Fall '13-'14:      Measure Theory (201.1.0081)


• Spring '13:      Graduate Basic Notions Seminar


• Spring '13:      Percolation


• Fall '12-'13:      Probability (201.1.8001)


• Fall '12-'13:      Probability for EE (201.1.9831)


• Spring '12:      Stochastic processes


• Fall '11-'12:      Probability (201.1.8001)


• Fall '11-'12:      Introduction to Probability A


• Spring '11:      Algebra 2

Gallery

Some pictures related to my research, click to enlarge.

• DLA on a discrete cylinder. The base graph is the cycle on 500 vertices.
  Approximately 64,400 particles.
  
  
• Simple random walk (grey) and its loop-erasure (black) on two similar graphs.
  The Euclidean plane, Z^2 (left), and the infinite component after super-critical percolation (with parameter 3/4) on Z^2 (right).
  
  
• Simple random walk (grey) and its loop-erasure (black) on a random environment on Z^2.
  The environment is i.i.d. uniform (0,1) random variables p(z) for all z in Z^2, such that the probability either to go up or to go down is p(z)/2, and the probability either to go left or to go right is (1-p(z))/2.
  
  
• Laplacian-infinity path on a 600x600 torus. Starting vertex and target are at antipodal points. Definitely not SLE(0).
  
  
• Tricolor percolation. A self-avoiding path in 3D, determined by exploring the interface between cells of the BCC lattice colored randomly in 3 colors.