Ariel Yadin's Homepage

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

I am a Herchel Smith post-doc at the Sats Lab (DPMMS) at the University of Cambridge.

I did my PhD under the supervision of Itai Benjamini, at the Weizmann Institute of Science,

    

I can be reached at: A.Yadin [at] statslab.cam.ac.uk

• Gallery
• Publications

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.
  
  

Publications

Math

• Itai Benjamini, Gady Kozma, Ariel Yadin, Amir Yehudayoff,
  Entropy of Random Walk Range
  Ann. Inst. H. Poincaré Probab. Statist., to appear.
  [arXiv:math.PR/0903.3179]
• Ariel Yadin, Amir Yehudayoff,
  Loop-Erased Random Walk and Poisson Kernel on Planar Graphs
  Submitted .
  [arXiv:math.PR/0809.2643]
• Ronen Gradwohl, Omer Reingold, Ariel Yadin, Amir Yehudayoff,
  Players' Effects Under Limited Independence
  Mathematics of Operations Research, to appear.
  [arXiv:math.PR/0805.0400]
• Ron Peled, Ariel Yadin, Amir Yehudayoff,
  The Maximal Probability that k-wise Independent Bits are All 1
  Random Structures and Algorithms, to appear.
  [arXiv:math.PR/0801.0059]
• Ariel Yadin,
  When Do Random Subsets Decompose a Finite Group?
  Israel Journal of Mathematics, to appear.
  [arXiv:math.PR/0712.3019]
• Ariel Yadin,
  Rate of Escape of the Mixer Chain
  Electronic Communications in Probability 14 (2009) 347-357.
  [arXiv:math.PR/0506.5129]
• Itai Benjamini, Ariel Yadin, Ofer Zeitouni,
  Maximal Arithmetic Progressions in Random Subsets
  Electronic Communications in Probability 12 (2007), 365-376.
  [arXiv:math.PR/0707.3888]
• Itai Benjamini, Noam Berger, Ariel Yadin,
  Long Range Percolation Mixing Time
  Combinatorics, Probability and Computing 17 (2008), 487-494.
  [arXiv:math.PR/0703872]
• Itai Benjamini, Ariel Yadin,
  Diffusion Limited Aggregation on a Cylinder
  Communications in Mathematical Physics 279 (2008), 187-223.
  [arXiv:math.PR/0701201]
• Itai Benjamini, Ariel Yadin, Amir Yehudayoff,
  Random Graph-Homomorphisms and Logarithmic Degree
  Electronic Journal of Probability 12 (2007), 926-950.
  [arXiv:math.PR/0611416]

 

Philosophy

• Ariel Yadin,
  Assuming Determinism, Free Will is an Illusion
  IYYUN 53 (2004), 275-286.