Difference between revisions of "Past Probability Seminars Spring 2020"

From UW-Math Wiki
Jump to: navigation, search
Line 65: Line 65:
 
Loop percolation is a random collection of closed cycles in the square lattice Z^2, that is closely related to critical bond percolation. Its "connectivity pattern" is a random noncrossing matching associated with a loop percolation configuration that encodes information about connectivity of endpoints. The same probability measure on noncrossing matchings arises in several different and seemingly unrelated settings, for example in connection with alternating sign matrices, the quantum XXZ spin chain, and another type of percolation model called pipe percolation. In the talk I will describe some of these connections and discuss some results about the study of pipe percolation from the point of view of the theory of interacting particle systems. I will also mention the "rationality phenomenon" which causes the probabilities of certain natural connectivity events to be dyadic rational numbers such as 3/8, 97/512 and 59/1024. The reasons for this are not completely understood and are related to certain algebraic conjectures that I will discuss separately in Friday's talk in the Applied Algebra seminar.
 
Loop percolation is a random collection of closed cycles in the square lattice Z^2, that is closely related to critical bond percolation. Its "connectivity pattern" is a random noncrossing matching associated with a loop percolation configuration that encodes information about connectivity of endpoints. The same probability measure on noncrossing matchings arises in several different and seemingly unrelated settings, for example in connection with alternating sign matrices, the quantum XXZ spin chain, and another type of percolation model called pipe percolation. In the talk I will describe some of these connections and discuss some results about the study of pipe percolation from the point of view of the theory of interacting particle systems. I will also mention the "rationality phenomenon" which causes the probabilities of certain natural connectivity events to be dyadic rational numbers such as 3/8, 97/512 and 59/1024. The reasons for this are not completely understood and are related to certain algebraic conjectures that I will discuss separately in Friday's talk in the Applied Algebra seminar.
  
<!--== Thursday, April 17, TBA ==-->
 
 
<!-- Thursday, April 24, TBA -->
 
  
 
== Thursday, May 1, [http://math.uchicago.edu/~auffing/ Antonio Auffinger] U Chicago ==
 
== Thursday, May 1, [http://math.uchicago.edu/~auffing/ Antonio Auffinger] U Chicago ==

Revision as of 14:38, 16 June 2014


Fall 2014

Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted.

If you would like to sign up for the email list to receive seminar announcements then please send an email to Probsem.jpg

Past Seminars