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Feb
7
revised Optimal Monotone Families for the Discrete Isoperimetric Inequality
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Feb
6
answered Magic trick based on deep mathematics
Feb
5
revised randomness in nature
added 210 characters in body
Feb
3
awarded  Popular Question
Feb
3
answered Taking lecture notes in lectures
Feb
1
revised Generalizations of Planar Graphs
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Feb
1
comment Which mathematical ideas have done most to change history?
The decimal number notation had an amazingly important impact. I doubt if any other item on the list can compete. (Maybe the invention of the wheel which has some mathematics to it can...)
Jan
31
revised Optimal Monotone Families for the Discrete Isoperimetric Inequality
added 620 characters in body
Jan
31
comment The shortest path in first passage percolation
That's an interesting variation of the problem that might be easier. When you say add (x odd y even) hald the time do you mean with probability 1/2? I suppose also the (x even y odd) vertices are also added half the time. that's interesting.
Jan
31
awarded  Good Question
Jan
30
revised The shortest path in first passage percolation
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Jan
28
awarded  Nice Answer
Jan
27
awarded  Popular Question
Jan
26
revised What is an integrable system
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Jan
26
comment Experimental Mathematics
A quotient of a polytope P corresponds to an interval in the face lattice: all the faces that contain a face G and are contained in a face H. The set of these faces are the set of faces of a polytope Q of dmension dim G - dim H - 1. Intervals of the form [emptyset, F] simply correspond to the faces of F. Polyope duality allow you to think easily about intervals of the form [F,P].
Jan
26
awarded  Popular Question
Jan
26
answered Experimental Mathematics
Jan
26
comment Weighted Regular Graphs
when you consider a vertex v youtake sum w(u) for all edge {v,u} so the weight of v does not matter except when you have a loop (so when u=v)
Jan
26
comment Expected determinant of a random NxN matrix.
There is another simple proof based on Cauchy Binet theorem. Turan published (in Chinese) a formula for the sum of the 4th power. (I think there are simpler proof but I dont know a reference). I am not aware of a formula for higher powers.
Jan
26
revised Weighted Regular Graphs
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