bio | website | gilkalai.wordpress.com |
---|---|---|
location | Jerusalem | |
age | 59 | |
visits | member for | 5 years, 7 months |
seen | 13 hours ago | |
stats | profile views | 18,086 |
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University
Apr 28 |
asked | Models for graphs representing real-life networks |
Apr 16 |
awarded | Good Answer |
Apr 14 |
awarded | Good Answer |
Apr 13 |
revised |
Fundamental Examples
added 31 characters in body |
Apr 12 |
awarded | Favorite Question |
Apr 12 |
revised |
Intersecting Family of Triangulations
added 195 characters in body |
Apr 12 |
comment |
Intersecting Family of Triangulations
Dear Bruno, thanks very nice! |
Apr 5 |
comment |
Enumeration of $0-1$ matrices with determinant $1$
Regarding det (A) behaving uniformly below the value $n^{n/2}$ there is a heuristic which slightly corrects it (but it looks that it will not make a difference regarding the $2^{n^2-O(n\log n)}$ estimate. The heuristic is that mod a prime the determinant of A behaves like that of a random matrix modulo p. This gives some guess regarding ,e.g., $prob (det (A)=2) /Prob (det (A)=1). |
Apr 5 |
comment |
Enumeration of $0-1$ matrices with determinant $1$
There are several heuristic arguments for the asymptotic of f(n) which unfortunately gives different answers. Probably I would vote against the idea that upper unitriangular matrices gives most contribution. There are pretty good results and even better conjectures for the number of matrices with determinant 0. This occurse (conjecturaly) mainly if a row (column) is zero or two rows (columns) agree which gives 2^n^2 / n^2 2^n. This suggests that f(n) is also at most 2^n^2/c^n. It is reasonable to believe that det (A) is pretty close to being uniform below n^n/2 which justifies Noam's guess. |
Apr 4 |
revised |
f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential
added 84 characters in body |
Mar 12 |
awarded | Nice Answer |
Mar 11 |
answered | Logic in mathematics and philosophy |
Mar 3 |
awarded | Good Answer |
Feb 28 |
revised |
f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential
added 167 characters in body; edited title |
Feb 28 |
answered | Experimental Mathematics |
Feb 28 |
revised |
Logic in mathematics and philosophy
added 128 characters in body |
Feb 19 |
comment |
The amplituhedron minus the physics
I meant that the matrix representing the projection is totally positive (all minors are positive). It is enough that all maximal minors are positive. |
Feb 18 |
revised |
The amplituhedron minus the physics
added 340 characters in body |
Feb 18 |
revised |
What is the amplituhedron?
added 289 characters in body |
Feb 12 |
comment |
Primes and Parity
Dear Mark, my highly uneducated guess would be that just based on density (or even on other known properties or even on RH) you want be able to find a small collection of such AP's. |