bio  website  people.virginia.edu/~aa4cr/… 

location  University of Virginia  
age  
visits  member for  4 years, 10 months 
seen  9 hours ago  
stats  profile views  3,669 
I am a mathematical physicist working on:
• Constructive quantum field theory.
• Rigorous renormalization group methods.
• Mathematical statistical mechanics.
• Combinatorics related to Feynman diagrams and cluster expansions.
• Classical invariant theory, and applications of the classical symbolic method to problems in algebraic geometry and representation theory.
12h

comment 
$\mathcal S'(\mathbb R^d)$ is separable
@Eric: see the reference in my edit, or the book mentioned by Igor. 
12h

reviewed  Leave Open $\mathcal S'(\mathbb R^d)$ is separable 
12h

comment 
$\mathcal S'(\mathbb R^d)$ is separable
@Igor: Reed and Simon is standard among mathematical physicists, but I don't know if it so for the majority of users of the theory of distributions. In any case, Barry Simon did much to emphasize this sequence space connection. 
12h

revised 
$\mathcal S'(\mathbb R^d)$ is separable
added 525 characters in body 
13h

comment 
$\mathcal S'(\mathbb R^d)$ is separable
why so many votes to close? One could say this is a "basic question" in the theory of distributions and therefore perhaps more suited for math.stackexchange. But how many textbooks on distributions contain the answers to such basic questions? 
13h

answered  $\mathcal S'(\mathbb R^d)$ is separable 
1d

answered  Weakly correlated Bernoulli field 
2d

answered  What's the relation between spin model for subfactors theory and physics? 
2d

comment 
cumulant problem
Unfortunately GC Rota passed taking away with him potential explanations of many mysterious statements like the one in the quote above...Somewhat related is this MO question: mathoverflow.net/questions/107526/… 
May 7 
comment 
$S_k(x+y)S_k(x)S_k(y)$ where $S_k$ is symmetric polynomial
It's a good start but one has sums $\sum_i x_i^a y_i^b$ say with $a>b$ and one has to peel off the $x_i^{ab}$ from the $(x_i y_i)^b$ somehow. 
May 7 
comment 
$S_k(x+y)S_k(x)S_k(y)$ where $S_k$ is symmetric polynomial
$S_k$ for the elementary symmetric functions, what a horrible notation... 
May 4 
reviewed  Leave Open Examples of $C^*$algebras in Noncommutative Geometry from A. Connes 
May 4 
reviewed  Approve If the quotient of an algebraic space $X$ by a finite group is a scheme, is $X$ a scheme? 
Apr 22 
comment 
Squaring random Schwartz distributions
Thanks Martin. I didn't know that your magnum opus contained a generalization of the LV extension theorem... 
Apr 21 
comment 
Squaring random Schwartz distributions
@Martin: yes this is also the impression I got. Complete dependence is not preserved under weak convergence of the joint probability distributions. So indeed their paper does not go as far as constructing a map $Sq$. I was wondering if 1) by working harder one could refine their result and construct such a map which would give the same join distribution or 2) there is some nogo theorem which would show that 1) is impossible. A related question is if there is a nonconstructive way of showing some $Sq$ map exists as in the theorem of Lyons and Victoir. 
Apr 21 
revised 
Squaring random Schwartz distributions
fixed formula 
Apr 15 
answered  Existence of an invariant measure on an infinite dimensional space via Lyapunov functional 
Apr 11 
revised 
Criterion for weak convergence of probability measures on S' or D'
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Apr 11 
answered  Criterion for weak convergence of probability measures on S' or D' 
Apr 11 
revised 
Criterion for weak convergence of probability measures on S' or D'
fixed latex 