bio | website | people.virginia.edu/~aa4cr/… |
---|---|---|
location | University of Virginia | |
age | ||
visits | member for | 5 years |
seen | Jul 15 at 17:19 | |
stats | profile views | 3,756 |
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.
Jul 7 |
awarded | Yearling |
Jun 22 |
awarded | Necromancer |
May 22 |
comment |
$\mathcal S'(\mathbb R^d)$ is separable
@Eric: see the reference in my edit, or the book mentioned by Igor. |
May 22 |
reviewed | Leave Open $\mathcal S'(\mathbb R^d)$ is separable |
May 22 |
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. |
May 22 |
revised |
$\mathcal S'(\mathbb R^d)$ is separable
added 525 characters in body |
May 22 |
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? |
May 22 |
answered | $\mathcal S'(\mathbb R^d)$ is separable |
May 21 |
answered | Weakly correlated Bernoulli field |
May 20 |
answered | What's the relation between spin model for subfactors theory and physics? |
May 20 |
comment |
cumulant problem
Unfortunately G-C 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 $x_i^{a-b}$ 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 no-go 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'
deleted 1 character in body |