3,531 reputation
832
bio website people.virginia.edu/~aa4cr/…
location University of Virginia
age
visits member for 4 years, 9 months
seen 8 hours ago

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
answered Moment problem for discrete distributions
14h
answered Mathematical statistical qm book-recommendation
14h
answered Interplay between Loop Quantum Gravity and Mathematics
Feb
4
revised Symmetric polynomial from graphs
fixed grammar and typos
Feb
4
revised Symmetric polynomial from graphs
added 200 characters in body
Feb
3
awarded  Enlightened
Feb
3
awarded  Nice Answer
Jan
28
comment An integral with respect to the Haar measure on a unitary group
@Peter: Just a follow up on Carlo's suggestion. I don't think you want to compute the integral of exp sum of traces as in your last comment. $\int\exp(t\ {\rm tr}(A^{-1}HDH^{\dagger}))dH$ is enough, then take derivatives in $t$. That's the famous Harish-Chandra-Itzykson-Zuber integral. See e.g. terrytao.wordpress.com/2013/02/08/…
Jan
22
revised Invariants for the exceptional complex simple Lie algebra $F_4$
fixed typo
Jan
21
comment Equivalence of Gaussian measures
@Nate: Maybe I missed something but the $C$ in your example should be of trace class?
Jan
16
reviewed Approve How did Ramanujan discover this identity?
Jan
16
answered Determine whether a system of polynomials with real coefficients has a real solution?
Jan
12
comment Harmonic Crystal using Random Walk
Sections 1.5 and 1.6 of the book by Lawler have what you are looking for.
Jan
12
answered spaces of probability measures on a Polish space and the convergence
Jan
12
answered Generating functions, Tutte polynomials, and the bivariate series $\sum_n x^n y^{n^2} / n!$.
Jan
12
revised Gaussian distributions as fixed points in Some distribution space
fixed URL
Jan
12
revised Central limit theorem via maximal entropy
fixed typos and phrasing
Jan
3
revised Gaussian distributions as fixed points in Some distribution space
added 224 characters in body
Dec
30
revised Gaussian distributions as fixed points in Some distribution space
added a reference
Dec
30
answered Gaussian distributions as fixed points in Some distribution space