23,754 reputation
25193
bio website ilorentz.org/beenakker
location Leiden, The Netherlands
age
visits member for 4 years, 4 months
seen 12 hours ago
physicist at Leiden University

2d
comment Can Shor's Algorithm be modified to run efficiently on a classical computer?
the problem you are running into with the negative weight in your Monte Carlo algorithm is the infamous "negative sign problem"; it is believed to be NP-hard --- arxiv.org/abs/cond-mat/0408370
Apr
18
answered A moment problem
Apr
15
comment Average Value of Area Closed by Brownian Motion
thanks for the clarification; if the path is not closed, wouldn't the definition of "enclosed area" depend on the choice of origin? (I'm thinking of a straight line, what area does it "enclose"?)
Apr
15
comment Area enclosed by Brownian motion (without winding number)
math.stackexchange.com/questions/251856/…
Apr
14
comment Average Value of Area Closed by Brownian Motion
hmm, I'm a bit confused: the average of $|A|$ would give $L(2)$ which is the Catalan number, which seems to disagree with the answer I found in the literature.
Apr
12
awarded  reference-request
Apr
11
awarded  Nice Answer
Apr
11
revised Has this strong number theoretic conjecture of Euler been proved, and where could I find such a proof?
added 80 characters in body
Apr
11
revised Has this strong number theoretic conjecture of Euler been proved, and where could I find such a proof?
added 80 characters in body
Apr
11
answered Has this strong number theoretic conjecture of Euler been proved, and where could I find such a proof?
Apr
11
comment Has this strong number theoretic conjecture of Euler been proved, and where could I find such a proof?
Polya's book is online here: archive.org/stream/Induction_And_Analogy_In_Mathematics_1_#page/…
Apr
10
comment Average Value of Area Closed by Brownian Motion
thanks for the caveat, I added pertinent references to Lévy and later work.
Apr
10
revised Average Value of Area Closed by Brownian Motion
added 271 characters in body
Apr
10
revised Average Value of Area Closed by Brownian Motion
added 335 characters in body
Apr
9
answered Average Value of Area Closed by Brownian Motion
Apr
8
revised What happens to continuous spectrum upon discretization?
deleted 7 characters in body
Apr
8
answered What happens to continuous spectrum upon discretization?
Apr
7
comment What happens to continuous spectrum upon discretization?
the spectrum remains continuous, but bounded --- see the example of the discrete Laplacian discussed here: math.stackexchange.com/questions/32699/…
Apr
7
revised acoustic dipole volume integral w/ dirac delta?
deleted 25 characters in body
Apr
7
comment acoustic dipole volume integral w/ dirac delta?
your formula is correct, but if you want to end up with a pure surface integral, it's not helpful.