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bio website grigory.us
location United States
age 27
visits member for 4 years, 10 months
seen Oct 16 at 22:07

Sep
12
revised Distribution of a random walk on a directed line
added 141 characters in body
Sep
12
comment Distribution of a random walk on a directed line
Good point, but a closed approximation up to low order terms is fine, i.e. $P[X_2 = 1] = \frac{\ln n }{ n} + \frac{c}{n} + o\left(\frac{1}{n}\right)$.
Sep
11
revised Distribution of a random walk on a directed line
added 67 characters in body
Sep
11
comment Distribution of a random walk on a directed line
Thanks, but this still doesn't seem like a closed form. If I take $\frac{d^t g_{nj}(z) }{ d z^t}$ at $z = 0$ then it still looks like an expansion over all possible paths.
Sep
11
revised Distribution of a random walk on a directed line
added 7 characters in body; edited title
Sep
11
asked Distribution of a random walk on a directed line
Jul
2
awarded  Curious
Jun
16
awarded  Popular Question
Jun
25
awarded  Revival
Jun
25
awarded  Promoter
Mar
13
accepted Making a non-monotone function monotone
Mar
2
answered Making a non-monotone function monotone
Feb
27
awarded  Popular Question
Jan
21
comment Approximation theory under $L_1$-error
Thank you, did you have a chance to look at these sources? Unfortunately, I can't find any preview online and my university library doesn't have them as well.
Jan
21
revised Approximation theory under $L_1$-error
added 56 characters in body; added 17 characters in body
Jan
21
asked Approximation theory under $L_1$-error
Nov
9
accepted Volume change under linear transformation
Nov
9
comment Volume change under linear transformation
Thank you, Sergei! There is a specific reason, why the $L_1$-balls are important, rather than $L_\infty$-balls. However, because I am ultimately interested in some specific class of linear mappings, the combinatorial type is fixed and one can get a closed formula.
Nov
9
comment Volume change under linear transformation
Thank you, but I am not sure I understand how can this be used to compute the $\mathcal{L}^m(f(S))$, which I am interested in. Also, shouldn't the formula have $\mathcal{H}^{n - m}$, rather than $\mathcal{H}^{m - n}$ on the left-hand side?
Nov
9
asked Volume change under linear transformation