bio | website | wisdom.weizmann.ac.il/… |
---|---|---|
location | Israel | |
age | ||
visits | member for | 2 years, 11 months |
seen | Apr 21 at 12:39 | |
stats | profile views | 248 |
Jul 2 |
awarded | Curious |
Jun 5 |
answered | Property/Relations using Fourier series/transform, which give complete information about all the jump singularities of a function. |
Jun 2 |
accepted | Is the following conjecture regarding rotational iterates of collection of points on a circle true? |
Jun 2 |
comment |
Is the following conjecture regarding rotational iterates of collection of points on a circle true?
@Anthony Quas: This comes from estimating condition numbers of Vandermonde matrices with nodes on the circle. |
Jun 2 |
comment |
Is the following conjecture regarding rotational iterates of collection of points on a circle true?
Since your rescale everything to $[0,1)$, I think $\alpha$ should be multiplied by $\pi$. Also, could you please provide more intuition regarding the usage of the Dirichlet principle? Thanks! |
Jun 1 |
asked | Is the following conjecture regarding rotational iterates of collection of points on a circle true? |
May 12 |
comment |
Inverse of matrix of generalised harmonic numbers
@ChristianRemling: Unfortunately, this is not the case. $H^{-1}$ does have negative entries (as does the inverse of the Hilbert matrix), so even for a 2-by-2 case the matrix $H^{-1}R-I$ has $O(1)$ entries. |
May 11 |
comment |
Inverse of matrix of generalised harmonic numbers
@ChristianRemling: the problem is that one cannot write $R=H(I+O(1/n))$ in this case. Rather, $O(1/n)H$ stands for a matrix whose $i,j$-th entry is $O(1/n)$ times the $i,j$-th entry of $H$. |
May 11 |
awarded | Informed |
May 11 |
asked | Inverse of matrix of generalised harmonic numbers |
May 4 |
asked | Estimating decay of certain trigonometric polynomials |
Apr 30 |
asked | What is the space of pairwise distances associated with $n$-tuples of points on a circle? |
Jan 22 |
revised |
Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
Typo |
Jan 22 |
comment |
Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
Benjamin, thanks for the reference to Cauchy-Binet. However it does not seem to be helpful straight away. First notice that $N>k$ and thus the maximal minors would be $k\times k$. Second, these minors are definitely NOT the usual Vandermonde because they would involve non-consecutive powers of the $z$ variables. For instance, if $k=3$ and $N>5$ then there would be the minor $$\begin{pmatrix} z_1 & z_2 & z_3\\ z_1^3 & z_2^3 & z_3^3\\z_1^4 & z_2^4 & z_3^4 \end{pmatrix}.$$ |
Jan 22 |
revised |
Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle
tag added |
Jan 22 |
asked | Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle |
May 24 |
awarded | Yearling |
Apr 4 |
accepted | Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities |
Apr 4 |
comment |
Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities
Thanks Manuel! That kind of things is exactly what I needed. |
Mar 31 |
comment |
Constructing a linear ODE for a product of two holonomic functions without introducing additional singularities
Since my German is nonexistent, could you please pinpoint the location in the paper where they talk about the case of one singular point? Also, I couldn't figure out if they always assume that the solutions of the ODEs are entire functions... |