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Pierpaolo Vivo's user avatar
Pierpaolo Vivo's user avatar
Pierpaolo Vivo's user avatar
Pierpaolo Vivo
  • Member for 8 years, 5 months
  • Last seen more than 2 years ago
18 votes
4 answers
3k views

Find the simplest counterexample against exchanging limit and summation

7 votes
3 answers
463 views

Asymptotic of an integral involving sine and erf

5 votes
0 answers
153 views

Nasty logarithmic infinite sums arising from a tan integral

5 votes
2 answers
188 views

Probability of winning/losing a lonely card game when you shout an integer progressively each time you draw

4 votes
0 answers
890 views

Expansion of Gaussian function in a series of exponential functions

3 votes
1 answer
219 views

Integral analog of geometric series

2 votes
0 answers
258 views

Are there infinite self-locating strings in the decimal expansion of $\pi$?

2 votes
2 answers
614 views

Conditions for a Maclaurin series to have (positive) integer coefficients

2 votes
1 answer
72 views

Simple counterexample on integral asymptotics

2 votes
1 answer
74 views

Find a probability density function (pdf) $p(x)$ such that $\langle \log(x+2)\rangle$ does not exist

2 votes
1 answer
229 views

Counting triples with a fixed sum using Kronecker delta and complex integration

2 votes
0 answers
250 views

Multidimensional Gaussian-Fresnel integral related to a matrix inverse

2 votes
1 answer
347 views

Numerical diagonalization of a random hermitian matrix $H=U\Lambda U^{-1}$: enforce uniqueness and uniformity of $U$

2 votes
1 answer
172 views

Expansion of $\log|x-y|$ in Chebyshev polynomials

2 votes
3 answers
265 views

Probability density function invariant under $x\mapsto 1/x$

2 votes
0 answers
466 views

Determinant of the Laplacian matrix of a tree graph

2 votes
2 answers
213 views

Simplest proof that a rank-1 matrix with prescribed row and column sums is unique

1 vote
0 answers
48 views

Laplace approximation of an integral for which $w(x^\star)$ vanishes

1 vote
1 answer
295 views

Integral involving Bessel function and exponential

1 vote
2 answers
218 views

Exact formula for $P_n(r)$, the probability of drawing a card of rank $r$ from a standard shuffled deck at the $n$-th draw without replacement.

1 vote
0 answers
68 views

Closed form for an integral involving an inverse square root and a cube

1 vote
0 answers
163 views

Gap probability for i.i.d. random variables

1 vote
0 answers
231 views

Self-consistency transcendental equation for Curie-Weiss model

1 vote
2 answers
263 views

Large-time limit of the general solution of an ODE is a fixed-point. Is the fixed-point stable?

1 vote
3 answers
135 views

Does $\mathbf{u}^T \mathbf{J}\mathbf{u}= N\lambda_{\mathrm{max}}$ imply that $\mathbf{u}$ is the 'largest' eigenvector?

1 vote
2 answers
139 views

Integral involving exponential and power

1 vote
0 answers
158 views

Integral representation for $\exp(-1/\sqrt{x})$

0 votes
4 answers
60 views

Smarter way to solve a nonlinear system of two equations

0 votes
0 answers
53 views

Derivative of complex logarithm of analytic function: can it be analytic?

0 votes
1 answer
157 views

Do sub-stochastic matrices reduce the 1-norm of vectors?