1,697 reputation
1820
bio website nicolasessisbreton.com
location Montreal, Canada
age 30
visits member for 3 years, 4 months
seen yesterday

I'm a graduate math student at Concordia University, Montreal.


Jan
16
accepted Distribution of the number of children needed so that at least both a girl and a boy are born
Jan
15
accepted Show the Fourier transform is continuous in the Schwartz space $\mathcal S(\Bbb R)$
Jan
15
accepted Give an example: $X, Y$ metric space, $X$ not compact, there is no $V$ for which $f^{-1}(V) \subset U$
Dec
29
accepted Compound Poisson process: calculate $E\left( \sum_{k=1}^{N_t}X_k e^{t-T_k} \right)$, $X_k$ i.i.d., $T_k$ arrival time
Dec
29
accepted True or False: $f$ analytic in the right plane, continuous on the boundary, $|f| \le 1$ on the boundary, then $|f| \le 1$
Dec
29
accepted $T,U$ self-adjoint, $U$ positive definite, then $TU$ has only real eigenvalues
Dec
27
accepted If n people randomly pick one hat out of n hats, why is the probability of a match $1/n$? What about order of previous hats?
Dec
27
accepted Show $\int_0^1 f(x) dx \int_0^1 \ln f(x) dx \le \int_0^1 f(x) \ln f(x) dx$, when $f \ge 1$
Dec
26
accepted Show $\ln x \le x \ln x, x > 0$
Dec
26
accepted Show $\exists f \ni f(x)^5+f(x)^4+f(x)^3+f(x)^2+6f(x)=x$
Dec
18
accepted Dirichlet Problem: Uniqueness of solution
Nov
20
accepted Dirichlet problem: Obtaining the harmonic measure through Riesz representation theorem
Nov
19
accepted Dirichlet problem: Is the Poisson Integral always a solution?
Nov
13
accepted Quadratic variation of $X_t=\int_0^t B_s \, ds$
Nov
13
accepted Condition for existence of a stochastic differential equation
Nov
13
accepted Find the Hardy-Littlewood maximal function of $\chi_{[-1,1]}$ on $\Bbb R$
Nov
12
accepted Show the convolution of a $C_c^\infty (\Bbb R^n)$ function with a $L^p(\Bbb R^n)$ function is in $C^\infty(\Bbb R^n)$, $1\le p\le\infty$
Nov
9
accepted Show a Schwartz function vanish at infinity
Nov
8
accepted Applying Ito formula to the Brownian bridge
Nov
7
accepted Second order linear partial differential equation: $\partial_t u(t,x)+\frac12 \partial_{x,x} u(t,x)+u(t,x)v(x)=0$