1,646 reputation
616
bio website nicolasessisbreton.com
location Montreal, Canada
age 29
visits member for 2 years, 8 months
seen 3 hours ago

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


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: $\partial_t u(t,x)+\frac12 \partial_{x,x} u(t,x)+u(t,x)v(x)=0$
Nov
5
accepted Show smooth functions of compact support are dense in the Schwartz space
Nov
2
accepted Show the usual Schwartz semi-norm is a norm on the Schwartz space
Oct
29
accepted Show $|\left(e^{-ixt}-1 \right)/t| \le |x|$, $x ,t\ne 0$