360 reputation
27
bio website
location
age
visits member for 2 years, 7 months
seen Sep 3 at 15:03

I'm a Phd student working in spectral analysis and stochastic processes.


Feb
10
accepted Is irreducibility sufficient for uniqueness of invariant distribution for a Feller Semigroup?
Feb
3
comment semiclassical principal symbol
-1 is of top order in $h$...
Jan
30
revised Is irreducibility sufficient for uniqueness of invariant distribution for a Feller Semigroup?
added tag
Jan
30
asked Is irreducibility sufficient for uniqueness of invariant distribution for a Feller Semigroup?
Jun
25
awarded  Revival
Feb
1
awarded  Yearling
Oct
15
revised Applications of Hodge-de Rham Laplacian on p-forms ($p\neq 0,n$) in physics or engineering
added 12 characters in body
Oct
15
comment Applications of Hodge-de Rham Laplacian on p-forms ($p\neq 0,n$) in physics or engineering
I like your answer too, just wanted to clarify some potential ambiguity!
Oct
10
revised Applications of Hodge-de Rham Laplacian on p-forms ($p\neq 0,n$) in physics or engineering
added 7 characters in body
Oct
10
answered Applications of Hodge-de Rham Laplacian on p-forms ($p\neq 0,n$) in physics or engineering
Oct
10
comment Applications of Hodge-de Rham Laplacian on p-forms ($p\neq 0,n$) in physics or engineering
Hmmm, isn't it the other way around? He uses supesymmetric quantum mechanics to prove Morse inequalities, as far as I understand! And he does not consider exactly the Hodge Laplacian, but a distorted version of it (now called Witten Laplacian). But I agree that indeed, the Witten Laplacian on the full algebra of forms is used. A bit more precisely: the Witten Laplacian is a Schroedinger type operator for every $p=0,\dots,n$ and he uses semiclassical spectral approximation (through Harmonic oscillators) of these Schroedinger operators to get the Morse inequalities.
Oct
7
answered Describe a topic in one sentence.
Apr
24
comment Solutions to the eikonal equation
@Robert Bryant: hmm, this is what I thought at the beginning, but I'm not convinced. It seems to me that the quadratic approximation is not enough to decide. Why should $L^+\geq L$ imply $\phi^+\geq \phi$ near $p$? (We really have $L^+\geq L$ in general and not $L^+ > L$, otherwise it would be clear to me...). Do I miss something?
Apr
22
comment Solutions to the eikonal equation
@Robert Bryant. Sorry, I was imprecise: I mean the first option you mentioned.
Apr
22
comment Solutions to the eikonal equation
@Robert Bryant. Thanks for this answer. I was wondering if the solution you constructed, uniquely characterized among the smooth solutions by being $0$ in $p$ and nonnegative, could also be uniquely characterized among smooth solutions as the maximal solution. I'm pretty convinced this is true, but I don't see how to prove it. Does it follow somehow directly from your construction or are some other arguments needed? I would be very grateful if you or somebody else can comment on this!
Mar
20
awarded  Scholar
Mar
20
accepted Symmetric Feller processes and Dirichlet Forms
Mar
19
comment Additive Subgroups of the Reals.
@Syang Chen. Many thanks.
Mar
14
comment weighted Poincare inequality
@Alekk. I'm wondering about your function $h$. What are the typical $h$'s you have in mind? What would be the meaning of $h$ for the Langevin diffusion you mentioned in "Motivations"? Is the $h$ in the paragraph between Example and Motivations the same $h$ of the Question? Could you say a bit more on this?
Mar
13
answered Eliminating 1st order terms in elliptic partial differential equation